2 Views

Question : Directions: Which of the following interchanges of signs would make the given equation correct?
1000 – 448 + 14 ÷ 15 × 2 = 998

Option 1: + and ÷

Option 2: × and ÷

Option 3: – and +

Option 4: ÷ and –


Team Careers360 10th Jan, 2024
Answer (1)
Team Careers360 18th Jan, 2024

Correct Answer: + and ÷


Solution : Given:
1000 – 448 + 14 ÷ 15 × 2 = 998

Let's check the options –
First option: + and ÷
The equation becomes ⇒ 1000 – 448 ÷ 14 + 15 × 2 = 998
Solving the L.H.S. of the equation –
= 1000 – 448 ÷ 14 + 15 × 2
= 1000 – 32 + 30
= 998
Second option: × and ÷
The equation becomes ⇒ 1000 – 448 + 14 × 15 ÷ 2 = 998
Solving the L.H.S. of the equation –
= 1000 – 448 + 14 × 15 ÷ 2
= 1000 – 448 + 14 × 7.5
= 1000 – 448 + 105
= 657 ≠ 998
Third option: – and +
The equation becomes ⇒ 1000 + 448 – 14 ÷ 15 × 2 = 998
Solving the L.H.S. of the equation –
= 1000 + 448 – 14 ÷ 15 × 2
= 1000 + 448 – 0.93 × 2
= 1000 + 448 – 1.87
= 1446.13 ≠ 998
Fourth option: ÷ and –
The equation becomes ⇒ 1000 ÷ 448 + 14 – 15 × 2 = 998
Solving the L.H.S. of the equation –
= 1000 ÷ 448 + 14 – 15 × 2
= 2.23 + 14 – 30
= –13.77 ≠ 998

So, only the first option satisfies the equation. Hence, the first 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