TCS@ Guwahati

Tcs written exam :: 10-12th September , GUWAHATI

1. Find X^y+y^x=46. Find X and Y values?

2. 3 white chips, 7 blue chips, 16 green chips, 2 chips drawn from the box in succession what is the probability that one is blue and other is white?
a) 7/50 b) 8/30 c) 7/25 d) 20/26

3. If a person has to work 8 continuous day & he gets a rest on the 9th day. If a person starts on Monday. What is the day of 12th rest day?

4. How many liters of a 90% of concentrated acid needs to be mixed with a 75% solution of concentrated acid to get a 30 liter solution of 78% concentrated acid?
a) 8 b)9 c) 7 d)6

5. 3 cars A, B & C are in the race. A is twice as likely to win as B and B is thrice as likely to win as C. what is probability that B will win, if only one can win the race ?
a) ½ b) 2/5 c) 3/10 d) 1/10

6. A cow & Horse brought for Rs.2000. The cow is sold at a profit of 20% and the Horse is sold at a loss of 10%. Of The overall gain is Rs.40. The cost price of the cow is :
a) 700 b) 800 c) 1200 d) 1300

7. The sum of 3 consecutive numbers of the four numbers A, B, C, D are 4613,4961,5010,5099 then what is the largest number among A,B,C,D ?
a) 1948 b) 1463 c) 1601 d) 1550

8. George printing press can print an edition of newspapers in 12 hours while Paul’s press can print the same edition in 18 hours. What is the total no. of hours the press working together but independent of one another to print the same edition?
a) 15 b) 17.4 c) 7 d) 7.2

9. 87th number in the series 2, 10, 26, 50…….

10. 70, 54, 45, 41……. What is the next number in the given series?

11. If the sum of the numbers in each row column, diagonal are same then find the value of (Y+Z)

12. If the sum of the numbers in each row column, diagonal are same then find the value of (Y+Z)

13. In the simple subtraction problem Below , sum single digits (not necessarily distinct) are replace by letters , find the value of 7*A + 7*B +6*C*D
A 7  C   2
-   4  B  6   8
————–
5  4   3   D
a) 77 b) 95 c) 84 d) 70

14. How many polynomial functions f of degree >=1 satisfy f(X2) = (f(X)) 2 =f (f(X)).
a) 1 b) 0 c) 2 d) more than 2

15. What is the remainder when 50! (50 factorial ) is divided by 16 ^ 15 (1615)
Answer is: 1

16. 1,5,6 ,25, 26,30,31, 125,126,130,131,150,151,155,156,…………………
What is the value of 30th term in the given series?
a) 781 b) 3125 c) 776 d) 780

17. The climb from foot to top of a hill 800 meters, Jack can climb at 16 meters per minute and rests for two minutes or 20meters per 2 minutes and rest for one minute. Paul can climb at 10 meters per one minute and rest for one minute or

16 meters per minute and rest for 2 minutes. If take has to reach the top in exactly two hours. What is the maximum number of rests that he can take?
a) 41 b) 42 c) 40 d) 43

18. If the 20th term of an AP=560 and 30th term of AP=840 then what is the sum of 5th term and 40th term of the series.
a) 1450 b) 1560 c) 1260 d) 1340

19. Raj tossed 3 dices and there results are noted down then what is the probability that raj gets 10?
a) 1/72 b) 1/9 c) 25/216 d)1/8

20. The diagonal of a square is twice the side of equilateral triangle the ratio of Area of the Triangle to the Area of Square is?
a) √3:8 b) √2:5 c) √3:6 d) √2:4

21. Apple costs L rupees per kilogram for first 30kgs and Q rupees per kilogram for each additional kilogram. If the price of 33 kilograms is 11.67and for 36kgs of Apples is 12.48 then the cost of first 10 kegs of Apples is
a) 3.50 b) 10.53 c) 1.17 d)2.8

22. 1,2,2,3,3,3,4,4,4,4,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,…………………………………..
Then what is the 2532 position of the number in the sequence?
a) 2 b) 1c) 3 d) 4

23.
1,2,2,3,3,3,4,4,4,4,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,…………………………………..
Then what is the 2320 position of the number in the sequence?
b) 2 b) 1c) 3 d) 4

24. How many 7’s are there between 0 to 400?

25. The letters in the word ABUSER are permuted in all possible ways and arranged in alphabetical order then find the word at position 49 in the permuted alphabetical order?
a) ARBSEU
b) ARBESU
c) ARBSUE
d) ARBEUS

26. The letters in the word TALION are permuted in all possible ways and arranged in alphabetical order then find the word at position 33 in the permuted alphabetical order?

27. The letters in the word SHOVEL are permuted in all possible ways and arranged in alphabetical order then find the word at position 31 in the permuted alphabetical order?

28. 15 students join a summer course. Every day 3 students are on duty after school to clean the class rooms. After the course, it was found that every pair of students has been on duty exactly once. How many days does the course last for?
a) 35 b) 45 c) 105 d)none of these

29. Consider all permutations (i.e., arrangements) of digits 1, 2&3. We will say that a hit has been scored if at least one digit occurs in its proper position in the permutation. If 1 (one) occurs in the first position or 2 in the second position or 3(three) in the 3rd position in how many ways of these permutations is a hit scored?
a) 4 b) 1 c) 2 d) 3

30. If the word MONOS is permuted then the probability that O’s never come together?

31. Next number in the given series 1, 7, 8, 49, 50, 56, 57, 343,

Collected from a website.