Find the largest number, which exactly divides every number of the form (n3 - n) (n - 2) where n is a natural number greater than 2.
A. 6
B. 12
C. 24
D. 48
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & \Rightarrow \left( {{n^3} - n} \right)\left( {n - 2} \right){\text{put n = 3}} \cr & \Rightarrow \left( {{3^3} - 3} \right)\left( {3 - 2} \right) \cr & \Rightarrow \left( {27 - 3} \right) \times 1 \cr & \Rightarrow 24 \cr & {\text{It is divisible by }}24 \cr} $$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