Question : A divisor is 15 times the quotient and 3 times the remainder. If the remainder is 40, find the dividend.
Option 1: 900
Option 2: 750
Option 3: 1000
Option 4: 600
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Correct Answer: 1000
Solution :
Given: A divisor is 15 times the quotient and 3 times the remainder.
The remainder is 40.
The divisor = 3 × 40 = 120
We know that Dividend = Divisor × Quotient + Remainder.
According to the question,
Divisor = 15 times the quotient
⇒ 120 = 15 × quotient
⇒ Quotient = 8
Dividend = 120 × 8 + 40
⇒ Dividend = 960 + 40 = 1000.
Hence, the correct answer is 1000.
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