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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