Which is the largest six digit number which when divided by 12 15 20 24 and 30 leaves the remainders...........

Quantitative Aptitude (CPO) Number System

Which is the largest six digit number, which when divided by 12, 15, 20, 24 and 30, leaves the remainders 8, 11, 16, 20 and 26

respectively.

This questions was previously asked in

SSC CPO 9th Dec 2019 Shift-1

View All SSCCPO Previous Year Papers

999956

999960

999964

999982

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Explanation:

The LCM of 12, 15 20,24, 30 = 120
the greatest of 6 digit = 999999
Dividing 999999 by 120 we get 39 as the remainder
Hence the 6 digit number divisible by 120 is (999999-39)
= 999960
Since 12-8=4 , 15-11 = 4, 20-16=4, 24-20= 4, 30-26 = 4
then reminder is each case is =4 less then the divior
Hence Requried number
999960-4 = 999956