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Quantitative Aptitude

HCF and LCM

Find the smal...

Question

Find the smallest five digit number which when divided by 4,5,6,and 7 leaves remainders of 2,3,4 and 5 respectively?

A

96570

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B

96600

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C

10078

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D

10080

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Solution

The correct option is C 10078
LCM of (4,5,6,7) is 420.
Negative remainder = -2
So, the number should be of the form 420 K - 2.
10000 when divided by 420, the remainder is 340.
So, the required number = 10000 + 420 - 340 - 2 = 10078

Alternate Method:
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