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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

(?)² = 351649 (?)² = 351649 Explanation

व्याख्या: Check 593²: 593² = (600−7)² = 600² − 2×600×7 + 7² = 360000 − 8400 + 49 = 351649 Therefore, ? = 593 Algebraic Identities

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

A

433

B

583

C

623

D

593

✓

Correct Answerसही उत्तर

D. 593

Explanationव्याख्या

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

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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

If the unit digit in (549 × 56 × 28* × 684) is 8, then what digit will be there in place of *? We only need unit digits: 549 → 9 56 → 6 28* → * 684 → 4 Therefore, 9 × 6 × * × 4 First, 9 × 6 × 4 = 216 So we need the unit digit of: 216 × * Since 216 ends in 6, we need: 6 × * to end in 8. Check options: 6 × 4 = 24 → unit digit 4 6 × 3 = 18 → unit digit 8 6 × 2 = 12 → unit digit 2 6 × 1 = 6 Therefore, = 3 Divisibility and Remainderयदि (549 × 56 × 28 × 684) का इकाई अंक 8 है, तो * के स्थान पर कौन-सा अंक होगा?* Explanation व्याख्या: Here 28* represents a three-digit number whose unit digit is *.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

[(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

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

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