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
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Correct Answer: 28
Solution : The greatest number on dividing 342 and 480 leaves the remainder 6 and 4 respectively is the HCF of (342 - 6 = 336) and (480 - 4 = 476) 336 = 28 $\times$ 12 476 = 28 $\times$ 17 $\therefore$ HCF (333, 476) is 28. Hence, the correct answer is 28.
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Question : What is the least number which, when divided by 60, 84, and 96, leaves remainders of 28, 52, and 64, respectively?
Option 1: 3318
Option 2: 3360
Option 3: 3392
Option 4: 3328
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 : 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 : If U : V = 6 : 7 and V : W = 21 : 6, then find U : V : W.
Option 1: 6 : 7 : 6
Option 2: 5 : 4 : 3
Option 3: 6 : 14 : 12
Option 4: 6 : 7 : 2
Question : If 2A = 3B = 7C, then what is the value of A : B : C?
Option 1: 3 : 2 : 1
Option 2: 21 : 14 : 6
Option 3: 21 : 7 : 6
Option 4: 14 : 18 : 5
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