Two dice and are rolled. Let numbers obtained on and be and respectively. If the variance of is , where and are co-prime, then the sum of the positive divisor of is equal to

48 Explanation: Step 1: Variables ko samajhna Maana dice par aane wala number hai aur dice par aane wala number hai. Hame nikalna hai. Kyunki dono dice independent hain, isliye: Step 2: Ek single die ka Variance nikalna Ek fair die ( ) ke liye: Mean ( ): : Variance ( ): Step 3: calculate karna Dono dice identical hain, toh . Isse simplify (lowest terms) karne par: Yahan aur co-prime hain. Step 4: ke divisors ka sum Hame ke positive divisors ka sum nikalna hai. ke divisors hain: . Sum of divisors Sahi Answer: (3) 48

How do I solve JEE 2023 Mathematics questions?

Practice JEE 2023 Mathematics previous year questions with step-by-step solutions on Mathem Solvex. Each question includes a detailed explanation and video solution to help you master the concept quickly.

What is the difficulty level of JEE Mathematics questions?

JEE Mathematics questions range from moderate to advanced difficulty. Consistent practice with official previous year papers and topic-wise drills on Mathem Solvex is the most effective preparation strategy.

Are JEE previous year papers available for free?

Yes. Mathem Solvex provides free access to JEE previous year question papers and topic-wise PDFs. You can download them or attempt them as timed live mock tests directly on the platform.

JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

Two dice $A$ and $B$ are rolled. Let numbers obtained on $A$ and $B$ be $\alpha$ and $\beta$ respectively. If the variance of $\alpha - \beta$ is $\frac{p}{q}$ , where $p$ and $q$ are co-prime, then the sum of the positive divisor of $p$ is equal to

JEE 2023 — Mathematics PYQ

Choose the correct answer:

Explanation

Step 1: Variables ko samajhna

Step 2: Ek single die ka Variance nikalna

Step 3: $\text{Var}(\alpha - \beta)$ calculate karna

Step 4: $p$ ke divisors ka sum

Explanation

Step 1: Variables ko samajhna

Step 2: Ek single die ka Variance nikalna

Step 3: $\text{Var}(\alpha - \beta)$ calculate karna

Step 4: $p$ ke divisors ka sum