TCS 2013 pattern

lled in one and half hours when 16 men work together? Some sample TCS questions in GCE, Aurangabad:

1.there are 4 exactly Sunday and 4 Thursday in the month of 31 days.so find the 1st day of tht month.

2.sum of 2 no is 50 and sum of there reciprocal is 1/12. So find these number.

3 there was 1 Q based on critical reasoning.

4. I had 6/7 Q on time and work,time and distance, probability, ages. But don’t remember it nw.

5. I don’t remember the exact value. But the Q was-

Wht should be added in  6440 that is when divided by 460 gives reminder 35.

Arun was all bent on building a new house. He carefully got the blue print of his house designed buy his friend Ashwin, a civil engineer. He wanted to build a room of dimension 27 by 48 ft and lay tiles in this room. Each tile was of dimension 2 by 3 ft. How many tiles should Arun buy?
   216

•             Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age? a.2 b.5/2 c.3/2 d.1Ans A)2 times.

Some sample TCS questions in SRM,Chennai:

1.f(n) is a function...where f(f(n))+f(n)=2n+3.

 f(n)=0;find f(2012)

 2.one man can do fill the truck in 9 min; how many truck can be fi

 3.what is the probability of throwing 3 dices to get a sum of 10?

 4.wat s 1st of jan.. when it has 4 thursdays and 4 sundays in that month?

 5.in six yrs, raj father's age is twice raj's age. before 2 yrs raj mother's age is twice as raj's age. raj age is 25 years ... 3 yrs from now.. wat is sum of raj's parents age?

 6.1-2,2-3,3-4,....-98+99=?

Face Materials for new tcs patterns

1) The water from one outlet, flowing at a constant rate, can fill the swimming pool in 9 hours. The water from second outlet, flowing at a constant rate can fill up the same pool in approximately in 5 hours. If both the outlets are used at the same time, approximately what is the number of hours required to fill the pool?

ans: (1/A) + (1/B) = 1/T

 So when you solved, and got 14/45, that was equal to 1/T. To find T, you need to take the reciprocal; T = 45/14,

 (3.21)

2) If 75 % of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percentage answered both correctly?

ans: n(a ^ b) =n(a)+n(b)-n(a v b)

 = 0.75+0.55-0.8

 = 0.5

 (50%)

3) A student's average ( arithmetic mean) test score on 4 tests is 78. What must be the students score on a 5th test for the students average score on the 5th test to be 80?

ans: 4 tests sum=78*4=312

 5 tests sum=80*5=400

 then 5th test score=400-312=88

 (88)

4) Rural households have more purchasing power than do urban households at the same income level, since some of the income urban and suburban households use for food and shelter can be used by the rural households for other needs. Which of the following inferences is best supported by the statement made above?

 (A) The average rural household includes more people than does the average urban or suburban household.

 (B) Rural households have lower food and housing costs than do either urban or suburban households.

 (C) Suburban households generally have more purchasing power than do either rural or urban households.

 (D) The median income of urban and suburban households is generally higher than that of rural households.

 (E) All three types of households spend more of their income on housing than on all other purchases combined.

ans: B

5) Jose is a student of horticulture in the University of Hose. In a horticultural experiment in his final year, 200 seeds were planted in plot I and 300 were planted in plot II. If 57% of the seeds in plot I germinated and 42% of the seeds in plot II germinated, what percent of the total number of planted seeds germinated?

ans: 200 * 57 % = 114 and 300* 42% = 126.

 Total = 240 out of 500.

 (48%).

6) A closed cylindrical tank contains 36 pie cubic feet of water and its filled to half its capacity. When the tank is placed upright on its circular base on level ground, the height of water in the tank is 4 feet. When the tank is placed on its side on level ground, what is the height, in feet, of the surface of the water above the ground?

ans: What given Volume = 36

 Height = 4ft

 Volume = Pi* r2 * h

 36 = Pi*r2 * 4

 r2 =9

 r = 3

 So the radius is 3 which means the diameter is 6.

7) The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of the teachers would then be 25 to 1 What is the present number of teachers?

ans: 30/1 = s/t Current student to teacher ratio

 s+50/t+5 = 25/1 Future student to teacher ratio

 solving the first equation first equation for s gives s = 30t.

 Substitute this value of s into the second equation, and solve for t.

 s+50/t+5 = 25/1

 30t + 50 = 25t + 125 multiply both sides by t+5

 5t = 75 simplify by subtraction

 t = 15

 (15)

8) College T has 1000 students. Of the 200 students majoring in one or more of the sciences,130 are majoring in Chemistry and 150 are majoring in Biology. If at least 30 of the students are not majoring in either Chemistry or Biology, then the number of students majoring in both Chemistry and Biology could be any number from

ans: total=200

 neither>=30

 chemistry=130

 bio=130

 maximum common=minimum of the two=130

 if neither=30

 then common=150+130+30-200=110

 range is 110-130

9) Kelly and Chris are moving into a new city. Both of them love books and thus packed several boxes with books. If Chris packed 60% of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number of boxes Chris packed?

ans: 100-60=40

 40:60=2:3

10) A drug that is highly effective in treating many types of infection can, at present, be obtained only from the bark of the ibora, a tree that is quite rare in the wild. It takes the bark of 5,000 trees to make one kilogram of the drug. It follows, therefore, that continued production of the drug must inevitably lead to the ibora's extinction. Which of the following, if true, most seriously weakens the argument above?

ans: The ibora can be propagated from cuttings and grown under cultivation.

11) Machine A produces bolts at a uniform rate of 120 every 40 second, and Machine B produces bolts at a uniform rate of 100 every 20 seconds. If the two machines run simultaneously, how many seconds will it take for them to produce a total of 200 bolts?

ans: Machine A produces 120/40 = 3 bolts in 1 seconds and machine B produces 100/20 = 5 bolts in one second.

 Hence, both of them will produce 8 bolts per second.

 Hence, they wil take 200/8 = 25 seconds to produce 200 bolts.

 (25)

12) Wood smoke contains dangerous toxins that cause changes in human cells. Because wood smoke presents such a high health risk, legislation is needed to regulate the use of open-air fires and wood burning stoves

ans: In valleys where wood is used as the primary heating fuel, the concentration of smoke results in poor air quality.

13) Analysing the good returns that Halocircle Insurance Pvt Ltd was giving, Ratika bought a 1-year, Rs 10,000 certificate of deposit that paid interest at an annual rate of 8% compounded semi-annually.What was the total amount of interest paid on this certificate at maturity?

ans: @8%, for half year you get 400/- 10000x 8/100x1/2=400

 for the next year there will be interest on your investment of 10000 and also on your accrue interest of Rs.400/-

 that means another 400/+ interest on 400/- @8% for half year.=400+ (400x8/100x1/2)

 400+400+16=816

14) Juan is a gold medalist in athletics. In the month of May, if Juan takes 11 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?

ans: 11x/y

15) A certain company retirement plan has a rule of 70 provision that allows an employee to retire when the employee's age plus years of employment with the company total at least 70. In what year could a female employee hired in 1986 on her 32nd birthday first be eligible to retire under this provision?

ans: The female employee must gain at least 70 points.

 Now she has 32 and every year gives her two more points: one for age and one for additional year of employment, so 32 + 2 * (number of years) = 70

 (Number of years) = 19

 So, 1986 + 19 = 2005

16) Homeowners aged 40 to 50 are more likely to purchase ice cream and are more likely to purchase it in larger amounts than are members of any other demographic group. The popular belief that teenagers eat more ice-cream than adults must, therefore, be false. The argument is flawed because the author _____

ans: fails to distinguish between purchasing and consuming

17) Andalusia has been promoting the importance of health maintenance. From January 1,1991 to January 1,1993, the number of people enrolled in health maintenance organizations increased by 15 percent. The enrollment on January 1,1993 was 45 million. How many million people(to the nearest million) was enrolled in health maintenance organizations on January 1,1991?

ans: let there are 'x' population at jan1,1991

 15% of x = 15/100*(x)

 (x)+[15/100*(x)]=45 /* as there is 15% increase from 1991 to 1993*/

 x=39.13

18) What is the lowest possible integer that is divisible by each of the integers 1 through 7, inclusive?

ans: L.C.M of(1,2,3,4,5,6,7)=2*2*3*5*7=420

19) If the area of a square region having sides of length 6 cms is equal to the area of a rectangular region having width 2.5 cms, then the length of the rectangle, in cms, is

ans: Area of a Square

 s x s

 6 x 6 = 36

 Area of a Rectangle

 lw

 ?(2.5)

 =36 as it is equal to the area of a square

 36/2.5 = 14.4 cm

20) A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 2500 gallons of water evaporate from the tank, the remaining solution will be approximately what percentage of sodium chloride?

ans: Original =10,000 ----> sodium chloride = 5% ie 500

 New = 10,000-2,500 = 7500.

 New % = (500/7500) * 100

 = 6.67%

21) After loading a dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day of the crew. If the night crew has 4/5 as many workers as the day crew, what fraction of all the boxes loaded by two crews did the day crew load?

ans: Number of workers

 Day shift: 5 workers (this is an easy number to find 4/5 of)

 Night shift: 4 workers (4/5 of 5 = 4)

 Boxes loaded per worker

 Day shift: 4 boxes per worker

 Night shift: 3 boxes per worker (3/4 of 4 = 3)

 Total boxes loaded

 Day shift: 5 workers times 4 boxes per worker = 20 boxes

 Night shift: 4 workers times 3 boxes per worker = 12 boxes

 Combined total boxes for both shifts = 20 + 12 = 32

 Of the 32 boxes, the day shift loaded 20 of them.

 20/32 = 5/8

22) A bakery opened yesterday with its daily supply of 40 dozen rolls. Half of the rolls were sold by noon and 80 % of the remaining rolls were sold between noon and closing time. How many dozen rolls had not been sold when the bakery closed yesterday?

ans: 4 rolls were not sold.............half of them were sold by noon.......so 20 rolls remain....and then 20% were not sold,, so 20% of the 20 rolls is 4 then it is the answer

23) If n=4p, where p is a prime number greater than 2, how many different positive even divisors does n have including n?

ans: 4

24) A dealer originally bought 100 identical batteries at a total cost of q rupees. If each battery was sold at 50 percent above the original cost per battery, then, in terms of q, for how many rupees was each battery sold?

ans: bought for q/100 dollars per battery

 each battery sold with profit 50% is

 q/100 + q/100*50/100

 =q/100+q/200

 =3q/200

25) The price of lunch for 15 people was 207 pounds, including a 15 percent gratuity of service. What was the average price per person, EXCLUDING the gratuity?

ans: Let the net price excluding the gratuity of service = x pounds

 Then, total price including 15% gratuity of service = x + 0.15 x = 1.15 x pounds

 So, 1.15 x = 207 pounds

 ==> x = 207 / 1.15 = 180 pounds

 Net price of lunch for each person = 180 / 15 = 12 pounds

26) Of the following, which is the closest approximation of (50.2*0.49)/199.8 ?

ans: For approximation

 (50.2*0.49)/199.8 can be taken as

 50*0.5/200 = 25/200 = 1/8 = 0.125

27) How many prime numbers between 1 and 100 are factors of 7150?

ans: 7,150 = 2 * 5 * 5 * 11 * 13

 so there are 4 distinct prime numbers that are below 100

28) Guitar Strings often go dead - become less responsive and bright in tone - after a few weeks of intense use. A researcher whose son is a classical guitarist hypothesized that dirt and oil, rather than changes in the material properties of the string, were responsible. Which of the following investigations is most likely to yield significant information that would help evaluate the researcher's hypothesis?

ans: Determining whether smearing various substances on new guitar strings causes them to go dead

29) Red blood cells in which the malarial-fever parasite resides are eliminated from a person's body after 120 days. Because the parasite cannot travel to a new generation of red blood cells, any fever that develops in a person more than 120 days after that person has moved to a malaria free region is not due to malarial parasite. Which of the following, if true, most seriously weakens the conclusion above?

ans: In some cases, the parasite that causes malarial fever travels to cells of the spleen, which are less frequently eliminated from a person’s body than are red blood cells.

30) Among a group of 2500 people, 35 percent invest in municipal bonds, 18 percent invest in oil stocks, and 7 percent invest in both municipal bonds and oil stocks. If 1 person is to be randomly selected from 2500 people, what is the probability that the person selected will be one who invests in municipal bonds but not in oil stocks

ans: 7/25

31) When a polygraph test is judged inconclusive, this is no reflection on the examinee. Rather, such a judgment means that the test has failed to show whether the examinee was truthful or untruthful. Nevertheless, employers will sometime refuse to hire a job applicant because of an inconclusive polygraph test result. Which of the following conclusions can most properly be drawn from the information above?

ans: An inconclusive polygraph test result is sometimes unfairly held against the examinee

32) Country Club has an indoor swimming club. Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 12 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?

ans: Suppose there are x members, non pass members arre 7x/10 which are equal to 12 + 30 = 42

 7x/10 = 42

 x = 60

 There are 60 members in that club

33) A necklace is made by stringing N individual beads together in the repeating pattern red bead, green bead, white bead, blue bead and yellow bead. If the necklace begins with a red bead and ends with a white bead, then N could be:

ans: R G W B Y is the bead pattern and it repeats.

 Bead want to end with White.

 So, the 3rd, 8th, 13th, 18th... beads will be W.

 this can be expressed as 5n+3,where n is an integer.(counting no of white bead)

 Test each of the answer choices to determine which is multiple of 5 plus a value of 3.Of the options ,only 68=5(13)+3 can be written in the form 5n+3.

 So,the answer is 68.

Given F=3S+S=4S ----(1)

F+8=5/2(S+8)----(2)

By Substituting F=4S in (2) We get S=8

Therefore F=32.

Since After 16 years,F=48,S=24

So Father's age after 16 years is 2 times of Son's age.

•Roy is now 4 year older than Erik and half of that amount than Lewis.If in two years Roy will be twice as old as Erick,then in two year what would be Roy age multiplied by Lewis age??

ans is 48

firstly two equation from 1st sentence ..

suppose roy=x, erik=y, lewis=z

so x=y+4....(1)

2nd is x=z+2...(2) (Roy is now 4 year older than Erik and half of that amount than Lewis so 4/2=2)

also after 2 years erik and roy relation wil b

x+2=2(y+2).. (3)

so put this into 1st equ. u will get y=2..

and then x=6,z=4(by substituting other)

nw asking multiplication after two years of roy n lewis is (6+2)*(4+2)=48..

If there are maximum acute angles then how many convex hectagons are there?

•if a/5,3,2,give the remainder 1,2,0.what is the no when is divided by 2 3, 5

number delhi publication

•How many polygon function of degree less than equal to 1 satisfy f(x)^2={f(n)^2={f{f(x))

•The number of bacteria was growing in a city exponentially.at 4 pm yesterday , the number of bacteria was 400 and at 6 pm yesterday it was 3600.How many bacteria were there at 7pm yesterday?

10800

•35674 term in 12345678910111213....

35674

•maximun number of identical pieces(of same size) of a cake by making only 3 cuts? -6

•XXQ68) Find the area (in square units) of the triangle formed by 2x+3y=5, y=x and X-Axis.

5/4

the points of intersection for lines:

2x+3y=5 and x=y => 5x=5 => x=1 and y=1 =>(1,1)

x=y and y=0(x-axis) => x=0 and y=0 =>(0,0)

2x+3y=5 and y=0(x-axis) => 2x=5 => x=5/2 and y=0 =>(5/2,0)

area of triangle with vertices (x1,y1),(x2,y2),(x3,y3) is

|x1(y2-y3)+x2(y3-y1)+x3(y1-y2)|/2

=|1(0-0)+0(0-1)+5/2(1-0)|/2

=|1+5/2|/2

=7/4 sq units...

•The ratio of perimeter of an equilateral triangle having an altitude equal to the radius of the circle, to the perimeter of an equilateral triangle inscribed in that circle is ?

Q1.  geometry

Check this from the site http://www.m4maths.com

Q2. MOTHER +DAUGHTER+INFANT AGE IS 74. MOTHER AGE IS 46 MORE THEN DAUGHTER AND INFANT. AND INFANT AGE IS 0.4 OF DAUGHTER. FIND DAUGHTERS AGE.

Q3.  SOME CARDS QUESTION. PROBABILITY OF 1 ACE WHICH IS RED AND ONE SPADE. SOMETHING LIKE THIS. DO GO THRU THE CARDS QUES. THE DECKS AND EVERYTHING.

Q4.THERE ARE EXACTLY 4 THURSDAYS AND 4 SUNDYS IN A MONTH OF 31. FIND THE FIRST DAY. MY ANS WAS SHAYD MONDAY. U CAN CALCULATE EASILY.

Q5. THEN THERE WERE 2-3 QUESTIONS BASSED ON SPEED AND DISTANCE. EASY ENOUGH. ULL BE ABLE TO MANAGE THEM.

ONE WAS LIKE 2 CARS START FROM A POINT X. CAR1 START  AT 10 AM AND CAR2 AT SOME TIME. BOTH THE CARS GO TILL THEY REACH A T POINT. ONE TAKES LEFT OTHER RIGHT. IT WAS TO BE FOUND OUT HOW  MUCH WAS THE DISTANCE BETWEEN THE 2 CARS AT 2 PM.

Q6. ANOTHER TIME DISTANCE, A PERSON RUNS AROUND A RECTANGULAR FIELD. TIME GIVEN SPEED GIVEN. FIND THE DISTANCE. APPLY PERIMETER FORMULA 2(Length+breadth). And length and breadth ratio given. Find area.

Q7.THEN THERE WAS A SERIES COMPLETION QUESTION.

7^0,7^1 , 7^1+7^0,7^2… SOMETHING LIKE THIS BUT I WAS NOT ABLE TO SOLVE IT SOME ERRORENOUS DETAILS WERE TPRESENT

Q8 THREE GROUPS :: X1,X2,X3

A,B COMMON TO ALL THREE. THEN ATLEAST 1 ELEMNT COMMON TO 2 IE X1,X2,X2,X3,X3,X1. FINDMINIMUM ELEMENTS IN EACH GROUP. ANSWER IS 4.

Q9. U PEOPLE PROBABLY MUST HAVE DONE THE OPENSEESAME SAMPLE PAPER. THERE WAS 1 FLY QUESTION THERE. IT JUMPS AT EVEY TICK 4 STEPS. THERE WAS A SIMILAR QUESTION AND THE INSECT WAS JUMPING IN A CIRCULAR QUESTIONS.

Q10. Now A NEW ELEMENT.

THERE WERE2-3 VISUALIZING QUESTIONS ALSO.

A CUBE WAS GIVEN  IN 1D. WITH DOTTED LINES. FACE WERE MARKED. WITH 1 FACE AS X. U HAD TO TELL THAT WHAT WILL BE FACE OPPOSITE X WHEN IT IS FOLDED AS A CUBE.

Q11:

DI QUES

THERE WERE ATLEAST 6-7  QUESTIONS

LINES WERE GIVEN TO INTERPRET. WHOLE LOT OF LINES THEN WE HAD TO ANSWER 1 QUESTION BASED ON THE CONCLUSION

SOMETHING LIKE THIS(THIS QUES IS JUST A SAMPLE)

Directions for Q. 1 to Q. 5: Refer the data:
J, K, L, M and N collected stamps. They collected a total of 100 stamps. None of them collected less than 10.
No two among them collected the same number.
(i) 3 collected the same number as K and M together.
(ii) L collected 3 more than the cube of an integer
(iii) The no. collected by J was the square of an integer.
(iv) Total no. collected by K was either the square or cube of an integer.
1. The no. collected by J was:
(1) 27 (2) 49 (3) 36 (4) 64
2. The no. collected by K was:
(1) 16 (2) 27 (3) 25 (4) 36
3. The difference of numbers collected by L & M was:
(1) 3 (2) 2 (3) 5 (4) 9

THE WORST PART IS THAT THEY JUST GIVE 1 QUESTION BASED ON THE WHOLE ANALYSIS.