What is the remainder when 51 x 27 x 35 x 62 x 75 is divided by 100

What is the remainder when 51 x 27 x 35 x 62 x 75 is divided by 100?

1. 50
2. 25
3. 5
4. 1

• Answer: The correct option is A
• Explanation:

  The expression is: 51 × 27 × 35 × 62 × 75

  (51 × 27 × 35 × 62 × 75)/100 = (51 × 27 × 35 × 62 × 3)/4 = (51 × 27 × 35 × 31 × 3)/2

  So, you need to find the remainder when 51 × 27 × 35 × 31 × 3 is divided by 2.

  The value of 51 × 27 × 35 × 31 × 3 must be an odd number, as it is a multiplication of all odd numbers. Hence, when it is divided by 2, you will get 1 as remainder.

  But you cancelled out 50 earlier.

  So, the remainder when 51 × 27 × 35 × 62 × 75 is divided by 100 = 1 × 50 = 50

• Exam Year: 2020