Question : Directions: Which of the following equations will be correct when the signs × and ÷ and the numbers 12 and 9 are interchanged?
Option 1: 12 + 8 × 9 + (24 ÷ 5 + 8) – 7 = 35
Option 2: 9 × 17 + 5 (24 ÷ 9) – 12 = 46
Option 3: 14 ÷ 2 + 10 (12 – 6) × 9 = 37
Option 4: 10 + 2 ÷ 3 + (24 × 9 + 8) – 12 = 17
New: SSC Stenographer Application Form 2024 Released
Don't Miss: Month-wise current affairs
Suggested: Upcoming government exams
Correct Answer: 10 + 2 ÷ 3 + (24 × 9 + 8) – 12 = 17
Solution :
Given:
Interchange × and ÷ and the numbers 12 and 9.
Replace the given symbols and numbers in the options one by one with the original symbols and numbers in the given equation.
First option:
12 + 8 × 9 + (24 ÷ 5 + 8) – 7 = 35
⇒ 9 + 8 ÷ 12 + (24 × 5 + 8) – 7 = 35
= 9 + 0.67 + 128 – 7
= 130.67 ≠ 35
Second option:
9 × 17 + 5 (24 ÷ 9) – 12 = 46
⇒ 12 ÷ 17 + 5 (24 × 12) – 9 = 46
= 0.70 + 5 (288) – 9
= 0.70 + 1440 – 9
= 1440.7 – 9
= 1431.7 ≠ 46
Third option:
14 ÷ 2 + 10 (12 – 6) × 9 = 37
⇒ 14 × 2 + 10 (9 – 6) ÷ 12 = 37
= 28 + 10 (3) ÷ 12
= 28 + 30 ÷ 12
= 28 + 2.5
= 30.5 ≠ 37
Fourth option:
10 + 2 ÷ 3 + (24 × 9 + 8) – 12 = 17
⇒ 10 + 2 × 3 + (24 ÷ 12 + 8) – 9 = 17
= 10 + 6 + (2 + 8) – 9
= 16 + 10 – 9
= 17
Here, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
Related Questions
Know More about
Staff Selection Commission Stenographer ...
Application | Eligibility | Dates | FAQs
Get Updates Brochure
Your Staff Selection Commission Stenographer Grade C & D Exam brochure has been successfully mailed to your registered email id “”.
