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Question 51
x is the greatest number by which, when 2460, 2633 and 2806 are divided, the remainder in each case is the same. What is the sum of digits of x?
Solution
As given in the question, theĀ remainder is the same in each. So (2633-2460),Ā (2806-2460) andĀ (2806-2633) should be completely divisible by 'x'.
(2633-2460) = 173
(2806-2460) =Ā 346
(2806-2633) = 173
As we know thatĀ 173 is a prime number. So the HCF of (173, 346 andĀ 173) will beĀ 173.
Hence x = 173
Sum of digits of x =Ā 1+7+3
= 11
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