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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

12846 × 593 + 12846 × 407 = ? 12846 × 593 + 12846 × 407 = ? Explanation

व्याख्या: Take 12846 common: 12846×593 + 12846×407 = 12846(593+407) = 12846 × 1000 = 12846000

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

A

12846000

✓

B

14203706

C

24038606

D

24064000

Correct Answerसही उत्तर

A. 12846000

Explanationव्याख्या

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

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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

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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

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

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