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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

1008 × 992 = ? 1008 × 992 = ? Explanation

व्याख्या: 1008 = 1000+8 992 = 1000−8 Using: (a+b)(a−b)=a²−b² 1008×992 = 1000² − 8² = 1000000 − 64 = 999936

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

A

990936

B

999816

C

969836

D

999936

✓

Correct Answerसही उत्तर

D. 999936

Explanationव्याख्या

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

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1014 × 986 = ? 1014 × 986 = ? Explanationव्याख्या: 1014 = 1000 + 14 986 = 1000 − 14 Using: (a+b)(a−b) = a²−b² 1014 × 986 = 1000² − 14² = 1000000 − 196 = 999804Same topic · Same subject · Same exam

1024 × 976 = ? 1024 × 976 = ? Explanationव्याख्या: 1024 = 1000 + 24 976 = 1000 − 24 Therefore, 1024 × 976 = 1000² − 24² = 1000000 − 576 = 999424Same topic · Same subject · Same exam

186 × 186 + 136 × 136 − 2 × 186 × 136 = ? 186 × 186 + 136 × 136 − 2 × 186 × 136 = ? Explanationव्याख्या: The expression is: 186² + 136² − 2×186×136 Using: a²+b²−2ab = (a−b)² = (186−136)² = 50² = 2500Same topic · Same subject · Same exam

397 × 397 + 103 × 103 + 2 × 397 × 103 = ? 397 × 397 + 103 × 103 + 2 × 397 × 103 = ? Explanationव्याख्या: The expression is: 397² + 103² + 2×397×103 Using: a²+b²+2ab = (a+b)² = (397+103)² = 500² = 250000Same topic · Same subject · Same exam

106 × 106 − 94 × 94 = ? 106 × 106 − 94 × 94 = ? Explanationव्याख्या: 106² − 94² Using: a²−b² = (a−b)(a+b) = (106−94)(106+94) = 12 × 200 = 2400Same 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

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