What is the remainder when 7-77-777-7777- till 100 terms is divided by 8 -

The correct option is D 67+7+777… (till 100 terms)/8 = 7/8+77/8+777/8… (till 100 terms) 7+5+1+1+1… (till 100 terms)/8 = 7+5+98/8=6/8 Hence, remainder = 6 ...

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Quantitative Aptitude

Divisibility Rule for Composite Numbers

What is the r...

Question

What is the remainder when $7 + 77 + 777 + 7777 + \dots$ (till 100 terms) is divided by 8?

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Solution

The correct option is C 6
$\frac{7 + 7 + 777 \dots (t i l l 100 t e r m s)}{8} = \frac{7}{8} + \frac{77}{8} + \frac{777}{8} \dots (t i l l 100 t e r m s) \frac{7 + 5 + 1 + 1 + 1 \dots (t i l l 100 t e r m s)}{8} = \frac{7 + 5 + 98}{8} = \frac{6}{8}$
Hence, remainder = 6

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What is the remainder when 7+77+777+7777+… (till 100 terms) is divided by 8?

The correct option is C 67+7+777…(till 100 terms)8=78+778+7778…(till 100 terms)7+5+1+1+1…(till 100 terms)8=7+5+988=68 Hence, remainder = 6

What is the remainder when $7 + 77 + 777 + 7777 + \dots$ (till 100 terms) is divided by 8?

The correct option is C 6
$\frac{7 + 7 + 777 \dots (t i l l 100 t e r m s)}{8} = \frac{7}{8} + \frac{77}{8} + \frac{777}{8} \dots (t i l l 100 t e r m s) \frac{7 + 5 + 1 + 1 + 1 \dots (t i l l 100 t e r m s)}{8} = \frac{7 + 5 + 98}{8} = \frac{6}{8}$
Hence, remainder = 6