Question

The number of five figures to be added to a number of four fives to obtain the least number of six figures exactly divisible by 357 is

Answer 1

LCM of 2,3,4,5,6 & 7 = 2*2*3*5*7 = 420

Smallest 5 digit number = 10000. However we need to see if it is exactly divisible by 420 or not.

When we divide 10000 by 420 we get quotient as 23 and remainder as 340.

So for the number to be exactly divisible by 420, we need to add 80 on remainder of 320.

So the smallest 5 digit number exactly divisible by 2,3,4,5,6 and 7 would be : 10000+80 = 10080

Answer 2

Answer:

94762

Step-by-step explanation:

1. abcde + 5555 = (least 6 figures divisible by 357) EQ1

2. FIND 6 DIGIT FIGURE

LEAST 6 DIGIT NUMBER = 100000

(100000 / 357) GIVES REMAINDER 40

ORIGINAL NUMBER = 100000 - 40 + 357 = 100317

3. EQ1 abcde = 100317 - 5555

abcde = 94762