20 Views

Question : Directions: Which two numbers (not digits) should be interchanged to make the given equation correct?
(18 × 2) – 24 + 10 × 160 ÷ 16 + (10 × 4) = 170

Option 1: 2 and 24

Option 2: 2 and 4

Option 3: 24 and 18

Option 4: 16 and 18


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 12th Jan, 2024

Correct Answer: 24 and 18


Solution : Given:
(18 × 2) – 24 + 10 × 160 ÷ 16 + (10 × 4) = 170

Let's check the options –
First option: 2 and 24
⇒ (18 × 24) – 2 + 10 × 160 ÷ 16 + (10 × 4) = 170
432 – 2 + 10 × 10 + 40 = 170
432 – 2 + 100 + 40 = 170
430 + 140 = 170
570 ≠ 170
Second option: 2 and 4
⇒ (18 × 4) – 24 + 10 × 160 ÷ 16 + (10 × 2) = 170
72 – 24 + 10 × 10 + 20 = 170
72 – 24 + 100 + 20
48 + 120 = 170
168 ≠ 170
Third option: 24 and 18
⇒ (24 × 2) – 18 + 10 × 160 ÷ 16 + (10 × 4) = 170
48 – 18 + 10 × 10 + 40 = 170
48 – 18 + 100 + 40 = 170
170 = 170
Fourth option: 16 and 18
⇒(16 × 2) – 24 + 10 × 160 ÷ 18 + (10 × 4) = 170
32 – 24 + 1600 ÷ 18 + 40 = 170
32 – 24 + 88.88 + 40 = 170
8 + 88.8 + 40 = 170
136.88 ≠ 170

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

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