28 Views

Question : Directions: Which two numbers and two signs should be interchanged in the following equation to make it correct?
18 – 6 + 11 × 5 + 18 = 113

Option 1: 6 and 5, + and ×

Option 2: 18 and 5, + and ×

Option 3: 6 and 5, – and ×

Option 4: 18 and 5, – and ×


Team Careers360 25th Jan, 2024
Answer (1)
Team Careers360 26th Jan, 2024

Correct Answer: 6 and 5, – and ×


Solution : Given:
18 – 6 + 11 × 5 + 18 = 113

Replace the symbols and numbers given in the equation with the assigned symbols and numbers in the options one by one –
First option: 6 and 5, + and ×
⇒ 18 – 5 × 11 + 6 × 18 = 113
Solving the L.H.S of the equation –
= 18 – 5 × 11 + 6 × 18
= 18 – 55 + 108
= 71 ≠ 113
Second option: 18 and 5, + and ×
⇒ 5 – 6 × 11 + 18 × 5 = 113
Solving the L.H.S of the equation –
= 5 – 6 × 11 + 18 × 5
= 5 – 66 + 90
= 95 – 66
= 29 ≠ 113
Third option: 6 and 5, – and ×
⇒ 18 × 5 + 11 – 6 + 18 = 113
Solving the L.H.S of the equation –
= 18 × 5 + 11 – 6 + 18
= 90 + 11 – 6 + 18
= 119 – 6
= 113
Fourth option: 18 and 5, – and ×
⇒ 5 × 6 + 11 – 18 + 5 = 113
Solving the L.H.S of the equation –
= 5 × 6 + 11 – 18 + 5
= 30 + 11 – 18 + 5
= 46 – 18
= 28 ≠ 113

So, only the third option satisfies the equation. Hence, the third option is correct.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books