Question

Which of the following statements is not true?

• A. 78 is divisible by 2.
• B. 172 is divisible by 4.
• C. 33176 is divisible by 8.
• D. 53 is divisible by 2.

Answer 1

The correct option is D

53 is divisible by 2.

(i) A number is divisible by 2, if its ones digit is divisible by 2 (e.g. 78, 50, 146, etc.)
Hence, 78 is divisible by 2.

(ii) A number is divisible by 4, if the number formed by its last two digits is divisible by 4. (e.g. 392, 500, 29320, etc.)
172 is divisible by 4 as the number 72 formed by its last two digits is divisible 4.

(iii) A number is divisible by 8, if the number formed by its last three digits is divisible by 8. (e.g. 33176, 436000, etc.)
In 331176, 176 is divisible by 8; hence, 331176 is divisible by 8.

(iv) The number 53 ends with 3, hence it is not divisible by 2.
$\therefore$ This statement is not true.