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In a division operation the divisor is 5 times the quotient and twice the remainder. If the remainder is 15, then what is the dividend?

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175

185

195

205

answer is C.

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Detailed Solution

Concept- First, let's assume that the quotient is

x .

The divisor is equal to the remainder by

2 tim

es and the quotient by

5 times

. The remainder has a value of

15

. Using the value of the remainder, find the divisor's numerical value now. Then, using the relationship that the divisor is

5 times the

quotient, determine the value of the quotient. Use the following equation:

Dividend = Divisor \times Quotient + Remainder .

Add the quotient, remainder, and divisor's numerical values to the formula. Then, continue to solve it to obtain the dividend.
Divisor

Quotient

We know that,
Dividend

Divisor

Quotient

Remainder

.
Hence, the correct option is (3).

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