201. There are 4 married couples, out of which, 3 poeple in a group is needed. But there should not be his or her spouse in the group. How many groups are possible?
Ans: 32.
202. In the 4 digits 1,2,3,4, how many 4 digited numbers are possible which are divisible by 4? Repeatations are allowed.
Ans: 64.
203. Two men are going along a track of rail in the opposite direction. One goods train crossed the first person in 20 sec. After 10 min the train crossed the other person who is comming in opposite direction in 18 sec. After the train has passed, when the two persons will meet?
Ans: Approx. 72 min, check it once.
204. The no. of children, adults. The no. of adults the no. of boys. The no. of boys no. of girls. The no. of girls no. of family. Conditions:-
1. No family is without a child.
2. Every girl has at least one brother and sister.
Ans: c > a > b > g > f; 9 6 5 4 3.
205. There are 4 boys - Anand, Anandya, Madan and Murali with nic-names perich, zomie, drummy and madeena not in the same order. Some conditions.
Ans: Anand : Perich
Anandya : Drummy
Madan : Zombie
Murali : Madeena
206. There are 2 diamonds, 1 spade and 1 club and 1 ace and also 1 king, 1 jack and 1 ace are arranged in a straight line.
1. The king is at third place.
2. The left of jack is a heart and its right is king.
3. No two red colours are in consecutive.
4. The queens are separated by two cards.
Write the order of which suits (hearts ,clubs)and names (jacks queens etc.) are aranged?
207. Write each statement as true or false.
8 Marks
1. The sum of the first three statements and the second false statement gives the true statement.
2. The no. of true statements > No. of false statements.
3. The sum of second true statement and first false statement gives the first true statement.
4. There are atmost 3 false statements.
5. There are no two consequtive true statements.
208. There are 3 piles each contains 10, 15, & 20 stones. There are A, B, C, D, F, G and H persons. One man can catch upto four stones from any pile. The last man who takes will win. If first A starts next B and so on, who will win?
Ans: May be F.
209. In a certain department store the position of Buyer, Cashier, Clerk, Floorwalkar & Manager are held, though not necessarily respectively, by Evans, Ames, Conroy, Davis amp; Buyer. The cashier & the manager were roommates in college. The Buyer is bachelor, Evans & Miss Ames have only business contacts with each other. Mrs. Conroy was greatly dosappointed when her husband told her that the manager had refuged to give him a raise. Davis is going to be the best man when the clerk & the cashier are married. What position does each person held?
210. In a four team foot-ball tournament, all the teams played each Other in three rounds of matches as shown in the Table - A. Some of The results of the tournament are shown in the
Table - B. Using the Clues given below, please fill in the blank columns in the result Table - B (Goals for & Goals Against?).
Note : Two points for win, one point for draw & zero points for defeat are awarded.
Clues :
1. East zone won the tournament despite scoring one less goal than the runners-up.
2. North zone scored an odd number of goals in their first round Game.
3. South zone, who failed to score in their final match, were beaten by a two-goal margin in the first round.
4. East zone lost their match aginst west zone.
5. All four teams scored goals in the second round matches.
6. West zone scored the same number of goals against east zone as North zone scored aginst them.
211. East zone scored four goals in round two match.
Table - A (Matches Played)
Round 1
North zone vs South zone
West zone vs east zone.
Round 2
South zone vs West zone
East zone vs North zone
Round 3
South zone vs East zone
West zone vs North zone.
Table - B (Results)
Played Won Draw Lost Golas For Goals Against Points
East Zone 3 - - - ? 3 4
North Zone 3 - - - ? ? 4
West Zone 3 - - - 4 3 3
South Zone 3 - - - 2 5 1
212. In certain community, there are thousand married couples. Two thirds of the husbands who are taller than their wives are also heavier and three quarters of the husbands who are heavier than their wives are also taller. If there are 120 wives who are taller and heavier than their husbands, how many husbands are taller and heavier than their wives?
213. Both the Guptas and Sinhas have two young sons, whose ages are under Eleven. The names of the boys, whose ages rounded off to the nearest year are all different, are Rajesh, Praveen, Lalith and Prathap. Taking the ages of the boys only to the nearest year, the following statements are true:-
Rajesh is three years younger than his brother is.
Praveen is the oldest.
Prathap is 5 years older than the younger Sinha's boy.
Lalith is half as old as one of the Guptha's boys.
The total ages of the boys in each family differ by the same amount today as they did five years ago.
214. A long Division Problem:-
xx)xxxxxxxxx(xxxxxxx
xx
------
xxx
xx
------
xxx
xx
-------
xx
xx
-------
xxx
xxx
-------
-------
In the complete solution, there are four 5's. Find the missing digits.
215. Following services are operated by Asian airlines between the two are located in different countries with different time zones. As it is normally done, the time shown is the local time - viz IST & TST.
Regular Flight Supersonic Flight
Arrive Alexandria 17:10 TST 15:40 TST
Depart Alexandria 20:50 TST 22:50 TST
Arrived Rampur 23:40 IST
Is the arrival time of supersonic flight into Rampur from Alexandria same as the Arrival time of the Regular flight, assuming each Service - Regular and Supersonic maintains its own constant speed of flight.
216) A, B, C, D, E related. Four of them made these statements each:-
i) C is my son-in-law's brother.
ii) B is my father's brother.
iii) E is my mother-in-law.
iv) A is my brother's wife.
Who made these statements?
217) A ship is away from the shore by 180 miles. A plane is travelling at 10 times speed of the ship. How long from the shore will they meet?
218) A clock showing 6 o'clock takes 30 secs to strike 6 times. How long will it take to strike 12 at midnight?
Ans: 66 seconds.
219) Only boys aged > 16 wear coats. Boys aged > 15 go to watch football. Some more statements are given. What can be said about those who are watching football?
220) There are 3 societies A, B amp; C having some tractors each. A Gives B and C as many tractors as they already have. After some days B gives A and C as many tractors as they have. After some days C gives A and B as many tractors as they have. Finally each has 24 tractors. What is the original No.of tractors each had in the beginning?
Ans: A - 39. B - 21. C - 12.
221. BE * BE = ACB.
A, B, C, E are non zero numbers. Find B, E.
Ans: B=1 E=9.
222. A, B, C, D, E are having numerical values. There are some conditions given:-
a) A=C <===> B!=E
b) Difference between A and C as same as difference between C and B as same as difference between A and D.
c) C < A and C > D,
Then Find A, B, C, D, E.
223. There are six cards, in which, it has two king cards. All cards are turned down and two cards are opened.
a) What is the possibility to get at least one king?
b) What is the possibility to get two kings?
224. A person went to a shop and asked for change for 1.15 paise, but he said that he could not only give change for one rupee but also for 50p, 25p, 10p and 5p. What were the coins he had?
Ans: 1-->50p 4--->10p 1--->25p.
225. There are 3 nurses and they work altogether only once in a week. No nurse is called to work for 3 consecutive days.
Nurse 1 is off on tueseday, thursday and sunday. Nurse 2 is off on saturday. Nurse 3 is off on thursday, sunday.
No two nurses are off more than once a week. Find the day on which all the 3 nurses were on work.
226. There are 5 persons A, B, C, D, E and each is wearing a block or white cap on his head. A person can see the caps of the remaining 4 but can't see his own cap. A person wearing white says true and who wears black says false.
i) A says I see 3 whites and 1 black.
ii) B says I see 4 blacks.
iii) E says I see 4 whites.
iv) C says I see 3 blacks and 1 white.
Now Find the caps weared by A, B, C, D and E.
227. There are two women, Kavitha and Shamili and two males Shyam and Aravind, who are musicians. Out of these four one is a Pianist, one Flutist, Violinist and Drummer.
i) Across Aravind beats Pianist.
ii) Across Shyam is not a Flutist.
iii) Kavitha's left is a Pianist.
iv) Shamili's left is not a Drummer.
v> Flutist and Drummer are married.
228. 1/3 rd of the contents of a container evaporated on the 1st day. 3/4 th of the remaining contents of the container evaporated the second day. What part of the contents of the container are left at the end of the second day?
229. A man covered 28 steps in 30 seconds but he decided to move fast and covered 34 steps in 18 seconds. How many steps are there on the escalator when stationary?
1. Person1: Most of us are satch J.
Person2: Most of us are jute S.
Person3: Two of us are satch J.
Person4: Three of us are jute J.
Person5: I am satch J we have to find who is satch and who is jute.
Ans: S: Satch J:Jute.
2. Four persons are there to cross a bridge they have one torch light.
Person A can cross in 1 min.
Person B can cross in 2 min.
Person C can cross in 5 min.
Person D can cross in 10 min.
They have to cross bridge with in 17 min. At a time only two persons can cross.
I. A & B ----> 2.
II. A <---- 1.
III. C & D ----> 10.
IV. B <---- 2.
V A & B ----> 2
______________
Total 17.
230. What is the maximum number of slices can you obtain by cutting a cake with only 4 cuts?
Ans: 16.
231. Three are three boxes. In first box, two white balls. In second box, 2 black balls. In third box, 1 white & 1 black ball. The lables on the boxes are not correct. Then you have to open one box and to find the colour of the balls in all boxes.
Ans: Open the box labled black & white. If white balls are there then the box labled with white balls contain black balls and labled with black balls contain one black and one white ball and vice versa, if two black balls are there.
232. There is a 4 inch cube painted on all sides. This is cut into number of 1 inch cubes. What is the number of cubes which have no painted sides?
233. Sam and Mala have a conversation. Sam says I am certainly not over 40. Mala says I am 38 and you are atleast 5 years older than me. Now Sam says you are atleast 39. All the statements by the two are false. How old are they realy?
234. Ram singh goes to his office in the city every day from his suburban house. His driver Mangaram drops him at the railway station in the morning and picks him up in the evening. Every evening Ram singh reaches the station at 5 o'clock. Mangaram also reaches at the same time. One day Ram singh started early from his office and came to the station at 4 o'clock. Not wanting to wait for the car he starts walking home. Mangaram starts at normal time, picks him up on the way and takes him back house, half an hour early. How much time did Ram singh walked?
235. Some people went for vaction. Unfortunately it rained for 13 days when they were there. But whenever it rained in the morning, they had clean afternood and vice versa. In all they enjoyed 11 morning and 12 afternoons. How many days did they stay there totally?
236. Geoffrey, Hallmann and Molly attend and interview and give three different statements each.
To make it a little complex. Out of the three statements made by each one, one is false.
Geoffrey says: I am 22 - false
Hallmann is elder than me by one year.
Molly is 25
Hallmann says: I am not the youngest -
Geoffrey is 2 years younger than me
Molly is younger than me by one year - false
Molly says: Geoffrey is 23
I am a year younger than Geoffrey
(I don't remember this statement but it is false.)
Answer:
Goeffrey is 22 as Goef states,
And Goef== 23 as Molly states.
Both cannot be true.
Either one has to be true or either one has to be false.
Start deriving from this point and u get,
Geoffrey Hallmann Molly
Age: 23 25 22
237. There is a cube, which has to be inscribed with the following pair
of numbers on opposite sides.1 and 6, 2 and 4,3 and 5.
How many different ways can it be done?
238. There's an electric wire running 1 km from the side of a building.
The number of poles in between them is placed in an interval of
distance between each other.
If one pole is removed then the distance between each pole becomes 1 2/3 meters.
Find out how many poles were kept.
239. The time taken to travel in train from Town A to Town B is 5 hours.
There are trains starting from both towns at an interval of 1 hour.
How many trains meet in 1 trip?
Ans : 10 trains check it as trains come from both sides every hour.
240. Shadow went to an Isle where the natives lie and the visitors speak truth.
Shadow saw a salesman and wanted to know whether he was a native or a visitor.
He did not pose a question directly but asked him indirect instead.
Shadow saw a woman and asked the salesman,"Is that a NATIVE or
VISITOR?" .For which the salesman replied," She is a visitor".
Is the salesman a Native or a Visitor?
Ans :
Since Shadow himself saw him/her as a woman and asked the salesman.
The Salesman replied ,"SHE " by which he speaks truth and is a Visitor.
Salesman is a Visitor.
241. Three friends divided some bullets equally.
After all of them shot 4 bullets the total number of bullets remaining is equal to the bullets each had after division.Find the original number divided.
Ans: 18 (2 marks)
Initially . x x x
Now x-4 x-4 x-4
Equation is 3x-12 = x
242. There are 3 societies A, B, C.
A lent cars to B and C as many as they had already.
After some time B gave as many tractors to A and C as many as they have.
After sometime c did the same thing. At the end of this transaction each one of them had 24.
Find the cars each orginally had.
Ans: A had 39 cars, B had 21 cars & C had 12 cars
243. The Bulls, Pacers, Lakers and Jazz ran for a contest.
Anup, Sujit, John made the following statements regarding results.
Anup said either Bulls or Jazz will definitely win
Sujit said he is confident that Bulls will not win
John said he is confident that neither Jazz nor Lakers will win
When the result cameit was found that only one of the above three had made a correct statement.
Who has made the correct statement and who has won the contest.
Ans: Sujith; Lakers
244. Five people A ,B ,C ,D ,E are related to each other.
Four of them make one true statement each as follows.
(i) B is my father's brother.
(ii) E is my mother-in-law.
(iii)C is my son-in-law's brother
(iv)A is my brother's wife.
Ans: (i) D (ii) B (iii) E (iv) C
245. Some statements are given below:
L says all of my other four friends have money
M says that P said that exactly one among them has money
N says that L said that precisely two among them have money
O says that M said that three of the others have money
P, L and N said that they have money
All the above statement are false..
Who has money & who doesn't have any money?
246. Fifty minutes ago if it was four times as many minutes past three o'clock,how many minutes is it to six o'clock?
Ans: Twenty six minutes.
247. A hotel has 10 storeys.Which floor is above the floor below the floor, below the floor above the floor, below the floor above the fifth.
Ans: The sixth floor.
248. Seven members sat around a table for three days for a conference.
The member's names were Abhishek, Amol, Ankur, Anurag,Bhuwan ,Vasu and Vikram.
The meetings were chaired by Vikram.
On the first evening members sat around the table alphabetically.
On the following two nights, Vikram arranged the seatings so that he could have Abhishek as near to him as possible and abesent minded Vasu as far away as he could.http://www.ChetanaS.com
On no evening did any person have sitting next to him a person who had previously been his neighbour. How did Vikram manage to seat everybody to the best advantage on the second and third evenings?
Ans:
Second evening:Vikram,Ankur,Abhishek,Amol,Vasu,Anurag and Bhuwan.
Third evening :Vikram,Anurag,Abhishek,Vasu,Bhuwan,Ankur,Amol.
249. Two trains start from stations A and B spaced 50 kms apart at the same time and speed.
As the trains start, a bird flies from one train towards the other and on reaching the second train, it flies back to the
first train.This is repeated till the trains collide.
If the speed of the trains is 25 km/h and that of the bird is 100km/h.
How much did the bird travel till the collision.
Ans: 100 kms.
250. Four prisoners escape from a prison.
The prisoners, Mr East, Mr West, Mr South, Mr North head towards different directions after escaping.The following information of their escape was supplied:
The escape routes were The North Road, South Road, East Road and West Road.
None of the prisoners took the road which was their namesake.
Mr.East did not take the South Road
Mr.West did not the South Road.
The West Road was not taken by Mr.East
What road did each of the prisoners take to make their escape?
Ans: Mr.East took the North Road
Mr.West took the East Road
Mr.North took the South Road
Mr.South took the West Road.
251. Complete the series:
5, 20, 24, 6, 2, 8, ?
Ans: 12 (as 5*4=20, 20+4=24, 24/4=6, 6-4=2, 2*4=8, 8+4=12).
252) A soldier looses his way in a thick jungle. At random he walks from his camp but mathematically in an interesting fashion. First he walks one mile East then half mile to North. Then 1/4 mile to West, then 1/8 mile to South and so on making a loop.
Finally how far he is from his camp and in which direction.
Ans: Distance travelled in north and south directions
1/2 - 1/8 + 1/32 - 1/128 + 1/512 - and so on
= 1/2/((1-(-1/4))
Similarly in east and west directions
1- 1/4 + 1/16 - 1/64 + 1/256 - and so on
= 1/(( 1- ( - 1/4))
Add both the answers
253) How can 1000000000 be written as a product of two factors neither of them containing zeros
Ans: 2 power 9 x 5 power 9
254) Conversation between two mathematcians:
First : I have three childern. The product of their ages is 36.
If you sum their ages, it is exactly same as my neighbour's door number on my left.
The second mathematician verfies the door number and says that it is not sufficient.
Then the first says " Ok one more clue is that my youngest is really the youngest". Immmediately the second mathematician answers . Can you answer the question asked by the first mathematician?
What are the childeren ages? Ans 1,6 and 6
255) Light glows for every 13 seconds . How many times did it glow between 1:57:58 and 3:20:47 am.
Ans : 383 + 1 = 384
256) 500 men are arranged in an array of 10 rows and 50 columns according to their heights.
Tallest among each row of all are asked to fall out.
And the shortest among them is A.
Similarly after resuming that to their original podsitions that the shortest among each column are asked to fall out.
And the tallest among them is B .
Now who is taller among A and B ?
Ans A
257) A person with some money spends1/3 for cloths, 1/5 of the remaining for food and 1/4 of the remaining for travel.
He is left with Rs 100/- . How much did he have with him in the begining ?
Ans: Rs 250/-
258) There are six boxes containing 5 , 7 , 14 , 16 , 18 , 29 balls of either red or blue in colour.
Some boxes contain only red balls and others contain only blue.One sales man sold one box
out of them and then he says " I have the same number of red balls left out as that of blue ".
Which box is the one he solds out ?
Ans: Total no of balls = 89 and (89-29 /2) = 60/2 = 30
and also 14 + 16 = 5 + 7 + 18 = 30
260) Grass in lawn grows equally thick and in a uniform rate.
It takes 24 days for 70 cows and 60 days for 30 cows to eat the whole of the grass.
How many cows are needed to eat the grass in 96 days.?
Ans : 20
g - grass at the beginning
r - rate at which grass grows, per day
y - rate at which one cow eats grass, per day
n - no of cows to eat the grass in 96 days
g + 24*r = 70 * 24 * y
g + 60*r = 30 * 60 * y
g + 96*r = n * 96 * y
Solving, n = 20.
261)There r some bees in a garden..1/5th of them went to a particular
flower,1/3rd went to another flower,3 times the difference of the
above two went to third flower..n one was remaining n it was roaming
around..how many bees were there? (3 marks)
Ans:15
262)there was a community in which there were 1000 couples.In that
2/3rd of men who r taller r also heavier n 3/4th of the men who r
heavier r also taller n there were 120 women who were both heavier n
taller than men.So how many men r both taller n heavier than men?
263)A man drives with constant speed..n he after some time he sees a
milestone with 2-digits..then he travels for an hr n sees the same 2
digits in reverse order..n then after an hr he sees that the
milestone has the same 2 digits with a 0 between them..so whats the
man speed?
Ans:45km/hr
264)There were 2 systems A n B.14 degrees in A is equivalent to 36 in
system B.and 133 in A is equivalent to 87 in B.now what is the
temperature where they both r equal?
Ans:51.25 (conversion A=(7/3)B-70)
265) X Y Z X Y Z
A B + A B -
------------ -------------
C D E F B G A
find X,Y,Z,G
266)A women buys some shoestrips n then 4 times of that she buys
packet pins n then 8 times of shoestrips she buys handkerchiefs..n
she has a bill of Rs3.24..n she pays for each article as many paise
as there r articles(of tht particular item).Now whats the number of
handkerchiefs?
Ans:16
267)Ms.Anitha got her salary n she spent half of it in shopping n gave
1RS to a beggar.After that 1/2 of the remaining money she spends in
a hotel n she gives Rs.2/- as a tip to waiter.n then 1/2 of the
remaining she spends again n she gives 3 RS as charity..n after that
finally she is left with Rs 1/- when she comes out.Whats the actual
money she had?
Rs 42/- (3 marks)
268. A person is cycling in a circular track.At some point he notices
that 1/5 of people in front of him and 5/6 of people together
condtitute the total no. of cyclists.Find the total no. of cyclists.
Ans:31
269.Trains leave from New York to Washington every hour on the
hour(1:00,2:00....).Trains leave from Washington to New York every
hour on the hour and half hour(1:00,1:30,2:0,2:30....).It takes a train 5
hrs to complete its journey from Washington to New York as well as
from new york to washington.A train leaves from new york to washington. Find
out how many trains it will meet before it reaches washington.
Ans:19 or 21(not sure).
270) A pen, pencil and eraser together cost $1.00. if 2E2P, and P>4E then what a single pen will cost?
271. In a class there are less than 500 students . when it is divided by 3 it gives a whole number. similarly when it is divided by 4,5 or 7 gives a whole number.find the no. of students in the class.
ans: 420
272. Uncle reuben and aunt cynthia came to town to shop reuben bought a suit and hat for $15
cynthia paid as much as for her hat as reuben did for his suit then she spent the rest of their
money for a new dress on the way home cynthia called reuben's attention to the fact that his hat
cost $1 more than her dress then she added if we had divided our hat money differently so that
we bought different hats mine costing 1 and 1/2 time cost if yours then we each would have spent
the same amount of money in that case said uncle reuben "how much would my hat have cost"
Ans : Uncles hat costs $6.4 (total money was $29)
273. Four family names are given and their frends name are given but not in order.( u hav to find
which frend belongs to which family) Each frend prepares salad using 3 different fruits . they are
given apple, cherry, grape, banana., no two frens uses the same combination.
Various conditions are given and 4 ques asked.
Which fruit did mandy didn't use?
Who is flures friend?
Name the fruits common btwn Erica and stacy?
274.Here is a simple mathematical puzzle set by Longfellow in his own flowery, poetical language.
If 1/5th of a hive of bees flew to the badamba flower, 1/3rd flew to the slandbara, 3 times the
difference of these two numbers flew to an arbour, ad one bee continued to fly about, attracted on each side by the fragrant ketaki and malati, what was the total number of bees?
Ans: 15
275. (don't remember the exact question)a man while sorting files picks up file number one,misses
one, picks up file no. 2,mises two files,and so on...after that he found that he picked up 5% of the
files. How many files were there?
Ans:39
276. A man walks at 4 km/hr on plain, then at 3 km/hr uphill and then returns through the same road at 6 km/hr downhill and at 4 km/hr on the plain. It takes altogether 6 hours. So what distance he covered in one way?
Ans: 12 km
Solution: Let plain road = x km
And hill road = y km
? x/4 + y/3 + y/6 + x/4 = 6
? x/2 + y/2 = 6
? x + y =12
277. There are some men and some lodges for which the
following conditions hold true –
i) Each lodge is represented by exactly 3 men .
ii) Each man is associated with exactly 2 lodges.
iii) Any pair of lodge has only one man in common.
How many men and how many lodges were there?
Ans: 6 men and 4 lodges.
Solution:
i) L1 is represented by M1, M2, M3. L2 is represented by M3, M4, M5. L3 is represented by M1, M4, M6. L4 is represented by M2, M5, M6.
ii) M1 is associated with L1,L3. M2 is associated with L1,L4. M3 is associated with L1,L2. M4 is associated with L2,L3. M5 is associated with L2,L4. M6 is associated with L3,L4.
iii) Common between L1 and L2 is only M3. Common between L1 and L3 is only M1. Common between L1 and L4 is only M2. Common between L2 and L3 is only M4. Common between L2 and L4 is only M5. Common between L3 and L4 is only M6.
i.e all the given conditions are satisfied.
278. A person sells 2 items for Rs. 12 each. For one he
profits 25% and for the other he losses 20%. Altogether did he loss or gain? And by how much?
Ans: He losses by 60 paise.
Solution: Cost price of the item for which he losses = Rs.
12*100/80 = Rs. 15.
Cost price of the item for which he Gains = Rs.
12*100/125 = Rs 9.6.
? Total cost price is Rs. 24.6 and total sell price is
Rs. 24.
So altogether he losses by Rs. 0.6.
279. My father’s age was x in the year x². I am obviously talking about 20th century. In which year was my father born?
Ans: In the year 1892.
Solution: x = 44 as 44² = 1936 and the square of any other
integer will not fall in between 1900 and 2000. i.e my
father was 44 in the year 1936. ? my father was
born in the year 1892.
280.A man was going by cycle. After going 2/3rd of total distance the cycle broke down and he had to complete the journey on foot. At the end he found that he walked twice as long as he was on cycle. How many times the speed of the cycle is as the speed of walking?
Ans: 4 times.
Solution: Let the distance be z km, speed of cycle be x km/hr
and walking speed be y km/hr.
Then he covered 2z/3 km by cycle in 2z/3x hr and
covered z/3 km on foot in z/3y hr.
? according to the question 2*2z/3x = z/3y ? x/y = 4.
281.In a badminton tournament a team is eliminated from the tournament if it losses 2 games. If there are 51 teams then what is the maximum number of games required to select the champion?
Ans: 101
Solution: To eliminate the 50 teams 50*2 = 100 games are
required. And the champion team may lose in at
most 1 game. ? Max. no. of games required = 101.
282. There are 3 tribes in a Island. Sororean who always speak truth, Nororean who always speak false and Midorean who speak truth and false alternately in either order. From the statements given by A,B and C (who belong to 3 different tribes), three persons from the island, identify who belongs to which tribe.
A : C is Sororean.
B is Midorean.
B : A is Nororean.
C is Midorean.
C : A is Midorean.
I am Sororean.
Ans:
A B C
Midorean Nororean Sororean
Solution: Think logically.
283. There are 5 persons A,B,C,D,E . All of them have different occupations and none of them are of same age. There professions are Consultant, Planner, Engineer, Nutritionist and Technician definitely not in the same order. From the following conditions determine whose profession is what?
i) The consultant is the oldest among them.
ii) The Technician is not younger than the Planner and the Planner is not younger than the Nutritionist.
iii) D is not as old as A and also not as young as B, who is not as old as the Engineer and also not as young as C.
iv) C is not the youngest among them.
Ans: Names are given in descending order of their ages.
Consultant Engineer Technician Planner Nutritionist
A D B C E
Solution: Think logically.
284. 4 persons, Watts, Roger, O’neil and Smith, were eating in a restaurant while Smith was killed by poisoning. During investigation the other 3 persons gave the following statements. They gave one false statement each.
Watts : i) I didn’t do it.
ii) O’neil sat beside me.
iii) We had our usual waiter.
Roger : i) Smith was across the table from me.
ii) We had a new waiter.
iii) The waiter didn’t do it.
O’neil : i) Roger didn’t do it.
ii) The waiter has poisoned Smith.
iii) Watts lied when he said that we had our usual
waiter.
One among these three persons and the waiter murdered Smith. Who is the murderer?
Ans : O’neil is the murderer.
Solution: Think logically.
I have given the false statements in red and italics.
285 There is a 4 inch cube painted on all sides. This is cut down into of 1 inch cubes. What is the no of
cubes which have no pointed sides.
Ans: 8 [(n-2)*(n-2)*(n-2)] where n is side length of the cube
286. Find the values of each of the alphabets.
N O O N
S O O N
+ M O O N
J U N E
Ans: 9326
287. If a clock takes 7seconds to strike 7, how long will the same clock take to strike 10?
Ans: The clock strikes for the first time at the start and takes 7 seconds for 6
intervals-thus for one interval time taken=7/6. Therefore, for 10 seconds there are 9 intervals and
time taken is 9*7/6=10 and 1/2 seconds.
288. Fifty minutes ago if it was four times as many
minutes past three o'clock, how many minutes is it to
six o'clock?
Ans: Twenty six minutes.
289. Everyday in his business a merchant had to weigh
amounts from 1 kg to 121kgs, to the nearest kg.
What are the minimum number of weight required
and how heavy should they be?
Ans: .The minimum number is 5 and they
should weigh 1,3,9,27 and 81kgs.
290. Ram, Shyam and Gumnaam are friends. Ram is a widower and lives alone and his sister
takes care of him. Shyam is a bachelor and his niece cooks his food
and looks after his house.Gumnaam is married to Gita and lives in large
house in the same town.Gita gives the idea that all of them could stay
together in the house and share monthly expensesequally.
During their first month of livingtogether, each person contributed Rs.25. At the end of
the month, it was found that Rs 92 was the expense sothe remaining amount was distributed equally among
everyone. The distribution was such that everyone received a whole number of Rupees. How much did each
person receive?Ans. Rs 2 (Hint: Ram's sister,Shyam's niece and Gumnaam's wife are the same person)
291. Sam and Mala have a conversation.
• Sam says I am certainly not over 40
• Mala says I am 38 and you are at least 5 years olderthan me
• Now Sam says you are at least 39
All the statements by the two are false. How old are they really?
Ans: Mala = 38 yrs, Sam = 41 yrs.
292. Grass in lawn grows equally thick and in a uniform rate. It takes 24 days for 70 cows and 60 days
for 30 cows to eat the whole of the grass. How many cows are needed to eat the grass in 96 days.?
Ans : 20
[Hint: g - grass at the beginning r -rate at which grass grows, per day y - rate at which
one cow eats grass, per day n - no of cows to eat the grass in 96 days
g + 24*r = 70 * 24* y g + 60*r= 30 * 60 * y g + 96*r = n * 96* y, Solving, n = 20. ]
293. Three criminals were arrested for shop lifting. However, when interrogated only one told the truth in
both his statements, while the other two each told one true statement and one lie. The statements were:
• ALBERT :(a) Chander passed the merchandise. (b)Bruce created the diversion.
• BRUCE :(a) Albert passed the merchandise. (b)I created the diversion.
• CLIVE :(a) I took the goods out of the shop. (b) Bruce passed them over.
Ans: Albert passed the goods. Bruce
created the diversion. Clive took the goods out of the
shop.
294. There N stations on a railroad. After adding X stations on the rail route 46 additional tickets have
to be printed. Find N and X.
Ans. x=2 and N=11 ( Let initially,N(N-1) = t; After adding, (N+X)(N+X-1) = t+46;Trail and error method )
295. Complete the Table given below:
Three football teams are there. Given below is
the group table. Fill in the x's
Played Won Lost Draw Goals For Goals Against
A 2 2 x x x 1
B 2 x x 1 2 4
C 2 x x x 3 7
Ans: The filled table is given below
Played Won Lost Draw Goals For Goals Against
A 2 2 0 0 7 1
B 2 0 1 1 2 4
C 2 0 1 1 3 7
297. Four prisoners escape from a prison. The prisoners, Mr. East, Mr. West, Mr. South, Mr. North
head towards different directions after escaping. The following information of their escape was supplied:
• The escape routes were The North Road, South Road,East Road and West Road.
• None of the prisoners took the road which was theirnamesake.
• Mr. East did not take the South Road
• Mr. West did not the South Road.
• The West Road was not taken by Mr. East
What road did each of the prisoners take to make
their escape?
Ans: Mr. East took the North Road
Mr. West took the East Road
Mr. North took the South Road
Mr. South took the West Road.
298. A hotel has two wings, the east wing and the west wing. Some east wing rooms but not all have an ocean
view.All west wing rooms have a harbor view. The charge for all rooms is identical, except as follows :
• Extra charge for all harbor view rooms on or above
the 3rd floor
• Extra charge for all ocean view rooms except those
without balcony
• Extra charge for some harbor rooms on the first two
floor & some east wing rooms without ocean view but
having kitchen facilities.
Which of the following cannot be determined on the
basis of the information given:
I. Whether there are any rooms without a
balcony for which an extra charge is imposed.
II. Whether any room without a kitchen or
a view involves an extra charge.
III. Whether two extra charges are imposed
for any room.
(A) I only (B) II only
(C) III only (D) II and III only
(E) I, II and III
Ans: (A)
299. A ship went on a voyage. After it had traveled 180 miles a plane started with 10 times the speed of the
ship. Find the distance when they meet from starting point.
Ans: 200miles. ( Distance traveled by plane = 1/10 distance traveled by ship + 180 )
Ans: 32.
202. In the 4 digits 1,2,3,4, how many 4 digited numbers are possible which are divisible by 4? Repeatations are allowed.
Ans: 64.
203. Two men are going along a track of rail in the opposite direction. One goods train crossed the first person in 20 sec. After 10 min the train crossed the other person who is comming in opposite direction in 18 sec. After the train has passed, when the two persons will meet?
Ans: Approx. 72 min, check it once.
204. The no. of children, adults. The no. of adults the no. of boys. The no. of boys no. of girls. The no. of girls no. of family. Conditions:-
1. No family is without a child.
2. Every girl has at least one brother and sister.
Ans: c > a > b > g > f; 9 6 5 4 3.
205. There are 4 boys - Anand, Anandya, Madan and Murali with nic-names perich, zomie, drummy and madeena not in the same order. Some conditions.
Ans: Anand : Perich
Anandya : Drummy
Madan : Zombie
Murali : Madeena
206. There are 2 diamonds, 1 spade and 1 club and 1 ace and also 1 king, 1 jack and 1 ace are arranged in a straight line.
1. The king is at third place.
2. The left of jack is a heart and its right is king.
3. No two red colours are in consecutive.
4. The queens are separated by two cards.
Write the order of which suits (hearts ,clubs)and names (jacks queens etc.) are aranged?
207. Write each statement as true or false.
8 Marks
1. The sum of the first three statements and the second false statement gives the true statement.
2. The no. of true statements > No. of false statements.
3. The sum of second true statement and first false statement gives the first true statement.
4. There are atmost 3 false statements.
5. There are no two consequtive true statements.
208. There are 3 piles each contains 10, 15, & 20 stones. There are A, B, C, D, F, G and H persons. One man can catch upto four stones from any pile. The last man who takes will win. If first A starts next B and so on, who will win?
Ans: May be F.
209. In a certain department store the position of Buyer, Cashier, Clerk, Floorwalkar & Manager are held, though not necessarily respectively, by Evans, Ames, Conroy, Davis amp; Buyer. The cashier & the manager were roommates in college. The Buyer is bachelor, Evans & Miss Ames have only business contacts with each other. Mrs. Conroy was greatly dosappointed when her husband told her that the manager had refuged to give him a raise. Davis is going to be the best man when the clerk & the cashier are married. What position does each person held?
210. In a four team foot-ball tournament, all the teams played each Other in three rounds of matches as shown in the Table - A. Some of The results of the tournament are shown in the
Table - B. Using the Clues given below, please fill in the blank columns in the result Table - B (Goals for & Goals Against?).
Note : Two points for win, one point for draw & zero points for defeat are awarded.
Clues :
1. East zone won the tournament despite scoring one less goal than the runners-up.
2. North zone scored an odd number of goals in their first round Game.
3. South zone, who failed to score in their final match, were beaten by a two-goal margin in the first round.
4. East zone lost their match aginst west zone.
5. All four teams scored goals in the second round matches.
6. West zone scored the same number of goals against east zone as North zone scored aginst them.
211. East zone scored four goals in round two match.
Table - A (Matches Played)
Round 1
North zone vs South zone
West zone vs east zone.
Round 2
South zone vs West zone
East zone vs North zone
Round 3
South zone vs East zone
West zone vs North zone.
Table - B (Results)
Played Won Draw Lost Golas For Goals Against Points
East Zone 3 - - - ? 3 4
North Zone 3 - - - ? ? 4
West Zone 3 - - - 4 3 3
South Zone 3 - - - 2 5 1
212. In certain community, there are thousand married couples. Two thirds of the husbands who are taller than their wives are also heavier and three quarters of the husbands who are heavier than their wives are also taller. If there are 120 wives who are taller and heavier than their husbands, how many husbands are taller and heavier than their wives?
213. Both the Guptas and Sinhas have two young sons, whose ages are under Eleven. The names of the boys, whose ages rounded off to the nearest year are all different, are Rajesh, Praveen, Lalith and Prathap. Taking the ages of the boys only to the nearest year, the following statements are true:-
Rajesh is three years younger than his brother is.
Praveen is the oldest.
Prathap is 5 years older than the younger Sinha's boy.
Lalith is half as old as one of the Guptha's boys.
The total ages of the boys in each family differ by the same amount today as they did five years ago.
214. A long Division Problem:-
xx)xxxxxxxxx(xxxxxxx
xx
------
xxx
xx
------
xxx
xx
-------
xx
xx
-------
xxx
xxx
-------
-------
In the complete solution, there are four 5's. Find the missing digits.
215. Following services are operated by Asian airlines between the two are located in different countries with different time zones. As it is normally done, the time shown is the local time - viz IST & TST.
Regular Flight Supersonic Flight
Arrive Alexandria 17:10 TST 15:40 TST
Depart Alexandria 20:50 TST 22:50 TST
Arrived Rampur 23:40 IST
Is the arrival time of supersonic flight into Rampur from Alexandria same as the Arrival time of the Regular flight, assuming each Service - Regular and Supersonic maintains its own constant speed of flight.
216) A, B, C, D, E related. Four of them made these statements each:-
i) C is my son-in-law's brother.
ii) B is my father's brother.
iii) E is my mother-in-law.
iv) A is my brother's wife.
Who made these statements?
217) A ship is away from the shore by 180 miles. A plane is travelling at 10 times speed of the ship. How long from the shore will they meet?
218) A clock showing 6 o'clock takes 30 secs to strike 6 times. How long will it take to strike 12 at midnight?
Ans: 66 seconds.
219) Only boys aged > 16 wear coats. Boys aged > 15 go to watch football. Some more statements are given. What can be said about those who are watching football?
220) There are 3 societies A, B amp; C having some tractors each. A Gives B and C as many tractors as they already have. After some days B gives A and C as many tractors as they have. After some days C gives A and B as many tractors as they have. Finally each has 24 tractors. What is the original No.of tractors each had in the beginning?
Ans: A - 39. B - 21. C - 12.
221. BE * BE = ACB.
A, B, C, E are non zero numbers. Find B, E.
Ans: B=1 E=9.
222. A, B, C, D, E are having numerical values. There are some conditions given:-
a) A=C <===> B!=E
b) Difference between A and C as same as difference between C and B as same as difference between A and D.
c) C < A and C > D,
Then Find A, B, C, D, E.
223. There are six cards, in which, it has two king cards. All cards are turned down and two cards are opened.
a) What is the possibility to get at least one king?
b) What is the possibility to get two kings?
224. A person went to a shop and asked for change for 1.15 paise, but he said that he could not only give change for one rupee but also for 50p, 25p, 10p and 5p. What were the coins he had?
Ans: 1-->50p 4--->10p 1--->25p.
225. There are 3 nurses and they work altogether only once in a week. No nurse is called to work for 3 consecutive days.
Nurse 1 is off on tueseday, thursday and sunday. Nurse 2 is off on saturday. Nurse 3 is off on thursday, sunday.
No two nurses are off more than once a week. Find the day on which all the 3 nurses were on work.
226. There are 5 persons A, B, C, D, E and each is wearing a block or white cap on his head. A person can see the caps of the remaining 4 but can't see his own cap. A person wearing white says true and who wears black says false.
i) A says I see 3 whites and 1 black.
ii) B says I see 4 blacks.
iii) E says I see 4 whites.
iv) C says I see 3 blacks and 1 white.
Now Find the caps weared by A, B, C, D and E.
227. There are two women, Kavitha and Shamili and two males Shyam and Aravind, who are musicians. Out of these four one is a Pianist, one Flutist, Violinist and Drummer.
i) Across Aravind beats Pianist.
ii) Across Shyam is not a Flutist.
iii) Kavitha's left is a Pianist.
iv) Shamili's left is not a Drummer.
v> Flutist and Drummer are married.
228. 1/3 rd of the contents of a container evaporated on the 1st day. 3/4 th of the remaining contents of the container evaporated the second day. What part of the contents of the container are left at the end of the second day?
229. A man covered 28 steps in 30 seconds but he decided to move fast and covered 34 steps in 18 seconds. How many steps are there on the escalator when stationary?
1. Person1: Most of us are satch J.
Person2: Most of us are jute S.
Person3: Two of us are satch J.
Person4: Three of us are jute J.
Person5: I am satch J we have to find who is satch and who is jute.
Ans: S: Satch J:Jute.
2. Four persons are there to cross a bridge they have one torch light.
Person A can cross in 1 min.
Person B can cross in 2 min.
Person C can cross in 5 min.
Person D can cross in 10 min.
They have to cross bridge with in 17 min. At a time only two persons can cross.
I. A & B ----> 2.
II. A <---- 1.
III. C & D ----> 10.
IV. B <---- 2.
V A & B ----> 2
______________
Total 17.
230. What is the maximum number of slices can you obtain by cutting a cake with only 4 cuts?
Ans: 16.
231. Three are three boxes. In first box, two white balls. In second box, 2 black balls. In third box, 1 white & 1 black ball. The lables on the boxes are not correct. Then you have to open one box and to find the colour of the balls in all boxes.
Ans: Open the box labled black & white. If white balls are there then the box labled with white balls contain black balls and labled with black balls contain one black and one white ball and vice versa, if two black balls are there.
232. There is a 4 inch cube painted on all sides. This is cut into number of 1 inch cubes. What is the number of cubes which have no painted sides?
233. Sam and Mala have a conversation. Sam says I am certainly not over 40. Mala says I am 38 and you are atleast 5 years older than me. Now Sam says you are atleast 39. All the statements by the two are false. How old are they realy?
234. Ram singh goes to his office in the city every day from his suburban house. His driver Mangaram drops him at the railway station in the morning and picks him up in the evening. Every evening Ram singh reaches the station at 5 o'clock. Mangaram also reaches at the same time. One day Ram singh started early from his office and came to the station at 4 o'clock. Not wanting to wait for the car he starts walking home. Mangaram starts at normal time, picks him up on the way and takes him back house, half an hour early. How much time did Ram singh walked?
235. Some people went for vaction. Unfortunately it rained for 13 days when they were there. But whenever it rained in the morning, they had clean afternood and vice versa. In all they enjoyed 11 morning and 12 afternoons. How many days did they stay there totally?
236. Geoffrey, Hallmann and Molly attend and interview and give three different statements each.
To make it a little complex. Out of the three statements made by each one, one is false.
Geoffrey says: I am 22 - false
Hallmann is elder than me by one year.
Molly is 25
Hallmann says: I am not the youngest -
Geoffrey is 2 years younger than me
Molly is younger than me by one year - false
Molly says: Geoffrey is 23
I am a year younger than Geoffrey
(I don't remember this statement but it is false.)
Answer:
Goeffrey is 22 as Goef states,
And Goef== 23 as Molly states.
Both cannot be true.
Either one has to be true or either one has to be false.
Start deriving from this point and u get,
Geoffrey Hallmann Molly
Age: 23 25 22
237. There is a cube, which has to be inscribed with the following pair
of numbers on opposite sides.1 and 6, 2 and 4,3 and 5.
How many different ways can it be done?
238. There's an electric wire running 1 km from the side of a building.
The number of poles in between them is placed in an interval of
distance between each other.
If one pole is removed then the distance between each pole becomes 1 2/3 meters.
Find out how many poles were kept.
239. The time taken to travel in train from Town A to Town B is 5 hours.
There are trains starting from both towns at an interval of 1 hour.
How many trains meet in 1 trip?
Ans : 10 trains check it as trains come from both sides every hour.
240. Shadow went to an Isle where the natives lie and the visitors speak truth.
Shadow saw a salesman and wanted to know whether he was a native or a visitor.
He did not pose a question directly but asked him indirect instead.
Shadow saw a woman and asked the salesman,"Is that a NATIVE or
VISITOR?" .For which the salesman replied," She is a visitor".
Is the salesman a Native or a Visitor?
Ans :
Since Shadow himself saw him/her as a woman and asked the salesman.
The Salesman replied ,"SHE " by which he speaks truth and is a Visitor.
Salesman is a Visitor.
241. Three friends divided some bullets equally.
After all of them shot 4 bullets the total number of bullets remaining is equal to the bullets each had after division.Find the original number divided.
Ans: 18 (2 marks)
Initially . x x x
Now x-4 x-4 x-4
Equation is 3x-12 = x
242. There are 3 societies A, B, C.
A lent cars to B and C as many as they had already.
After some time B gave as many tractors to A and C as many as they have.
After sometime c did the same thing. At the end of this transaction each one of them had 24.
Find the cars each orginally had.
Ans: A had 39 cars, B had 21 cars & C had 12 cars
243. The Bulls, Pacers, Lakers and Jazz ran for a contest.
Anup, Sujit, John made the following statements regarding results.
Anup said either Bulls or Jazz will definitely win
Sujit said he is confident that Bulls will not win
John said he is confident that neither Jazz nor Lakers will win
When the result cameit was found that only one of the above three had made a correct statement.
Who has made the correct statement and who has won the contest.
Ans: Sujith; Lakers
244. Five people A ,B ,C ,D ,E are related to each other.
Four of them make one true statement each as follows.
(i) B is my father's brother.
(ii) E is my mother-in-law.
(iii)C is my son-in-law's brother
(iv)A is my brother's wife.
Ans: (i) D (ii) B (iii) E (iv) C
245. Some statements are given below:
L says all of my other four friends have money
M says that P said that exactly one among them has money
N says that L said that precisely two among them have money
O says that M said that three of the others have money
P, L and N said that they have money
All the above statement are false..
Who has money & who doesn't have any money?
246. Fifty minutes ago if it was four times as many minutes past three o'clock,how many minutes is it to six o'clock?
Ans: Twenty six minutes.
247. A hotel has 10 storeys.Which floor is above the floor below the floor, below the floor above the floor, below the floor above the fifth.
Ans: The sixth floor.
248. Seven members sat around a table for three days for a conference.
The member's names were Abhishek, Amol, Ankur, Anurag,Bhuwan ,Vasu and Vikram.
The meetings were chaired by Vikram.
On the first evening members sat around the table alphabetically.
On the following two nights, Vikram arranged the seatings so that he could have Abhishek as near to him as possible and abesent minded Vasu as far away as he could.http://www.ChetanaS.com
On no evening did any person have sitting next to him a person who had previously been his neighbour. How did Vikram manage to seat everybody to the best advantage on the second and third evenings?
Ans:
Second evening:Vikram,Ankur,Abhishek,Amol,Vasu,Anurag and Bhuwan.
Third evening :Vikram,Anurag,Abhishek,Vasu,Bhuwan,Ankur,Amol.
249. Two trains start from stations A and B spaced 50 kms apart at the same time and speed.
As the trains start, a bird flies from one train towards the other and on reaching the second train, it flies back to the
first train.This is repeated till the trains collide.
If the speed of the trains is 25 km/h and that of the bird is 100km/h.
How much did the bird travel till the collision.
Ans: 100 kms.
250. Four prisoners escape from a prison.
The prisoners, Mr East, Mr West, Mr South, Mr North head towards different directions after escaping.The following information of their escape was supplied:
The escape routes were The North Road, South Road, East Road and West Road.
None of the prisoners took the road which was their namesake.
Mr.East did not take the South Road
Mr.West did not the South Road.
The West Road was not taken by Mr.East
What road did each of the prisoners take to make their escape?
Ans: Mr.East took the North Road
Mr.West took the East Road
Mr.North took the South Road
Mr.South took the West Road.
251. Complete the series:
5, 20, 24, 6, 2, 8, ?
Ans: 12 (as 5*4=20, 20+4=24, 24/4=6, 6-4=2, 2*4=8, 8+4=12).
252) A soldier looses his way in a thick jungle. At random he walks from his camp but mathematically in an interesting fashion. First he walks one mile East then half mile to North. Then 1/4 mile to West, then 1/8 mile to South and so on making a loop.
Finally how far he is from his camp and in which direction.
Ans: Distance travelled in north and south directions
1/2 - 1/8 + 1/32 - 1/128 + 1/512 - and so on
= 1/2/((1-(-1/4))
Similarly in east and west directions
1- 1/4 + 1/16 - 1/64 + 1/256 - and so on
= 1/(( 1- ( - 1/4))
Add both the answers
253) How can 1000000000 be written as a product of two factors neither of them containing zeros
Ans: 2 power 9 x 5 power 9
254) Conversation between two mathematcians:
First : I have three childern. The product of their ages is 36.
If you sum their ages, it is exactly same as my neighbour's door number on my left.
The second mathematician verfies the door number and says that it is not sufficient.
Then the first says " Ok one more clue is that my youngest is really the youngest". Immmediately the second mathematician answers . Can you answer the question asked by the first mathematician?
What are the childeren ages? Ans 1,6 and 6
255) Light glows for every 13 seconds . How many times did it glow between 1:57:58 and 3:20:47 am.
Ans : 383 + 1 = 384
256) 500 men are arranged in an array of 10 rows and 50 columns according to their heights.
Tallest among each row of all are asked to fall out.
And the shortest among them is A.
Similarly after resuming that to their original podsitions that the shortest among each column are asked to fall out.
And the tallest among them is B .
Now who is taller among A and B ?
Ans A
257) A person with some money spends1/3 for cloths, 1/5 of the remaining for food and 1/4 of the remaining for travel.
He is left with Rs 100/- . How much did he have with him in the begining ?
Ans: Rs 250/-
258) There are six boxes containing 5 , 7 , 14 , 16 , 18 , 29 balls of either red or blue in colour.
Some boxes contain only red balls and others contain only blue.One sales man sold one box
out of them and then he says " I have the same number of red balls left out as that of blue ".
Which box is the one he solds out ?
Ans: Total no of balls = 89 and (89-29 /2) = 60/2 = 30
and also 14 + 16 = 5 + 7 + 18 = 30
260) Grass in lawn grows equally thick and in a uniform rate.
It takes 24 days for 70 cows and 60 days for 30 cows to eat the whole of the grass.
How many cows are needed to eat the grass in 96 days.?
Ans : 20
g - grass at the beginning
r - rate at which grass grows, per day
y - rate at which one cow eats grass, per day
n - no of cows to eat the grass in 96 days
g + 24*r = 70 * 24 * y
g + 60*r = 30 * 60 * y
g + 96*r = n * 96 * y
Solving, n = 20.
261)There r some bees in a garden..1/5th of them went to a particular
flower,1/3rd went to another flower,3 times the difference of the
above two went to third flower..n one was remaining n it was roaming
around..how many bees were there? (3 marks)
Ans:15
262)there was a community in which there were 1000 couples.In that
2/3rd of men who r taller r also heavier n 3/4th of the men who r
heavier r also taller n there were 120 women who were both heavier n
taller than men.So how many men r both taller n heavier than men?
263)A man drives with constant speed..n he after some time he sees a
milestone with 2-digits..then he travels for an hr n sees the same 2
digits in reverse order..n then after an hr he sees that the
milestone has the same 2 digits with a 0 between them..so whats the
man speed?
Ans:45km/hr
264)There were 2 systems A n B.14 degrees in A is equivalent to 36 in
system B.and 133 in A is equivalent to 87 in B.now what is the
temperature where they both r equal?
Ans:51.25 (conversion A=(7/3)B-70)
265) X Y Z X Y Z
A B + A B -
------------ -------------
C D E F B G A
find X,Y,Z,G
266)A women buys some shoestrips n then 4 times of that she buys
packet pins n then 8 times of shoestrips she buys handkerchiefs..n
she has a bill of Rs3.24..n she pays for each article as many paise
as there r articles(of tht particular item).Now whats the number of
handkerchiefs?
Ans:16
267)Ms.Anitha got her salary n she spent half of it in shopping n gave
1RS to a beggar.After that 1/2 of the remaining money she spends in
a hotel n she gives Rs.2/- as a tip to waiter.n then 1/2 of the
remaining she spends again n she gives 3 RS as charity..n after that
finally she is left with Rs 1/- when she comes out.Whats the actual
money she had?
Rs 42/- (3 marks)
268. A person is cycling in a circular track.At some point he notices
that 1/5 of people in front of him and 5/6 of people together
condtitute the total no. of cyclists.Find the total no. of cyclists.
Ans:31
269.Trains leave from New York to Washington every hour on the
hour(1:00,2:00....).Trains leave from Washington to New York every
hour on the hour and half hour(1:00,1:30,2:0,2:30....).It takes a train 5
hrs to complete its journey from Washington to New York as well as
from new york to washington.A train leaves from new york to washington. Find
out how many trains it will meet before it reaches washington.
Ans:19 or 21(not sure).
270) A pen, pencil and eraser together cost $1.00. if 2E2P, and P>4E then what a single pen will cost?
271. In a class there are less than 500 students . when it is divided by 3 it gives a whole number. similarly when it is divided by 4,5 or 7 gives a whole number.find the no. of students in the class.
ans: 420
272. Uncle reuben and aunt cynthia came to town to shop reuben bought a suit and hat for $15
cynthia paid as much as for her hat as reuben did for his suit then she spent the rest of their
money for a new dress on the way home cynthia called reuben's attention to the fact that his hat
cost $1 more than her dress then she added if we had divided our hat money differently so that
we bought different hats mine costing 1 and 1/2 time cost if yours then we each would have spent
the same amount of money in that case said uncle reuben "how much would my hat have cost"
Ans : Uncles hat costs $6.4 (total money was $29)
273. Four family names are given and their frends name are given but not in order.( u hav to find
which frend belongs to which family) Each frend prepares salad using 3 different fruits . they are
given apple, cherry, grape, banana., no two frens uses the same combination.
Various conditions are given and 4 ques asked.
Which fruit did mandy didn't use?
Who is flures friend?
Name the fruits common btwn Erica and stacy?
274.Here is a simple mathematical puzzle set by Longfellow in his own flowery, poetical language.
If 1/5th of a hive of bees flew to the badamba flower, 1/3rd flew to the slandbara, 3 times the
difference of these two numbers flew to an arbour, ad one bee continued to fly about, attracted on each side by the fragrant ketaki and malati, what was the total number of bees?
Ans: 15
275. (don't remember the exact question)a man while sorting files picks up file number one,misses
one, picks up file no. 2,mises two files,and so on...after that he found that he picked up 5% of the
files. How many files were there?
Ans:39
276. A man walks at 4 km/hr on plain, then at 3 km/hr uphill and then returns through the same road at 6 km/hr downhill and at 4 km/hr on the plain. It takes altogether 6 hours. So what distance he covered in one way?
Ans: 12 km
Solution: Let plain road = x km
And hill road = y km
? x/4 + y/3 + y/6 + x/4 = 6
? x/2 + y/2 = 6
? x + y =12
277. There are some men and some lodges for which the
following conditions hold true –
i) Each lodge is represented by exactly 3 men .
ii) Each man is associated with exactly 2 lodges.
iii) Any pair of lodge has only one man in common.
How many men and how many lodges were there?
Ans: 6 men and 4 lodges.
Solution:
i) L1 is represented by M1, M2, M3. L2 is represented by M3, M4, M5. L3 is represented by M1, M4, M6. L4 is represented by M2, M5, M6.
ii) M1 is associated with L1,L3. M2 is associated with L1,L4. M3 is associated with L1,L2. M4 is associated with L2,L3. M5 is associated with L2,L4. M6 is associated with L3,L4.
iii) Common between L1 and L2 is only M3. Common between L1 and L3 is only M1. Common between L1 and L4 is only M2. Common between L2 and L3 is only M4. Common between L2 and L4 is only M5. Common between L3 and L4 is only M6.
i.e all the given conditions are satisfied.
278. A person sells 2 items for Rs. 12 each. For one he
profits 25% and for the other he losses 20%. Altogether did he loss or gain? And by how much?
Ans: He losses by 60 paise.
Solution: Cost price of the item for which he losses = Rs.
12*100/80 = Rs. 15.
Cost price of the item for which he Gains = Rs.
12*100/125 = Rs 9.6.
? Total cost price is Rs. 24.6 and total sell price is
Rs. 24.
So altogether he losses by Rs. 0.6.
279. My father’s age was x in the year x². I am obviously talking about 20th century. In which year was my father born?
Ans: In the year 1892.
Solution: x = 44 as 44² = 1936 and the square of any other
integer will not fall in between 1900 and 2000. i.e my
father was 44 in the year 1936. ? my father was
born in the year 1892.
280.A man was going by cycle. After going 2/3rd of total distance the cycle broke down and he had to complete the journey on foot. At the end he found that he walked twice as long as he was on cycle. How many times the speed of the cycle is as the speed of walking?
Ans: 4 times.
Solution: Let the distance be z km, speed of cycle be x km/hr
and walking speed be y km/hr.
Then he covered 2z/3 km by cycle in 2z/3x hr and
covered z/3 km on foot in z/3y hr.
? according to the question 2*2z/3x = z/3y ? x/y = 4.
281.In a badminton tournament a team is eliminated from the tournament if it losses 2 games. If there are 51 teams then what is the maximum number of games required to select the champion?
Ans: 101
Solution: To eliminate the 50 teams 50*2 = 100 games are
required. And the champion team may lose in at
most 1 game. ? Max. no. of games required = 101.
282. There are 3 tribes in a Island. Sororean who always speak truth, Nororean who always speak false and Midorean who speak truth and false alternately in either order. From the statements given by A,B and C (who belong to 3 different tribes), three persons from the island, identify who belongs to which tribe.
A : C is Sororean.
B is Midorean.
B : A is Nororean.
C is Midorean.
C : A is Midorean.
I am Sororean.
Ans:
A B C
Midorean Nororean Sororean
Solution: Think logically.
283. There are 5 persons A,B,C,D,E . All of them have different occupations and none of them are of same age. There professions are Consultant, Planner, Engineer, Nutritionist and Technician definitely not in the same order. From the following conditions determine whose profession is what?
i) The consultant is the oldest among them.
ii) The Technician is not younger than the Planner and the Planner is not younger than the Nutritionist.
iii) D is not as old as A and also not as young as B, who is not as old as the Engineer and also not as young as C.
iv) C is not the youngest among them.
Ans: Names are given in descending order of their ages.
Consultant Engineer Technician Planner Nutritionist
A D B C E
Solution: Think logically.
284. 4 persons, Watts, Roger, O’neil and Smith, were eating in a restaurant while Smith was killed by poisoning. During investigation the other 3 persons gave the following statements. They gave one false statement each.
Watts : i) I didn’t do it.
ii) O’neil sat beside me.
iii) We had our usual waiter.
Roger : i) Smith was across the table from me.
ii) We had a new waiter.
iii) The waiter didn’t do it.
O’neil : i) Roger didn’t do it.
ii) The waiter has poisoned Smith.
iii) Watts lied when he said that we had our usual
waiter.
One among these three persons and the waiter murdered Smith. Who is the murderer?
Ans : O’neil is the murderer.
Solution: Think logically.
I have given the false statements in red and italics.
285 There is a 4 inch cube painted on all sides. This is cut down into of 1 inch cubes. What is the no of
cubes which have no pointed sides.
Ans: 8 [(n-2)*(n-2)*(n-2)] where n is side length of the cube
286. Find the values of each of the alphabets.
N O O N
S O O N
+ M O O N
J U N E
Ans: 9326
287. If a clock takes 7seconds to strike 7, how long will the same clock take to strike 10?
Ans: The clock strikes for the first time at the start and takes 7 seconds for 6
intervals-thus for one interval time taken=7/6. Therefore, for 10 seconds there are 9 intervals and
time taken is 9*7/6=10 and 1/2 seconds.
288. Fifty minutes ago if it was four times as many
minutes past three o'clock, how many minutes is it to
six o'clock?
Ans: Twenty six minutes.
289. Everyday in his business a merchant had to weigh
amounts from 1 kg to 121kgs, to the nearest kg.
What are the minimum number of weight required
and how heavy should they be?
Ans: .The minimum number is 5 and they
should weigh 1,3,9,27 and 81kgs.
290. Ram, Shyam and Gumnaam are friends. Ram is a widower and lives alone and his sister
takes care of him. Shyam is a bachelor and his niece cooks his food
and looks after his house.Gumnaam is married to Gita and lives in large
house in the same town.Gita gives the idea that all of them could stay
together in the house and share monthly expensesequally.
During their first month of livingtogether, each person contributed Rs.25. At the end of
the month, it was found that Rs 92 was the expense sothe remaining amount was distributed equally among
everyone. The distribution was such that everyone received a whole number of Rupees. How much did each
person receive?Ans. Rs 2 (Hint: Ram's sister,Shyam's niece and Gumnaam's wife are the same person)
291. Sam and Mala have a conversation.
• Sam says I am certainly not over 40
• Mala says I am 38 and you are at least 5 years olderthan me
• Now Sam says you are at least 39
All the statements by the two are false. How old are they really?
Ans: Mala = 38 yrs, Sam = 41 yrs.
292. Grass in lawn grows equally thick and in a uniform rate. It takes 24 days for 70 cows and 60 days
for 30 cows to eat the whole of the grass. How many cows are needed to eat the grass in 96 days.?
Ans : 20
[Hint: g - grass at the beginning r -rate at which grass grows, per day y - rate at which
one cow eats grass, per day n - no of cows to eat the grass in 96 days
g + 24*r = 70 * 24* y g + 60*r= 30 * 60 * y g + 96*r = n * 96* y, Solving, n = 20. ]
293. Three criminals were arrested for shop lifting. However, when interrogated only one told the truth in
both his statements, while the other two each told one true statement and one lie. The statements were:
• ALBERT :(a) Chander passed the merchandise. (b)Bruce created the diversion.
• BRUCE :(a) Albert passed the merchandise. (b)I created the diversion.
• CLIVE :(a) I took the goods out of the shop. (b) Bruce passed them over.
Ans: Albert passed the goods. Bruce
created the diversion. Clive took the goods out of the
shop.
294. There N stations on a railroad. After adding X stations on the rail route 46 additional tickets have
to be printed. Find N and X.
Ans. x=2 and N=11 ( Let initially,N(N-1) = t; After adding, (N+X)(N+X-1) = t+46;Trail and error method )
295. Complete the Table given below:
Three football teams are there. Given below is
the group table. Fill in the x's
Played Won Lost Draw Goals For Goals Against
A 2 2 x x x 1
B 2 x x 1 2 4
C 2 x x x 3 7
Ans: The filled table is given below
Played Won Lost Draw Goals For Goals Against
A 2 2 0 0 7 1
B 2 0 1 1 2 4
C 2 0 1 1 3 7
297. Four prisoners escape from a prison. The prisoners, Mr. East, Mr. West, Mr. South, Mr. North
head towards different directions after escaping. The following information of their escape was supplied:
• The escape routes were The North Road, South Road,East Road and West Road.
• None of the prisoners took the road which was theirnamesake.
• Mr. East did not take the South Road
• Mr. West did not the South Road.
• The West Road was not taken by Mr. East
What road did each of the prisoners take to make
their escape?
Ans: Mr. East took the North Road
Mr. West took the East Road
Mr. North took the South Road
Mr. South took the West Road.
298. A hotel has two wings, the east wing and the west wing. Some east wing rooms but not all have an ocean
view.All west wing rooms have a harbor view. The charge for all rooms is identical, except as follows :
• Extra charge for all harbor view rooms on or above
the 3rd floor
• Extra charge for all ocean view rooms except those
without balcony
• Extra charge for some harbor rooms on the first two
floor & some east wing rooms without ocean view but
having kitchen facilities.
Which of the following cannot be determined on the
basis of the information given:
I. Whether there are any rooms without a
balcony for which an extra charge is imposed.
II. Whether any room without a kitchen or
a view involves an extra charge.
III. Whether two extra charges are imposed
for any room.
(A) I only (B) II only
(C) III only (D) II and III only
(E) I, II and III
Ans: (A)
299. A ship went on a voyage. After it had traveled 180 miles a plane started with 10 times the speed of the
ship. Find the distance when they meet from starting point.
Ans: 200miles. ( Distance traveled by plane = 1/10 distance traveled by ship + 180 )
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