WBCS.LIVE practice question

The simplified value of \frac{1}{1000}\left(\frac{1}{5} + 999\frac{494}{495} \times 99\right)\mathrm{is}

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 99
  2. 990
  3. 9900
  4. 99000

Correct answer and explanation

Correct answer: 99

Explanation: āœ… Correct Answer: A) 99 šŸ“š Explanation: The expression inside the brackets can be simplified by recognizing that 999 494/495 is the same as (1000 - 1/495). Multiplying this by 99 gives 99000 - 1/5. When you add the 1/5 from the beginning of the bracket, the 1/5 terms cancel out, leaving only 99000. Dividing 99000 by 1000 gives the final simplified value of 99.