SSC CHSL 19 Apr 2021 Shift 3 Paper

Section: Quantitative Aptitude

Question : 72 of 100

Marks: +1, -0

When a number

M

is divided by 7 , the remainder is 6 . What is the remainder if the square of

M

is divided by 7 ?

Solution:

Let

M=7 k+6

∴ \;\; M^{2}=(7 k+6)^{2}

\;\; =(49 k^{2}+36+84 k)

\;\; =[7(7 k^{2}+12)+7 × 5]+1

If it is divided by 7 , the remainder will be

1 .

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