NIFT UG 2011 Question Paper with solutions

Question : 28 of 150

Marks: +1, -0

After the division of a number successively by 3, 4 and 7, the remainders obtained are 2,1 and 4 respectively. What will be the remainder if 84 divide the same number?

Validate

Solution:

∴z=7×1+4=11

y=4z+1=4×11+1=45

x=3y+2=3×45+2=137

Hence when 137 divided by 84 gives 53 as remainder.

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