Question
Download Solution PDFSum of two consecutive natural numbers is 31. What is the difference of their squares?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Sum of two consecutive natural numbers is 31.
Calculation:
Let the two consecutive numbers be n and n + 1.
The difference of their squares:
⇒ (n+1)2 - n2 = n2 + 2n + 1 - n2 = 2n + 1
Given that: n + (n + 1) = 31
⇒ 2n + 1 = 31
The difference of their squares is:
2n + 1 = 31
∴ The correct answer is option 2.
Last updated on Apr 10, 2025
-> The Kerala PSC Civil Excise Officer Notification 2025 has bee released (Advt No. 743/2024).
-> Interested candidates can apply online from 31st December 2024 to 29th January 2025.
-> The selection process for the Kerala PSC Civil Excise Officer Recruitment will include an endurance test, followed by physical efficiency test (PET), medical exam, and written test (if applicable).
-> Selected candidates will receive Kerala PSC Civil Excise Officer salary in pay-scale of Rs. 27900 – 63700.