Number System
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Q.

The number 3 divides ‘$a$’ with a result of ‘$b$’ and a remainder of 2.

The number 3 divides ‘$b$’ with a result of 2 and a remainder of 1.

What is the value of $a$?

 A.

13

 B.

17

 C.

21

 D.

23

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Solution:
Option(D) is correct

Since 3 divides $b$ with a result of 2 and a remainder of 1, $b = 2×3 + 1 = 7$.

Since number 3 divides a with a result of $b$ (which we now know equals 7) and a remainder of 2, $ a = b×3 + 2 = 7×3 + 2 =$ 23.


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