Question : A number, when divided by the sum of 555 and 445, gives two times their difference as the quotient and 30 as the remainder. The number is:
Option 1: 220030
Option 2: 22030
Option 3: 1220
Option 4: 1250
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Correct Answer: 220030
Solution : Given: Divisor = 555 + 445 = 1000; Quotient = 2(555 – 445) = 220; Remainder = 30 We know, Dividend = (Divisor × Quotient) + Remainder ⇒ Dividend = (1000 × 220) + 30 $\therefore$ Dividend = 220030 Hence, the correct answer is 220030.
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Question : Find the least number which when divided by 12, 18, 24, and 30 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.
Option 1: 366
Option 2: 364
Option 3: 384
Option 4: 634
Question : A number when divided by 221, leaves a remainder of 30. If the same number is divided by 13, the remainder will be:
Option 1: 4
Option 2: 3
Option 3: 2
Option 4: 1
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 : A number, when divided by 6, leaves a remainder of 3. When the square of the same number is divided by 6, the remainder is:
Option 1: 0
Option 2: 2
Option 3: 1
Option 4: 3
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