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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

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 Remainder

यदि (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 *.

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

A

4

B

3

✓

C

2

D

1

Correct Answerसही उत्तर

B. 3

Explanationव्याख्या

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

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Explanation Any even number multiplied by a number ending in 5 ends in 0. Also, (241)⁴⁹¹ ends in 1, which does not change the unit digit. Therefore, Even number × number ending in 5 × number ending in 1 Unit digit = 0What is the unit digit in (3254)¹⁷⁹³ × (415)³¹⁷ × (241)⁴⁹¹? (3254)¹⁷⁹³ × (415)³¹⁷ × (241)⁴⁹¹ का इकाई अंक क्या है? व्याख्या: (3254)¹⁷⁹³ ends in an even digit because its base ends in 4. (415)³¹⁷ always ends in 5.Same 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

Explanation Cycle of 7: 7, 9, 3, 1 764 ÷ 4 = 191 with remainder 0. When remainder is 0, we take the fourth number of the cycle. Therefore, unit digit = 1.The digit in the unit place of (2137)⁷⁶⁴ is: (2137)⁷⁶⁴ का इकाई अंक क्या है? व्याख्या: Only the last digit 7 matters.Same topic · Same subject · Same exam

Explanation Therefore, unit digit = 3. For 3⁵⁸: Cycle = 3, 9, 7, 1 58 ÷ 4 leaves remainder 2. Therefore, unit digit = 9. We need the unit digit of: 7⁹⁵ − 3⁵⁸ At the unit place: 3 − 9 Borrow 10: 13 − 9 = 4 Therefore, unit digit = 4.The unit digit in (7⁹⁵ − 3⁵⁸) is: (7⁹⁵ − 3⁵⁸) का इकाई अंक क्या है? व्याख्या: For 7⁹⁵: Cycle = 7, 9, 3, 1 95 ÷ 4 leaves remainder 3.Same topic · Same subject · Same exam

Explanation Therefore, unit digit of 3⁶⁵ = 3. For 6⁵⁹: Every positive power of 6 ends in 6. Therefore, unit digit = 6. For 7⁷¹: Cycle = 7, 9, 3, 1 71 ÷ 4 leaves remainder 3. Therefore, unit digit = 3. Now, 3 × 6 × 3 = 54 Unit digit = 4The unit digit in (3⁶⁵ × 6⁵⁹ × 7⁷¹) is: (3⁶⁵ × 6⁵⁹ × 7⁷¹) का इकाई अंक क्या है? व्याख्या: For 3⁶⁵: Unit digit cycle of 3 = 3, 9, 7, 1 65 ÷ 4 leaves remainder 1.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

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