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A number when divided by 10, 9 and 8 separately leaves remainders 9, 8 and 7 respectively. What is the least of such numbers?
Question

A number when divided by 10, 9 and 8 separately leaves remainders 9, 8 and 7 respectively. What is the least of such numbers?

A.

1359

B.

359

C.

719

D.

353

Correct option is B

Given:
The number leaves a remainder of 9 when divided by 10, 8 when divided by 9, and 7 when divided by 8.

Formula Used:

The number can be written in the form:
x = LCM(10, 9, 8) - 1

Solution:

Here, 10 – 9 = 9 – 8 = 8 – 7 = 1
LCM of 10, 9, and 8 is 360. Therefore, the least number is:
x = 360 - 1 = 359

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