Quiz Discussion

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)

(?) - 19657 - 33994 = 9999

• 1]

  63650

• 2]

  59640

• 3]

  53760

• 4]

  61560

• 5]

  None of these

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

3897 X 999

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

Which of the following number is divisible by 24 ?

• 1]

  35718

• 2]

  63810

• 3]

  537804

• 4]

  3125736

What is the unit digit in 27^20?

• 1]

  1

• 2]

  2

• 3]

  3

• 4]

  4

If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x + y = ?

• 1] 2 or 6
• 2] 4
• 3] 4 or 8
• 4] 8
• 5] None of these

What is the unit digit in (4137) ⁷⁵⁴?

• 1]

  7

• 2]

  8

• 3]

  9

• 4]

  6

The difference between the two numbers is 2395. When the larger number is divided by the smaller ones, the quotient is 6 and the remainder is 15. The smaller number is

• 1]

  326

• 2]

  298

• 3]

  476

• 4]

  531