Question : In a division sum, the divisor is 12 times the quotient and 5 times the remainder. If the remainder is 36, then the dividend is:
Option 1: 2706
Option 2: 2796
Option 3: 2736
Option 4: 2826
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Correct Answer: 2736
Solution :
Given: In a division sum, the divisor is 12 times the quotient and 5 times the remainder.
Remainder = 36
According to the question,
Divisor = 5 × Remainder
$\therefore$ Divisor = 5 × 36 = 180
Now, Divisor =12 × Quotient
$\therefore$ Quotient = $\frac{180}{12}$ = 15
Dividend = (Divisor × Quotient) + Remainder
$\therefore$ Dividend = (180 × 15) + 36 = 2736
Hence, the correct answer is 2736.
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