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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Question : In a division sum, the divisor is 10 times the quotient and four times the remainder. What is the dividend if the remainder is 45?
Option 1: 4123
Option 2: 3285
Option 3: 2895
Option 4: 5412
Question : In a division sum, the divisor is 13 times the quotient and 6 times the remainder. If the remainder is 39, the dividend is:
Option 1: 4240
Option 2: 4576
Option 3: 4251
Option 4: 4800
Question : In a division sum, the divisor is 10 times the quotient 'q' and five times the remainder 'r '. If r = 46, the dividend will be:
Option 1: 5042
Option 2: 5328
Option 3: 5336
Option 4: 4276
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
Question : In part one, while solving a question, Suhas accidentally took a number as a dividend which was 10% less than the original dividend. He also mistakenly took as divisor a number that was 20% less than the original divisor. If the correct quotient of the original question of division was 24 and the remainder was 0, then what quotient did Suhas obtain, assuming there was no error in his calculations?
Option 1: 27
Option 2: 21.6
Option 3: 26.4
Option 4: 30
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