Question

10 / 64 Let y 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 ? (1) 11 2) 144 (3) 15 (4) 17 ECBE​

Answer 1

Answer:

Step-by-step explanation:

(4) 17

The sum of digits of x is 17 .

Explanation:

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

To find x , we first find LCM of 8, 12, 20, 28, 35.

Here , LCM = Least common multiple

8 = 2 x 2 x 2

12 = 2 x 2  x 3

20= 2 x 2  x 5

28 =2 x 2  x7

35 = 5 x 7

LCM of 8, 12, 20, 28, 35=  

As per given ,

x = LCM (8, 12, 20, 28, 35)+5

∴ x = 840+5 = 845

The sum of digits of x = 8+4+5=17

Hence, the correct answer is 4) 17 .

# Learn more :

Let x be a least number which when divided by 21, 33,35 and 55 leaves a remainder of 3. But is exactly divisible by 67

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