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

Question language / प्रश्न भाषा

3625 × ? = 1450 3625 × ? = 1450 Explanation 3625 Divide numerator and denominator by 725: 1450 ÷ 725 = 2 3625 ÷ 725 = 5 Therefore, x = 2 5 Multiplication Tricks

व्याख्या: 3625x = 1450 x = 1450

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

A

1/3

B

2/5

✓

C

1/5

D

4 5 E. None of theseइनमें से कोई नहीं

Correct Answerसही उत्तर

B. 2/5

Explanationव्याख्या

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

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[(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

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

Which one of the following will divide (3²⁵ + 3²⁶ + 3²⁷ + 3²⁸) completely? Explanation Therefore, the expression contains: 2 × 3 × 5 = 30 Hence it is divisible by 30.निम्नलिखित में से कौन (3²⁵ + 3²⁶ + 3²⁷ + 3²⁸) को पूर्णतः विभाजित करेगा? व्याख्या: Take 3²⁵ common: 3²⁵ + 3²⁶ + 3²⁷ + 3²⁸ = 3²⁵(1 + 3 + 9 + 27) = 3²⁵ × 40 Now, 40 = 2³ × 5 And 3²⁵ contains factor 3.Same topic · Same subject · Same exam

Which one of the following will divide (4⁶¹ + 4⁶² + 4⁶³ + 4⁶⁴) completely? Explanation Therefore, the complete expression contains both 2 and 5. 2 × 5 = 10 Hence it is divisible by 10.निम्नलिखित में से कौन (4⁶¹ + 4⁶² + 4⁶³ + 4⁶⁴) को पूर्णतः विभाजित करेगा? व्याख्या: Take 4⁶¹ common: 4⁶¹ + 4⁶² + 4⁶³ + 4⁶⁴ = 4⁶¹(1 + 4 + 4² + 4³) = 4⁶¹(1 + 4 + 16 + 64) = 4⁶¹ × 85 Now, 85 = 5 × 17 Also, 4⁶¹ contains factor 2.Same topic · Same subject · Same exam

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: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

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