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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

469157 × 9999 = ? 469157 × 9999 = ? Explanation

व्याख्या: 9999 = 10000 − 1 Therefore, 469157 × 9999 = 469157 × (10000−1) = 4,691,570,000 − 469,157 = 4,691,100,843 Therefore, Answer = 4691100843

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

A

4586970843

B

4686970743

C

4691100843

✓

D

584649125

Correct Answerसही उत्तर

C. 4691100843

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

106 × 106 + 94 × 94 = ? 106 × 106 + 94 × 94 = ? Explanationव्याख्या: 106 = 100+6 94 = 100−6 Using: (a+b)²+(a−b)² = 2(a²+b²) Therefore, 106² + 94² = 2(100² + 6²) = 2(10000+36) = 2×10036 = 20072Same 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

935421 × 625 = ? 935421 × 625 = ? Explanation 16 Therefore, 935421 × 625 = 935421 × 10000 16 First: 935421 ÷ 16 = 58463.8125 Then:व्याख्या: We know: 625 = 5⁴ = 10000Same topic · Same subject · Same exam

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

ExplanationThe unit digit in (584 × 428 × 667 × 213) is: (584 × 428 × 667 × 213) का इकाई अंक क्या है? व्याख्या: Only unit digits are required: 4 × 8 × 7 × 3 4 × 8 = 32 → unit digit 2 2 × 7 = 14 → unit digit 4 4 × 3 = 12 → unit digit 2 Therefore, answer = 2.Same topic · Same subject · Same exam

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