The sum of four consecutive even numbers is 100. What is the sum of the squares of these numbers?

A 2430
B 2484
C 2520
D 2655
Answer & Explanation
Option: [C]

Let the four consecutive even numbers be (x-2), x, (x+2) and (x+4) respectively.

Then, (x-2)+x+(x+2)+(x+4) = 100

4x + 4 = 100

x = 24

Hence the numbers are 22, 24, 26 and 26

The sum of their squares

= 222 + 242 + 262 + 282

= 2520

Random GK Questions

A proteins
B fats
C saturated fatty acids
D unsaturated fatty acids

View Answer

A Lala Lajpat Rai
B Bal Gangadhar Tilak
C Agarkara
D Aurodindo Ghosh

View Answer

A Doda Betta
B Makurti
C Anamudi
D None of these

View Answer

A Active volcanoes
B Instinct volcanoes
C Dormant volcanoes
D Extinct volcanoes

View Answer

A First Five Year Plan (1951-56)
B Second Five Year Plan (1956-61)
C Third Five Year Plan (1961-66)
D Fourth Five Year Plan (1966-71)

View Answer

A Babar and the Afghans
B Muhammad Ghori and Jai Chand
C Ahmad Shah Durani and the Marathas
D Aurangzeb and Dara Shikoh

View Answer

Your Valuable Comments Please...

Important EBooks for Competitive Exams