What is the greatest four digit number which on being divided by 6 7 and 8 leaves 4 5 and 6 as remai...........

Quantitative Aptitude (CGL) Number System

What is the greatest four-digit number which on being divided by 6, 7 and 8 leaves 4, 5 and 6 as remainders, respectively?

This questions was previously asked in

SSC CGL 18th April 2022 Shift-2

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9910

9920

9921

9912

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Explanation:

Correct Option is 1: 9910

Greatest four-digit number = 9999
LCM of 6, 7, and 8 = 168
Common remainder = (6-4) = (7-5)=(8-6)=2
We will find the remainder for the division of 9999 by 168
⇒ Remainder = 87
Greatest four-digit number = 9999-87 -2 = 9910
The greatest four-digit number is 9910 which on being divided by 6, 7, and 8 leaves 4, 5, and 6 as remainders respectively.