Question : When a number $x$ is divided by a divisor, it is seen that the divisor is 4 times the quotient, or double the remainder. If the remainder is 80, then the value of $x$ is:
Option 1: 6480
Option 2: 6980
Option 3: 8460
Option 4: 4680
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Correct Answer: 6480
Solution :
Given: Divisor $= 4 ×$ Quotient $= 2 ×$ Remainder, Remainder $= 80$
Divisor $= 2 × 80 = 160$
And,
Divisor $= 4 ×$ Quotient
$160 = 4 ×$ Quotient
Quotient $= \frac{160}{4} = 40$
Let the dividend be $x$.
We know, Dividend $=$ Divisor $×$ Quotient $+$ Remainder
⇒ $x = 160 × 40 + 80$
⇒ $x= 6400 + 80$
⇒$x = 6480$
Hence, the correct answer is $6480$.
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