A 4-digit number is selected at random formed by using the digits and (where repetition of digits is not allowed) What is the probability that the number selected is divisible by ? अंकों 0, 1, 2, 3 और 4 का उपयोग करके गठित की गई एक 4- अंकीय संख्या यदृच्छया चुनी जाती है। (जहाँ अंकों की पुनरावृत्ति की अनुमति नहीं है) । चुनी गई संख्या 3 से विभाज्य है , की प्रायिकता क्या है ?

Explanation: 1. Calculate Total Sample Space: A 4-digit number is formed using without repetition. The first digit cannot be (4 choices: ). The remaining three positions can be filled by the remaining 4 digits in ways. Total outcomes . 2. Condition for Divisibility by 3: A number is divisible by if the sum of its digits is divisible by . The sum of all five digits is . Since we are choosing digits, we must exclude one digit ( ) such that is divisible by . If , sum (divisible by ). Digits: . If , sum (divisible by ). Digits: . 3. Counting Favorable Outcomes: Case 1: Digits Total permutations (excluding numbers starting with ). Case 2: Digits Total permutations (excluding numbers starting with ). Total favorable outcomes . 4. Final Probability Calculation: Probability . Simplifying the fraction: . Correc

How do I solve NDA 2026 Mathematics questions?

Practice NDA 2026 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 NDA Mathematics questions?

NDA 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 NDA previous year papers available for free?

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

NDA 2026 — Mathematics PYQ

NDA | Mathematics | 2026

A 4-digit number is selected at random formed by using the digits $0, 1, 2, 3,$ and $4$ (where repetition of digits is not allowed)

What is the probability that the number selected is divisible by $3$ ?

अंकों 0, 1, 2, 3 और 4 का उपयोग करके गठित की गई एक 4-अंकीय संख्या यदृच्छया चुनी जाती है। (जहाँ अंकों की पुनरावृत्ति की अनुमति नहीं है) ।

चुनी गई संख्या 3 से विभाज्य है, की प्रायिकता क्या है ?

Choose the correct answer: