Question : A number, when divided by 6, leaves a remainder of 3. When the square of the same number is divided by 6, the remainder is:
Option 1: 0
Option 2: 2
Option 3: 1
Option 4: 3
Latest: SSC CGL Tier 1 Result 2024 Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: 3
Solution : Let the number be $x$. Dividend = Quotient × Divisor + Remainder When divided by 6, $x$ leaves a remainder of 3. Let the quotient be $q$. Then, $x=6q+3$ Now, squaring both sides we get, $x^2=(6q+3)^2$ ⇒ $x^2=36q^2+36q+9$ ⇒ $x^2=6(6q^2+6q+1)+3$ Thus, $x^2$ divided by 6 leaves 3 as a remainder. Hence, the correct answer is 3.
Candidates can download this ebook to know all about SSC CGL.
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Question : A number when divided by 7 leaves a remainder of 4. If the square of the same number is divided by 7, then what is the remainder?
Question : A number when divided by 221, leaves a remainder of 30. If the same number is divided by 13, the remainder will be:
Question : A number $n$ when divided by 6, leaves a remainder of 3. What will be the remainder when $\left(n^2+5 n+8\right)$ is divided by 6?
Question : When a number is divided by 45, the remainder is 21. What will be the remainder when the number is divided by 15?
Question : M is the largest 4-digit number which, when divided by 4, 5, 6, and 7, leaves the remainder as 2, 3, 4, and 5, respectively. What will be the remainder when M is divided by 9?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile