Practice30 Create account

A number leaves remainder 4 when divided by 6. What remainder does its square leave when divided by 6?

Competition practiceNumber System, HCF & LCM

A4
B2
C0
D16

Step-by-Step Solution

Write the number as

6 k + 4

. Its square is

36 k^{2} + 48 k + 16

; the first two terms are multiples of 6 and

16 = 2 \times 6 + 4

, so the remainder is 4.

Answer: A) 4

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Number System, HCF & LCM practice questions

More Number System, HCF & LCM practice

What is the least number that must be added to 7231 to make it exactly divisible by 9?Rationalise the denominator of 1√7 - √5.How many three-digit numbers have all three digits odd?The digits of a two-digit number add up to 11. Reversing the digits increases the number…What is the smallest natural number that leaves remainder 7 on division by 11 and…