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)

A 3-digit number 4p3 is added to another 3-digit number 984 to give the four-digit number 13q7, which is divisible by 11. Then, (p + q) is :

• 1]

  9

• 2]

  10

• 3]

  11

• 4]

  12

The sum of first 49 natural numbers is ?

• 1]

  1275

• 2]

  1225

• 3]

  1205

• 4]

  1185

Find the sum to 200 terms of the series 1 + 4 + 6 + 5 + 11 + 6 + ....

• 1]

  29800

• 2]

  30200

• 3]

  31600

• 4]

  28480

If n is a natural number, then (6n² + 6n) is always divisible by:

• 1]

  6 only

• 2]

  12 only

• 3]

  6 and 12 both

• 4]

  by 18 only

The smallest 3 digit prime number is:

• 1]

  101

• 2]

  103

• 3]

  109

• 4]

  113

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

If (64)² - (36)² = 20 x a, then a = ?

• 1]

  115

• 2]

  140

• 3]

  132

• 4]

  176

A number is divided by 221, the remainder is 64. If the number be divided by 13 then the remainder will be

• 1]

  1

• 2]

  2

• 3]

  3

• 4]

  4

Which of the following is a prime number ?

• 1] 97
• 2] 93
• 3] 33
• 4] 81