Topic Name : Numbers - III

 1. How many three digit numbers are divisible by 6 in all?

 149

 150

 151

 166


 2. The largest natural number which exactly divides the product of any four consecutive natural numbers is:

 6

 12

 24

 120


 3. The largest natural number by which the product of three consecutive even natural numbers is always divisible is:

 16

 24

 48

 96


 4. If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the following will also be divisible by 11?

 4x + 6y

 x + y + 4

 9x + 4y

 4x - 9y


 5. In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, then the dividend is:

 4236

 4306

 4336

 5336


 6. The number (10n - 1) is divisible by 11 for:

 All values of n

 Odd values of n

 Even values of n

 n = multiples of 11


 7. If (1 x 2 x 3 x 4 x ... x n) = n!, then (14! - 13! - 12!) is equal to:

 14 x 12 x (12!)

 14 x 12 x (13!)

 14 x 13 x (13!)

 13 x 12 x (12!)


 8. How many of the following numbers are divisible by 132?

264, 396, 462, 792, 968, 2178, 5184, 6336

 4

 5

 6

 7


 9. A 3-digit number 4a3 is added to another 3-digit number 984 to give the four digit number 13b7, which is divisible by 11. Then, (a + b) is:

 10

 11

 12

 15


 10. If x and y are the two digits of the number 653 xy such that this number is divisible by 80, then x + y is equal to:

 2

 3

 4

 6


 11. If n is any positive integer, then (34n - 43n) is always divisible by:

 7

 17

 112

 145


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

 6

 12

 14

 18


 13. On dividing a number by 999, the quotient is 366 and the remainder is 103. The number is:

 364724

 365387

 365737

 366757


 14. The least square number which is divisible by 2, 3, 4, 5, 6 is:

 400

 900

 1600

 3600


 15. The smallest number which when added to the sum of the squares of 9 and 10, gives a perfect square, is:

 0

 3

 8

 15


 16. The value of {1 + 1/(1x2) + 1/(1x2x4) + 1/(1x2x4x8) + 1/(1x2x4x8x16)} upto four places of decimal is:

 1.6414

 1.6415

 1.6416

 1.6428


 17. (64)-2/3 x (1/4)-2 is equal to: 

 1

 1/4

 4

 16


 18. The expression [1/1.2 + 1/2.3 + 1/3.4 + ... + 1/n(n+1)] for any natural number n is:

 Always greater than 1

 Always less than 1

 Always equal to 1

 Not definite


 19. The smallest integer by which 3750 should be divided so that the quotient is a perfect square number is:

 2

 3

 5

 6


 20. On dividing 4150 by a certain number, the quotient is 55 and the remainder is 25. The divisor is:

 65

 70

 75

 80


 21. When n is divided by 4, the remainder is 3. What is the remainder when 2n is divided by 4?

 1

 2

 3

 6


 22. 217 x 217 + 183 x 183 = ?

 79698

 80578

 81268

 80698


 23. 397 x 397  + 104 x 104 + 2 x 397 x 104 = ?

 250001

 251001

 260101

 261001


 24. 1399 x 1399 = ?

 1687401

 1901541

 1943211

 1957201


 25. 9787 x 123 + 9787 x 77 = ?

 1867400

 1957400

 1967600

 1887400




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