10 Views

Question : Directions: Which two numbers, from amongst the given options, should be interchanged to make the given equation correct?
18 + (12 x 6) + (63 ÷ 7) x 4 + (27) – 11 = 112

Option 1: 18 and 11

Option 2: 12 and 4

Option 3: 6 and 4

Option 4: 18 and 12


Team Careers360 25th Jan, 2024
Answer (1)
Team Careers360 27th Jan, 2024

Correct Answer: 6 and 4


Solution : Given:
18 + (12 x 6) + (63 ÷ 7) x 4 + (27) – 11 = 112

Interchange the numbers given in the options one by one with the original numbers in the given equation.

First option: 18 and 11
18 + (12 x 6) + (63 ÷ 7) x 4 + (27) – 11 = 112
⇒ 11 + (12 x 6) + (63 ÷ 7) x 4 + (27) – 18 = 112
= 11 + 72 + 9 x 4 + 3 – 18 = 112
= 11 + 72 + 36 + 3 – 18 = 112
= 122 – 18 = 104 ≠ 112
Second option: 12 and 4
18 + (12 x 6) + (63 ÷ 7) x 4 + (27) – 11 = 112
⇒ 18 + (4 x 6) + (63 ÷ 7) x 12 + (27) – 11 = 112
=18 + 24 + 9 x 12 + 3 – 11 = 112
=18 + 24 + 108 + 3 – 11 = 112
=153 – 11 = 142 ≠ 112
Third option: 6 and 4
18 + (12 x 6) + (63 ÷ 7) x 4 + (27) – 11 = 112
⇒ 18 + (12 x 4) + (63 ÷ 7) x 6 + (27) – 11 = 112
=18 + 48 + 9 x 6 + 3 – 11 = 112
=18 + 48 + 54 + 3 – 11 = 112
=123 – 11 = 112 = R.H.S
Fourth option: 18 and 12
18 + (12 x 6) + (63 ÷ 7) x 4 + (27) – 11 = 112
⇒ 12 + (18 x 6) + (63 ÷ 7) x 4 + (27) – 11 = 112
= 12 + 108 + 9 x 4 + 3 – 11 = 112
= 12 + 108 + 36 + 3 – 11 = 112
= 159 – 11 = 148 ≠ 112

So, only the third option satisfies the R.H.S. of the given 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