SSC CHSL 2023 PYQ — Question 62

SSC CHSL - 17 Aug 2023 - Shift 2 • Quantitative Aptitude • Q62

The value of (2+7×7÷9 of 9+6÷6×24÷4 of 5+7×7÷7−6+4)\left( \frac{2 + 7 × 7 ÷ 9 \ of\ 9 + 6 ÷ 6 × 2}{4 ÷ 4 \ of\ 5 + 7 × 7 ÷ 7 - 6 + 4} \right) is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 186521061865\over2106.

(2 + 7×7 ÷ 9 of 9 + 6 ÷ 6 × 2) ÷ (4 ÷ 4 of 5 + 7×7 ÷ 7 − 6 + 4)

Step 1: Solve numerator

= 2 + (49 ÷ (9×9)) + (6 ÷ 6 × 2)

= 2 + (49 ÷ 81) + 2

= 4 + 49/81

= 373/81

Step 2: Solve denominator

= (4 ÷ (4×5)) + (49 ÷ 7) − 6 + 4

= (4 ÷ 20) + 7 − 6 + 4

= 1/5 + 7 − 6 + 4

= 26/5

Final:

= (373/81) ÷ (26/5)

= (373 × 5) / (81 × 26)

= 1865 / 2106