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The divisor is 25 times of the quotient and 5 times the remainder. If the quotient is 16, the dividend is-

A. 6400

B. 6480

C. 400

D. 480

Answer: Option B

Solution(By Examveda Team)

Dividend = (divisor × quotient) + remainder
According to the question
$$\eqalign{ & {\text{Divisor :}} \cr & \Rightarrow {\text{16}} \times {\text{25 = 5}} \times {\text{remainder}} \cr & \Rightarrow {\text{R = }}\frac{1}{5} \times 16 \times 25 \cr & {\text{Dividend :}} \cr & {\text{ = }}\left[ {\left( {{\text{16}} \times {\text{25}}} \right) \times 16} \right] + \frac{1}{5} \times 16 \times 25 \cr & = \left[ {16 \times 25 \times 16} \right] + 80 \cr & = 6480 \cr} $$

This Question Belongs to Arithmetic Ability >> Number System

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