If (1012 + 25)2 - (1012 - 25)2 = 10n, then the value of n is :
A. 5
B. 10
C. 14
D. 20
Answer: Option C
Solution(By Examveda Team)
(1012 + 25)2 - (1012 - 25)2= 4 × 1012 × 25
[∵ (a + b)2 - (a - b)2 = 4ab]
= 1012 × 100
= 1012 × 102
= 1014
Hence, n = 14
Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
Join The Discussion