QUANTITATIVE/LOGICAL REASONING TCS Placement Paper ( 38 questions , 40 minutes )
1. If a + b + c = 0, then (a3 + b3 + c3) ÷ abc is equal to:
(A) 1 (B) 2 (C) 3 (D) 9
Ans : C
2.The difference between compound interest and simple interest for 3 years at 5% per annum can be found out by
multiplying the principal by:
(A) 1.7625 (B) 0.7625 (C) 0.07625 (D) 0.007625
Ans : A
3.The simple interest on a sum of money is 1/9 th of the sum and the number of years and the rate per cent per
annum are equal. The rate per cent per annum is:
(A) 3 1/3 (B) 5 (C) 6 2/3 (D) 10
Ans : A
4.A man invested Rs 5,000 at some rate of simple interest and Rs 4,000 at 1% higher rate of interest. If the interest in both the cases after 4 years is same the rate of interest in the former case is:
(A) 4% (B) 5% (C) 6 1/4% (D) 8 1/3 %
Ans : A
5. A sum of money at simple interest rate amounts to Rs 4,025 in 3 years and to Rs 4,550 in 6 years at the same
rate of interest. Find the sum and the rate of interest per annum.
(A) Rs 2,500, 6% (B) Rs 3,000, 5% (C) Rs 3,500, 5% (D) Rs 4,500, 4%
Ans : C
6. On a certain map of India the actual distance of 1450 kms between two cities Delhi and Kolkata is shown as
5 cms. What scale is used to draw the map?
(A) 1 : 15 × 106 (B) 1 : 20 × 106 (C) 1 : 25 × 106 (D) 1 : 29 × 106
Ans : D
7. The ratio between the third proportional of 12 and 30 and mean proportional of 9 and 25 is:
(A) 2 : 1 (B) 5 : 1 (C) 7 : 15 (D) 9 : 14
Ans : B
8. Rs 1,050 are divided among P, Q and R. The share of P is 2/5 of the combined share of Q and R. P gets:
(A) Rs 320 (B) Rs 300 (C) Rs 200 (D) Rs 420
Ans : B
ma + nc
9. If a : b = c : d, then ________ is equal to:
mb + nd
(A) an : mb (B) m : n (C) a : b (D) dm : cn
Ans : C
10. How many even numbers of four-digits can be formed with digits 1, 2, 3, 4, 5, 6 (repetition of the digit is
allowed)?
(A) 648 (B) 180 (C) 1296 (D) 540
Ans : A
11. There is a number lock with four rings. How many attempts at the maximum would have to be made before
getting the right number?
(A) 104 (B) 255 (C) 104 – 1 (D) 256
Ans : C
12. There are four letters and four envelops addressed to different persons. In how many ways can wrong choices
be made?
(A) 64 (B) 23 (C) 16 (D) 255
Ans : D
13. There are 10 points on a straight line AB and 8 points on another AC, none of them being A. How many
triangles can be formed with these points as vertices?
(A) 720 (B) 640 (C) 816 (D) 680
Ans : B
14. A circular ground of circumference of 88m. A strip of land 3m wide inside and along the circumference is to be
leveled. What is the expenditure if leveling cost is Rs. 7 per metre square.
Ans. 1650
15. There are 4 boys and 3 girls. What is the probability the boys and girls sit alternately?
Ans 1/35
16. Two trains are 2 kms apart. Speed of one train is 20m/s and the other train is running at 30 m/s . Lengths of the
trains are 200 and 300m. In how much time do the trains cross each other?
Ans. 50 seconds
17. A& B are two players. They need to select one number from 1 to 25. If both the players select the same
numbers they will win the prize. What is the probability of not winning in a single trial?
Ans 24/25
18. Four different integers are in increasing AP such that one number is equal to sum of the squares of the other
three numbers.
Ans –1,0,1,2
19. In a company there were 75 % skilled employees and the remaining unskilled. 80% of the skilled and 20% of
the unskilled were permanent. If the temporary employees were 126 find the total number of employees.
Ans 360
20. A person sells a horse at 12.5% loss. If he sells for 92.5 more, he will have a profit of 6%. What is the CP?
Ans 500
21. One tap takes 15 min to fill, another tap takes 12 min to fill and the third tap can empty in 20 min. In how much
time the tank would be full.
Ans 10 min
22. Two trains are separated by 200km. One leaves at 6:00 am from Delhi and reaches Merrut at 10:00 am.
Another train leaves from Merrut at 8:00 am and reaches Delhi at 11:30 am. At what time two trains meet each
other?
Ans 8:56 am
23. If the height of the triangle decreases by 40% and the breadth increases by 40%. Then the effect on the area is
Ans. 16% decrease.
24. A grandfather has 5 sons and daughters and 8 grandchildren.. They have to be arranged in arrow such that the
first 4 seats and last four seats are to be taken by grandchildren and the grandfather would not sit adjacent to
any of the grandchildren.
Ans. 4 * 8! * 5!
25. A farmer has a rectangular plot. He wants to do fencing along one of the side with the help of the posts. Two
posts being on two corners. He brings 5 post less than what he has initially plan because of which the distance
between two consecutive post became 8 m instead of 6 m.. What is the length of the side and no of post?
Ans. 120 , 16
26. A circular ground of circumference of 88m. A strip of land 3m wide inside and along the circumference is to be
leveled. What is the expenditure if leveling cost is Rs. 7 per metre square ?
Ans. 1650
27. Four horses are tethered at the four corners of a square of side 14cm such that two horses along the same side
can just reach each other. They were able to graze the area in 11 days. How many days will they take in order
to graze the left out area?
Ans. 3
28. Six bells commence tolling together and toll at intervals 2,4,6,8,10 and 12 seconds respectively. In 30 minutes
how many times they toll together.
a) 4 b) 10 c) 15 d) 16
Ans: d)
29. The number of coins 1.5 cm in diameter and 0.2cm thick to be melted to form a right circular cylinder of height
10 cm and diameter 4.5 cm is:
a) 380 b) 450 c) 472 d) 540
Ans: b)
30. The size of a wooden block is 5 * 10 * 20 cm3. How many whole such blocks you will take to construct a solid
wooden cube of minimum size?
a) 6 b) 8 c) 12 d) 16
Ans: b)
31. Find the odd man out - 1050, 510, 242, 106, 46, 16, 3
a) 510 b) 242 c) 106 d) 46
Ans: C)
32. A clock loses 10 minutes each hour. If the clock is set correctly at noon, what time is it when it reads 3 PM?
Ans: 8 minutes.
33. If 8 crows can steal 8 buttons in 8 minutes, how long will it take 16 crows to steal 16 buttons?
32 buttons
34. The amount of water in a tank doubles every minute. The tank is full in an hour. When was the tank half full?
Ans: 59 minutes.
35. A laborer can dig a hole 8 feet square and 8 feet deep in 8 days. How long will it take him to dig a hole 4 feet
square and 4 feet deep?
Ans: 1 day
36. A clock loses 10 minutes each hour. If the clock is set correctly at noon, what time is it when it reads 3 PM?
Ans: 3:36 PM.
37. If 2 miles of fence enclose a square plot of 160 acres, how large a square will 4 miles of fence enclose?
Ans: 640 acres or 1 square mile.
38. A woman travels 1 mile south, then one mile west, and then mile north, and arrives at her starting point.
Where is she?
Ans: North
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