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When a number is divided by 3, the remainder is 2. Again, when the quotient is divided by 7, the remainder is 5. What will be the remainder when the original number is divided by 21?

When a number is divided by 3, the remainder is 2. Again, when the quotient is divided by 7, the remainder is 5. What will be the remainder when the original number is divided by 21? Correct Answer 17

Concept used:

Number = Quotient × Divisor + Remainder

# In such questions, we start from last

Calculation:

Let last quotient be 'x'

⇒ Last number = 7x + 5

∴ First number = 3 × (7x + 5) + 2 = 21x + 17

Now, when 21x + 17 is divided by 21 

⇒ Remainder = 17 

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