On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?
A. 0
B. 1
C. 2
D. 4
E. None of these
Answer: Option D
Solution(By Examveda Team)
Let the number be x and on dividing x by 5, we get k as quotient and 3 as remainder∴ x = 5k + 3
⇒ x2 = (5k + 3)2
⇒ x2 = (25k2 + 30k + 9)
⇒ x2 = 5 (5k2 + 6k + 1) + 4
∴ On dividing x2 by 5, we get 4 as remainder
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
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