Question : The greatest number which when divides 456 and 553 leaves the remainder as 6 and 3, respectively is:
Option 1: 5
Option 2: 50
Option 3: 10
Option 4: 30
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Correct Answer: 50
Solution : Given: The greatest number which when divides 456 and 553 leaves the remainder as 6 and 3, respectively. The number will divide (456 – 6) = 450 and (553 – 3) = 550 completely. Now the greatest number that will divide 450 and 550 completely is the HCF of 450 and 550. $\therefore$ The HCF of 450 and 550 is 50. Hence, the correct answer is 50.
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Question : What is the greatest number which divides 784 and 857 and leaves the remainder 4 and 2, respectively?
Option 1: 3
Option 2: 5
Option 3: 30
Option 4: 15
Question : A number, when divided by 80, leaves a remainder of 20. What is the remainder when the same number is divided by 16?
Option 1: 2
Option 2: 4
Option 3: 6
Option 4: 8
Question : What is the greatest four-digit number which when divided by 3 and 4 leaves remainder 2 in each case?
Option 1: 9994
Option 2: 9996
Option 3: 9998
Option 4: 9995
Question : What is the greatest number which, on dividing 342 and 480, leaves remainders of 6 and 4 respectively?
Option 1: 14
Option 3: 7
Option 4: 28
Question : When N is divided by 6, the remainder is 4. When 2N is divided by 6, the remainder is:
Option 2: 0
Option 3: 3
Option 4: 1
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