16 Views

Question : Directions: Which two mathematical signs should be interchanged to make the given equation correct?
(63 × 21) + 8 + 99 × 11 ÷ 16 + (12 × 4) = 158

Option 1: + and –

Option 2: × and +

Option 3: × and –

Option 4: ÷ and ×


Team Careers360 21st Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: ÷ and ×


Solution : Given:
(63 × 21) + 8 + 99 × 11 ÷ 16 + (12 × 4) = 158

Interchange the symbols according to the given options to make the equation correct.
Let's check the options –
First option: + and –
⇒ (63 × 21) – 8 – 99 × 11 ÷ 16 – (12 × 4) = 158
(1323) – 8 – 99 × 11 ÷ 16 – (48) = 158
1323 – 8 – 99 × 0.68 – 48 = 158
1323 – 8 – 67.32 – 48 = 158
1199.68 ≠ 158
Second option: × and +
⇒ (63 + 21) × 8 × 99 + 11 ÷ 16 × (12 + 4) = 158
84 × 8 × 99 + 11 ÷ 16 × 16 = 158
84 × 8 × 99 + 0.6875 × 16 = 158
84 × 8 × 99 + 0.6875 × 16 = 158
66528 + 10.88 = 158
66538.88 ≠ 158
Third option: × and –
⇒(63 – 21) + 8 + 99 – 11 ÷ 16 + (12 – 4) = 158
42 + 8 + 99 – 11 ÷ 16 + 8 = 158
42 + 8 + 99 – 0.68 + 8 = 158
156.32 ≠ 158
Fourth option: ÷ and ×
⇒(63 ÷ 21) + 8 + 99 ÷ 11 × 16 + (12 ÷ 4) = 158
3 + 8 + 9 × 16 + 3 = 158
3 + 8 + 144 + 3 = 158
158 = 158

So, only the fourth option satisfies the given equation. Hence, the fourth 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