Question

A number N leaves a remainder 3 when it is divided by 15. Which of the following when divided by 15 will leave a remainder 6?
I) 6N
II) 7N
III) 2N
IV) 5N+6

• A. I and II
• B. II,III and IV
• C. III and IV
• D. II and IV

Answer 1

The correct option is B II,III and IV

Take $N=3$ as $\frac{3}{15}$ gives a remainder 3.

$6N=18,\frac{18}{15}$ does not give a remainder of 6.

$7N=21,\frac{21}{15}$ gives a remainder of 6.

$2N=6,\frac{6}{15}$ gives a remainder of 6.

$5N+6=21,\frac{21}{15}$ gives a remainder of 6.