Numbers

1.What is the smallest number that should be added to 27452 to make it exactly divisible by 9?

a)1 b)2 c)7 d)8

2.If 522x is a three digit number with as a digit x . If the number is divisible by 6, What is the value of the digit x is?

a) 1 b) 2 c) 3 d)6

3. Find the least number which when divided by 5, 7 and 13 leaves the same remainder 3 in each case

a)398 b)453 c)458 d)463

4.If M183 is divisible by 11, find the value of the smallest natural number M ?

a) 5 b) 6 c) 7 d) 9

5.What least whole number should be added to 532869 to make it divisible by 9?

a)2 b)1 c)3 d)4

6.Find the least of value of ‘x’ so that the number 73818x4 is divisible by 8

a)1 b) 2 c) 3 d) 4

7.Find the least of value of ‘*’ so that the number 37*124 is divisible by 9 ?

a)1 b) 10 c) 2 d) 3

8.For a number to be divisible by 88 it should be:

a) Divisible by 8. b) Divisible by 8,22. c) Divisible by 8,11 d) Divisible by 4,22

9.What is the smallest number which must be added to 8261955 so as to obtain a sum which is divisible by 11?

a) 1 b)2 c)3 d)4

10.What is the missing digit which makes the number 9724* exactly divisible by 6 ?

a)2 b)4 c)5 d)6

11. What is the sum of the two consecutive numbers, If the difference of whose squares is 19?

a)9 b) 10 c) 18 d) 19

12.The least number which must be subtracted from 6709 to make it exactly divisible by 9 is:

a) 2 b) 3 c) 4 d) 5

13.The least number by which 72 must be multiplied in order to produce a multiple of 112, is:

a) 6 b) 12 c) 14 d) 18

14. Which number should be subtracted from 321 so that it becomes prime?

a)2 b)4 c)6 d)9

15.When a number is divided by 31, the remainder is 29. When the same number is divided by 16, what will be the remainder?

a) 11 b) 13 c) 15 d) Data inadequate

16.A number when divided by 6 leaves a remainder 3. When the square of the same number is divided by 6, the remainder is:

a) 0 b) 1 c) 2 d) 3

17.If x is a whole number, then x²(x²-1) is always divisible by: a) 12 b) 24 c) 12-x d) multiple of 12

18.A number when divided successively in order by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is:

a) 214 b) 476 c) 954 d) 1908

19.A number when divided by 3 leaves a remainder 1. When the quotient is divided by 2, it leaves a remainder 1. What will be the remainder when the number is divided by 6?

a) 2 b) 3 c) 4 d) 5

20. Give the greatest pair of twin primes which are below 100?

a)71,73 b)93,95 c)97,99 d)87,89

21. Find the least number which when divided by 5, 7 and 13 leaves the same remainder 3 in each case

a)398 b)453 c)458 d)463

22. What is the square root of 576/9 ?

a)6 b)16/8 c)8 d)32

23. Which number is the fourth power of 7?

a)2401 b)451 c)343 d)none

24. Which number should be added to 113257 so that it can be divided by 9?

a)4 b) 6 c) 8 d) 10

25. For what value of M is the number 7M42876M divisible by 11?

a) 0 b) 8 c)4 d) 9

26. Find the remainder when 2²¹ is divided by 6.

a)0 b)1 c)2 d)3

27. Out of 26, 13, and 34, which two numbers are co-primes?

a)26 and 14 b)13 and 34 c)26 and 34 d)None

28. Find the greatest number that divides 125,218,280 and 342 so as to leave the same remainder in each case.

a)37 b)35 c)33 d)31

29. The sum of squares of 3 numbers is 170, while the sum of their products taken two at a time is 157.What is the sum of the numbers?

a)20 b)22 c)24 d)28

30. Find the greatest 5 digit number that is exactly divisible by 3, 4, 5 and 7?

a)99940 b)99960 c)99970 d)99990