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

I and II

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II,III and IV

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III and IV

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II and IV

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Solution

The correct option is B II,III and IV
option(b)

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

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

$7 N = \frac{21}{15}$ remainder =6

$2 N = \frac{6}{15} .$ remainder =6

$5 N + 6 = \frac{21}{15} .$ Remainder = 6

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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

The correct option is B II,III and IVoption(b) take N=3 as 315 gives a remainder 3. 6N=18 1815 does not give a remainder 6 7N=2115 remainder =6 2N=615. remainder =6 5N+6=2115. Remainder = 6

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

The correct option is B II,III and IV
option(b)

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

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

$7 N = \frac{21}{15}$ remainder =6

$2 N = \frac{6}{15} .$ remainder =6

$5 N + 6 = \frac{21}{15} .$ Remainder = 6