Question

Let x be the least number which when divided by 8,12,20,28,35 leaves a remainder 5 in each case.what is the sum of digits of x

Answer 1

17 is Sum of digit of x  if  x be the least number which when divided by 8,12,20,28,35 leaves a remainder 5 in each case

Step-by-step explanation:

x be the least number which when divided by 8,12,20,28,35 leaves a remainder 5

=> x - 5 is Divisible by 8 , 12 , 20 , 28 , 35

Hence x - 5 is LCM of 8 , 12 , 20 , 28 , 35

8 = 2 * 2 * 2

12 = 2 * 2 * 3

20 = 2 * 2 * 5

28 = 2 * 2 * 7

35 = 5 * 7

LCM = 2*2*2 * 3 * 5 * 7

= 840

x - 5 = 840

=> x = 845

Sum of digits of x = 8 + 4 + 5 = 17

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