Quiz Discussion

A six-digit number is formed by repeating a three-digit number; for example, 256256 or 678678 etc. Any number of this form is always exactly divisible by :

• 1]

  7

• 2]

  13

• 3]

  11

• 4]

  1001

What is the unit digit in (4137) ⁷⁵⁴?

• 1]

  7

• 2]

  8

• 3]

  9

• 4]

  6

106 X 106 - 94 X 94

• 1] 9440
• 2] 9600
• 3] 9640
• 4] 9755

What least number must be added to 1056, so that the sum is completely divisible by 23 ?

• 1] 18
• 2] 21
• 3] 3
• 4] 2

{(476 + 424)^2 - 4 X 476 X 424}

• 1] (52)^2
• 2] (53)^3
• 3] (52)^4
• 4] (53)^5

The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?

• 1]

  295

• 2]

  240

• 3]

  270

• 4]

  360

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

• 1]

  6

• 2]

  12

• 3]

  18

• 4]

  24

3897 X 999

• 1] 3892109
• 2] 3893106
• 3] 3893103
• 4] 3929103

It is being given that (2³² + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?

• 1]

  (2¹⁶ + 1)

• 2]

  (2¹⁶ - 1)

• 3]

  (7 x 2²³)

• 4]

  (2⁹⁶ + 1)

Which of the following number should be added to 11158 to make it exactly divisible by 77?

• 1]

  5

• 2]

  6

• 3]

  7

• 4]

  8