Home › Questions › Math › Number System

RailwaysSSCMathNumber SystemMedium

Number System practice question for Railways, SSC. Review the correct answer and explanation, then continue with related practice below.

Question language / प्रश्न भाषा

Question 1 Arrange the fractions 5 9, 4 7, 3 5 and 2 3 in ascending order. 9, 4 7, 3 Explanation 5 9 ≈ 55.55% 4 7 ≈ 57.14% 3 5 = 60% 2 3 ≈ 66.67% Therefore:

भिन्नों 5 5 और 2 3 को आरोही क्रम में व्यवस्थित कीजिए। व्याख्या Convert the fractions into percentages to compare their values easily. भिन्नों के मानों की आसानी से तुलना करने के लिए उन्हें प्रतिशत में बदलें। अतः:

Answer and explanation are free to read — no sign-in required.उत्तर और व्याख्या पढ़ने के लिए साइन-इन आवश्यक नहीं है।

A

3/5, 4/7, 2/3, 5/9

B

5/9, 4/7, 3/5, 2/3

✓

C

2/3, 3/5, 4/7, 5/9

D

4/7, 5/9, 2/3, 3/5

Correct Answerसही उत्तर

B. 5/9, 4/7, 3/5, 2/3

Explanationव्याख्या

Explanation is not available for this older question yet. / इस पुराने प्रश्न की व्याख्या अभी उपलब्ध नहीं है।

Practice More Like This

Vitorr selects questions using the same topic, subject, exam and overlapping concepts—not just database order.

Start 10-Question Related Practice →View All Number System Questions

Which of the following fractions is less than 7 8 and greater than 1 3? Explanation 3 < fraction < 7 8 Check A: 1 4 < 1 3, so incorrect. Check B: 23 24 > 7 8, so incorrect. Check C: 11 12 > 7 8, so incorrect. Check D: Compare 17 24 with 1 3: 17 × 3 = 51 24 × 1 = 24 51 > 24 Therefore, 17 24 > 1 3 Now compare 17 24 with 7 8: 17 × 8 = 136 24 × 7 = 168 136 < 168 Therefore, 17 24 < 7 8 Hence, 1 3 < 17 24 < 7 8 Answer = D Basic Arithmeticनिम्नलिखित में से कौन-सी भिन्न 7 8 से कम और 1 3 से अधिक है? व्याख्या: We need: 1Same topic · Same subject · Same exam

[(946 + 157)² + (946 − 157)²] [(946 × 946) + (157 × 157)] = ? [(946 + 157)² + (946 − 157)²] [(946 × 946) + (157 × 157)] = ? Explanation Therefore, = 2a² + 2b² = 2(a²+b²) The denominator is: a²+b² Therefore, the complete fraction becomes: 2(a²+b²) (a²+b²) Cancel (a²+b²): = 2 Hence, answer = B. 2व्याख्या: Let: a = 946 b = 157 The numerator is: (a+b)² + (a−b)² Expand: (a+b)² = a² + 2ab + b² (a−b)² = a² − 2ab + b² Adding: (a+b)² + (a−b)² = a² + 2ab + b² + a² − 2ab + b² The +2ab and −2ab cancel.Same topic · Same subject · Same exam

{(476 + 424)² − 4 × 476 × 424} = ? {(476 + 424)² − 4 × 476 × 424} = ? Explanationव्याख्या: We know: (a+b)² − 4ab = a² + 2ab + b² − 4ab = a² − 2ab + b² = (a−b)² Therefore, (476+424)² − 4×476×424 = (476−424)² = 52² = 2704Same topic · Same subject · Same exam

(?)² = 351649 (?)² = 351649 Explanationव्याख्या: Check 593²: 593² = (600−7)² = 600² − 2×600×7 + 7² = 360000 − 8400 + 49 = 351649 Therefore, ? = 593 Algebraic IdentitiesSame topic · Same subject · Same exam

5 6 × 2 9 ÷ 4 9 × 6 7 = ? 5 6 × 2 9 ÷ 4 9 × 6 7 = ? Explanation Therefore, 5 6 × 2 9 ÷ 4 9 × 6 7 = 5 6 × 2 9 × 9 4 × 6 7 Cancel 9: = 5 6 × 2 4 × 6 7 Cancel 6: = 5 × 2 (4×7) = 10 28 = 5 14 Now, 5 ÷ 14 = 0.357142... Approximately, = 0.36 Therefore, answer = Dव्याख्या: Division by a fraction means multiplication by its reciprocal.Same topic · Same subject · Same exam

√? = (88 × 42) ÷ 16 √? = (88 × 42) ÷ 16 Explanationव्याख्या: First calculate: 88 × 42 = 3696 Now, 3696 ÷ 16 = 231 Therefore, √? = 231 Squaring both sides: ? = 231² = (230+1)² = 230² + 460 + 1 = 52900 + 461 = 53361Same topic · Same subject · Same exam

Related Quizzes

Continue with quizzes connected to Number System and Math. Sign up is required only when you start a quiz.

Number System Basics Quiz – Types of Numbers, Even-Odd, Prime Numbers & Divisibility RulesOpen quiz →Number System – Divisibility and Remainder Practice QuizOpen quiz →Number System Practice Quiz – 30 QuestionsOpen quiz →UPSC CSAT 2027 Tough Practice Quiz Set 020 – Advanced DI, Mathematics, Probability & Logical ReasoningOpen quiz →

Related Study Material

Number System Complete Notes for SSC & Railway | संख्या पद्धति सम्पूर्ण नोट्सRead study article →NUMBER SYSTEM PRACTICE — 30 QUESTIONSRead study article →Binary Number System and Decimal-Binary Conversion | बाइनरी संख्या एवं रूपांतरणRead study article →