2 Views

Question : Directions: Which two numbers (NOT digits) should be interchanged to make the following equation mathematically correct?
8 ÷ 2 × 6 − 11 + 5 = 15

Option 1: 2 and 8

Option 2: 5 and 6

Option 3: 2 and 6

Option 4: 6 and 11


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 5 and 6


Solution : Given:
8 ÷ 2 × 6 − 11 + 5 = 15

Let's check each option –
First Option: 2 and 8
On interchanging the numbers, we get –
2 ÷ 8 × 6 − 11 + 5 = 15
On solving the L.H.S. of the equation –
= 2 ÷ 8 × 6 − 11 + 5
= 1.5 − 11 + 5
= –4.5 ≠ 15
Second Option: 5 and 6
On interchanging the numbers, we get –
8 ÷ 2 × 5 − 11 + 6 = 15
On solving the L.H.S. of the equation –
= 8 ÷ 2 × 5 − 11 + 6
= 4 × 5 − 11 + 6
= 20 − 11 + 6
= 15
Third Option: 2 and 6
On interchanging the numbers, we get –
8 ÷ 6 × 2 − 11 + 5 = 15
On solving the L.H.S. of the equation –
= 8 ÷ 6 × 2 − 11 + 5
= 2.67 − 11 + 5
= –3.33 ≠ 15
Fourth Option: 6 and 11
On interchanging the numbers, we get –
8 ÷ 2 × 11 − 6 + 5 = 15
On solving the L.H.S. of the equation –
= 8 ÷ 2 × 11 − 6 + 5
= 4 × 11 − 6 + 5
= 44 − 6 + 5
= 43 ≠ 15

So, only the second option satisfies the equation. Hence, the second 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
GRE ® Registrations 2024
Apply
Apply for GRE® Test now & save 10% with ApplyShop Gift Card | World's most used Admission Test for Graduate & Professional Schools
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