TCS Recent Placement paper 2014 Set-2

This set of question are from TCS new question pattern for 2014 batch. Try to practice more questions on probability, permutation, combination and Geometry.

Analytical Ability:

No. of Question – 30

Time – 80 min.

1. 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 cube of an integer.

(iv) Total no.collected by K was either the square or cube of an integer.

The number of stamps collected by N was:

Ans. 12

Explanation: L can take only one value which is 11 (2^3+3) (30 is not possible because only there is only 20 for the remaining two and one of them will have less than 10 and that is not possible)

J also can take only one value which is 27.

J + L + N = 50.

Therefore, N = 50 – L – J = 50 – 11 – 27 = 12.

2.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. 15

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

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

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

5t = 75, t = 15

3. A turtle is crossing a field.  What is the total distance (in meters) passed by turtle? Consider the following two statements

(X) The average speed of the turtle is 2 meters per minute

(Y) Had the turtle walked 1 meter per minute faster than his average speed it would have finished 40 minutes earlier

(a) Statement X alone is enough to get the answer

(b) Both statements X and Y are needed to get the answer

(c) Statement Y alone is enough to get the answer

(d) Data inadequate

Ans. b

Explanation: v = 2 m/min

Initially, x = v * t

When the speed increases by 1 km/hr,

x = (2+1) * (t – 2/3)

The information in both statements together is sufficient to find the total distance passed by turtle.

4. A father purchases dress for his three daughters. The  dresses are of same color but of different size. The dress is kept in dark room .What is the probability that all the three will not choose their own dress.

Ans. 1/3

Explanation: At least one of them to choose correct dresses: A B C, A C B, C B A, B A C

For none of them to choose correct dresses: B C A, C A B

Probability is 2/6 = 1/3

5. Messrs. Siva Constructions, leading agents in  Chennai prepared models of their lands in the shape of a rectangle and triangle. They made models having same area. The length and width of rectangle model are 24 inches and 8 inches respectively. The base of the triangle model is 16 inches. What is the altitude of triangle model from the base to the top?

Ans. 24 inches

Explanation: If h is the height of triangle model, then 24*8 = 16*h/2 h= 24 inches.

6. In a stream running at 2 kmph, a motorboat goes 6 km upstream and back again to the starting point in 33 minutes. Find the speed of the motorboat in still water?

Ans. 22 km/hr

Explanation: Let the speed of the motorboat in still water be v, then Solving for v, we get v = 22 km/h.

7. There are 4 boxes colored red, yellow, green and blue. If 2 boxes are selected, how many combinations are there for at least one green box or one red box to be selected?

Ans. 5

Explanation: Out of 4 boxes 2 can be picked in 4C2 ways, i.e, 6 ways. Out of these 6 ways, only one will have yellow- blue combination. All other remaining combinations will have green or red or both. The answer is 5.

8. A merchant buys 20kg of wheat at Rs.30.00 per kg and 40kg wheat at Rs.25.00 per kg. He mixes them and sell one third of the mixture at Rs.26.00 per kg. The price at which the merchant should sell the remaining mixture so that he may earn a profit of 25% on his whole outlay is

Ans. 37

Explanation: Total CP = 20 * 30 + 40*25= 1600

SP = 125/100 * 1600= 2000

SP for 20 kg mix = 26*20 =520

Rem SP = 2000-520 = 1480

The SP for 40 kg = 1480/40 = Rs37

9. My name is PREET. But my son accidentally types the by interchanging a pair of letters in my name. What is the probability that despite this interchange, the name remains unchanged?

Ans. 10%

Explanation: Using 5 letters one can form 10 combinations and the only way that the name remains unchanged is when both E’s are getting interchanged. That is one of 10, which is 10%.

10. In month of 31 days, there are exactly 4 Thursdays and 4 Sundays. What is the day of  the week on the first of that month?

Ans. Monday

Explanation: If Thursdays and Sundays occur 4 times, then the days between them – Friday and Saturday – also will occur 4 times. The remaining days Mon, Tue and Wed will occur 5 times. Hence the month starts on Monday.

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