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 ?
(1) 11
(2) 14
(3) 15
(4) 17
​

Answer 1

Answer:

Answer is 845

Step-by-step explanation:

LCM - Least Common Multiple for all the number is firstly calculated-

LCM for each number is -

8 = 2 \times 2 \times 28=2×2×2

12 = 2 \times 2 \times 312=2×2×3

20 = 2 \times 2 \times 520=2×2×5

28 = 2 \times 2 \times 728=2×2×7

35 = 5 \times 735=5×7

Taking the Common factors, we get -

LCM = 2 \times 2 \times 2 \times 3 \times 5 \times 7 = 840LCM=2×2×2×3×5×7=840

With the addition of 5 in the LCM we get the Answer as 845, as desired number.

Answer 2

Answer:15...............