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Question

Which of the following number is not divisible by 25?

The correct answer is
8565

To determine which number is not divisible by 25, we can use the divisibility rule for 25. A number is divisible by 25 if its last two digits form a number that is divisible by 25. Let's check each option below:

  1. 5625: The last two digits are 25, which is divisible by 25. Thus, 5625 is divisible by 25.
  2. 8565: The last two digits are 65, which is not divisible by 25. Thus, 8565 is not divisible by 25.
  3. 6400: The last two digits are 00, which is divisible by 25. Thus, 6400 is divisible by 25.
  4. 7875: The last two digits are 75, which is divisible by 25. Thus, 7875 is divisible by 25.

Therefore, the number 8565 is not divisible by 25, and it is the correct answer.

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Important Questions from Number System

  1. Consider the following statements :

    1. (25)! + 1 is divisible by 26

    2. (6)! + 1 is divisible by 7

    Which of the above statements is/are correct ?

  2. If the sum S is divided by 8, what is the remainder ?  

  3. If the sum S is divided by 60, what is the remainder ?

  4. Find the sum of squares of the greatest value and the smallest value of K in the number so that the number 45082K is divisible by 3.

  5. How many composite numbers are there from 53 to 97 ?

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