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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

106 × 106 − 94 × 94 = ? 106 × 106 − 94 × 94 = ? Explanation

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

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

A

2400

✓

B

2000

C

1904

D

1906

Correct Answerसही उत्तर

A. 2400

Explanationव्याख्या

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

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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

217 × 217 + 183 × 183 = ? 217 × 217 + 183 × 183 = ? Explanationव्याख्या: 217² = 47089 183² = 33489 Therefore, 47089 + 33489 = 80578 A quicker method: 217 = 200+17 183 = 200−17 Therefore, (200+17)² + (200−17)² Using: (a+b)²+(a−b)² = 2(a²+b²) = 2(200² + 17²) = 2(40000+289) = 2×40289 = 80578Same 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

1008 × 992 = ? 1008 × 992 = ? Explanationव्याख्या: 1008 = 1000+8 992 = 1000−8 Using: (a+b)(a−b)=a²−b² 1008×992 = 1000² − 8² = 1000000 − 64 = 999936Same topic · Same subject · Same exam

1499 × 1499 = ? 1499 × 1499 = ? Explanationव्याख्या: 1499² = (1500−1)² Using: (a−b)² = a²−2ab+b² = 1500² − 2×1500×1 + 1 = 2250000 − 3000 + 1 = 2247001Same topic · Same subject · Same exam

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