Quantitative Aptitude Ques 159

Question: $ 999\frac{1}{7}+999\frac{2}{7}+999\frac{3}{7}+999\frac{4}{7}+999\frac{5}{7}+999\frac{6}{7} $ is simplified to

Options:

A) 5997

B) 5979

C) 5994

D) 2997

Show Answer

Answer:

Correct Answer: A

Solution:

  • Expression $ =999\frac{1}{7}+999\frac{2}{7}+….+999\frac{6}{7} $ $ =( 999+\frac{1}{7} )+( 999+\frac{2}{7} )+….+( 999+\frac{6}{7} ) $ $ =(6\times 999)+( \frac{1}{7}+\frac{2}{7}+\frac{3}{7}+….+\frac{6}{7} ) $ $ =5994+( \frac{1+2+3+4+5+6}{7} ) $ $ =5994+\frac{21}{7}=5994+3=5997 $
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