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
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Correct Answer: 15
Solution : The number that divides 784 and leaves a remainder of 4 = 784 – 4 = 780 The number that divides 857 and leaves a remainder of 2 = 857 – 2 = 855 The greatest number that divides both 780 and 855 is their highest common factor (HCF). Factors of 780 = 2, 3, 5, 13 Factors of 885 = 3, 3, 5, 9 The HCF of 780 and 855 = 3 × 5 = 15 Hence, the correct answer is 15.
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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
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 : Which of the following is the greatest? 2 : 5, 1 : 2, 8 : 15, 3 : 5
Option 1: 8 : 15
Option 2: 3 : 5
Option 3: 1 : 2
Option 4: 2 : 5
Question : What is the greatest number which, on dividing 342 and 480, leaves remainders of 6 and 4 respectively?
Option 1: 14
Option 2: 4
Option 3: 7
Option 4: 28
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 3: 6
Option 4: 8
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