Question : When a number is divided by 45, the remainder is 21. What will be the remainder when the number is divided by 15?
Option 1: 6
Option 2: 5
Option 3: 3
Option 4: 0
Correct Answer: 6
Solution :
Let the quotient when the number is divided by 45 be $x$.
Then, the number should be 45$x$ + 21
= (15 × 3$x$) + 21
Let 3$x$ = P.
So, 45$x$ + 21 = 15P + 21
So, it is clear that 15P is completely divisible by 15
So, the remainder should be 21 – 15 = 6.
Hence, the correct answer is 6.
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