SSC Stenographer 2024 PYQ — Question 196

SSC Stenographer - 10/12/2024 (4:30 PM to 6:30 PM) • Reasoning • Q196

The two expressions on either side of the equal sign will have the same value if two numbers on the left-hand side are interchanged and two signs on the right-hand side are interchanged.
What are those two numbers (not digits) and the two signs?
9 × 1 ÷ 3 + 8 – 7 = 12 ÷ 3 + 2 × 33 – 13

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 1 and 3; + and ×

9 × 1 ÷ 3 + 8 – 7 = 12 ÷ 3 + 2 × 33 – 13

After interchanging 1 and 3; + and ×, we get 9 × 3 ÷ 1 + 8 – 7 = 12 ÷ 3 × 2 + 33 – 13

Taking L.H. S.

= 9 × (3 ÷ 1) + 8 – 7

= (9 × 3) + 8 - 7

= (27 + 8) - 7

= 28

Taking R.H. S.

= (12 ÷ 3) × 2 + 33 – 13

= (4 × 2) + 33 – 13

= (8 + 33) – 13

= 41 - 13 

= 28

So, L.H.S. = R.H.S.