Question
A number when divided by 6 leaves a remainder 3. When the square of the number is divided by 6, the remainder is 3.
Answer: Option A
:
A
Let the number be x
Given: x=6q+3 where q is a whole number.
Squaring both sides,
x2=(6q+3)2
⇒ x2=36q2+36q+9
⇒ x2=6(6q2+6q+1)+3
∴ When x2 is divided by 6, then the remainder is 3.
Was this answer helpful ?
:
A
Let the number be x
Given: x=6q+3 where q is a whole number.
Squaring both sides,
x2=(6q+3)2
⇒ x2=36q2+36q+9
⇒ x2=6(6q2+6q+1)+3
∴ When x2 is divided by 6, then the remainder is 3.
Was this answer helpful ?
More Questions on This Topic :
Latest Videos
Latest Test Papers
Submit Solution