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A number when divided by 1547 gives a remainder 35, if the same number is divided by 17 then remainder will be:


1. 1
2. 2
3. 3
4. 4

1 Answer

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Correct Answer - Option 1 : 1

Given

The number is divisible by 1547 and leaves the remainder 35.

Formula used

Dividend= Divisor*Quotient + Remainder

Calculation

⇒ Let the dividend be x.

⇒ x = 1547p + 35, where p is quotient      ---(1)

⇒ x = 17q + R, where q is quotient and R is the remainder      ---(2)

⇒ from (1) and (2)

⇒ 1547p + 35 = 17q + R

⇒ We know 1547 is divisible by 17, then

⇒ 35 = 17q + R

⇒ So R = 1.

∴ the remainder is 1

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