Question : If the number p is 5 more than q and the sum of the square of p and q is 55, then the product of p and q is:
Option 1: 10
Option 2: –10
Option 3: 15
Option 4: –15
Answer (1)
21st Jan, 2024
Correct Answer: 15
Solution :
Given: p = q + 5
⇒ p – q = 5
Also, p
2
+ q
2
= 55
⇒ p
2
+ q
2
– 2pq + 2pq = 55
⇒ (p – q)
2
+ 2pq = 55
⇒ 25 + 2pq = 55
⇒ 2pq = 30
$\therefore$ pq = 15
Hence, the correct answer is 15.
Comments (0)
Related Questions
Know More about
Staff Selection Commission Multi Tasking ...
Answer Key | Cutoff | Selection Process | Preparation Tips | Eligibility | Application | Exam Pattern
Get Updates Brochure
Thank You!
Your Staff Selection Commission Multi Tasking Staff Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Admit Card Date:
21 Nov, 2024
- 6 Dec, 2024
Mains Exam
Exam Date:
14 Dec, 2024
- 14 Dec, 2024
Exam Date:
19 Dec, 2024
- 29 Dec, 2024
Tier II
Exam Date:
18 Jan, 2025
- 20 Jan, 2025
Exam Date:
4 Feb, 2025
- 25 Feb, 2025
