Simplification & Approximation Test 7

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Batch 4 | Govt Exams

Simplification & Approximation Test 7

25 bilingual MCQs from Simplification & Approximation, including 5 fresh LearnAtMyPlace original supplemental questions with detailed solutions. Built for SSC, RRB and banking practice with preserved Hindi, ₹, ×, %, m², cm³ and reasoning symbols.

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25 min

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+1 / -0.25

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Simplification & Approximation | 25 questions

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Preview all 25 questions in Simplification & Approximation Test 7 (no login required)

Simplification & Approximation — Percentage simplification
1. Find 31% of 603. / 603 का 31% ज्ञात करें।
- A. 155.93
- B. 186.93 (Correct)
- C. 217.93
- D. 19.45
Explanation: 31% of 603 = 31/100×603 = 186.93. / 603 का 31% = 31/100×603 = 186.93।
Simplification & Approximation — Algebraic simplification
2. Simplify: 8² - 8². / सरलीकृत करें: 8² - 8²।
- A. 0 (Correct)
- B. 128
- C. 256
- D. 1
Explanation: a²-b²=(a-b)(a+b)=(8-8)(8+8)=0. / a²-b²=(a-b)(a+b)=(8-8)(8+8)=0।
Simplification & Approximation — Series simplification
3. Find the sum of the first 28 natural numbers. / पहली 28 प्राकृतिक संख्याओं का योग ज्ञात करें।
- A. 434
- B. 378
- C. 406 (Correct)
- D. 784
Explanation: Sum = n(n+1)/2 = 28×29/2 = 406. / योग = n(n+1)/2 = 28×29/2 = 406।
Simplification & Approximation — Division simplification
4. Simplify: 105 ÷ 3 + 20. / सरलीकृत करें: 105 ÷ 3 + 20।
- A. 35
- B. 4.57
- C. 58
- D. 55 (Correct)
Explanation: 105÷3=35; result = 35+20 = 55. / 105÷3=35; परिणाम = 35+20 = 55।
Simplification & Approximation — Multiplication division
5. Simplify: 23 × 5 ÷ 4. / सरलीकृत करें: 23 × 5 ÷ 4।
- A. 32.75
- B. 28.75 (Correct)
- C. 24.75
- D. 51.75
Explanation: 23×5=115; divide by 4: result = 28.75. / 23×5=115; 4 से भाग: परिणाम = 28.75।
Simplification & Approximation — Approx/percentage
6. Increase 2106 by 8%. / 2106 में 8% की वृद्धि करें।
- A. 2282.48
- B. 2266.48
- C. 1937.52
- D. 2274.48 (Correct)
Explanation: New value = 2106×(100+8)/100 = 2274.48. / नया मान = 2106×(100+8)/100 = 2274.48।
Simplification & Approximation — Approx/percentage
7. Decrease 1831 by 24%. / 1831 में 24% की कमी करें।
- A. 1367.56
- B. 1415.56
- C. 2270.44
- D. 1391.56 (Correct)
Explanation: New value = 1831×(100-24)/100 = 1391.56. / नया मान = 1831×(100-24)/100 = 1391.56।
Simplification & Approximation — Powers
8. Simplify: 17³ - 5². / सरलीकृत करें: 17³ - 5²।
- A. 4883
- B. 4905
- C. 4938
- D. 4888 (Correct)
Explanation: 17³=4913 and 5²=25; result = 4913-25=4888. / 17³=4913 और 5²=25; परिणाम = 4913-25=4888।
Simplification & Approximation — Approximation
9. Approximate: 102% of 71 + 98% of 41. / लगभग मान ज्ञात करें: 71 का 102% + 41 का 98%।
- A. 118
- B. 108
- C. 113 (Correct)
- D. 112
Explanation: 102% of 71 ≈ 72.42; 98% of 41 ≈ 40.18; approximate total ≈ 113. / 71 का 102% ≈ 72.42; 41 का 98% ≈ 40.18; लगभग कुल ≈ 113।
Simplification & Approximation — Identity
10. Simplify using identity: (9+5)(9-5). / सर्वसमिका से सरलीकृत करें: (9+5)(9-5)।
- A. 106
- B. 196
- C. 16
- D. 56 (Correct)
Explanation: (a+b)(a-b)=a²-b²=81-25=56. / (a+b)(a-b)=a²-b²=81-25=56।
Simplification & Approximation — Missing simplification
11. What will come in place of the question mark: 531 ÷ 11 - 13 = ___ /? के स्थान पर क्या आएगा: 531 ÷ 11 - 13 = ___
- A. 22.27
- B. 48.27
- C. -265.5
- D. 35.27 (Correct)
Explanation: 531÷11=48.27; subtract 13; result = 35.27. / 531÷11=48.27; 13 घटाने पर परिणाम = 35.27।
Simplification & Approximation — BODMAS with square
12. Simplify: (19 + 9 - 6)². / सरलीकृत करें: (19 + 9 - 6)²।
- A. 484 (Correct)
- B. 528
- C. 784
- D. 440
Explanation: First simplify bracket: 19+9-6 = 22; square = 484. / पहले कोष्ठक सरल करें: 19+9-6 = 22; वर्ग = 484।
Simplification & Approximation — BODMAS
13. What will come in place of the question mark? 85 + 20 × 7 = ___ / प्रश्नचिह्न के स्थान पर क्या आएगा? 85 + 20 × 7 = ___
- A. 225 (Correct)
- B. 218
- C. 735
- D. 232
Explanation: Apply BODMAS: 20×7=140; 85+140=225. / BODMAS लगाएँ: 20×7=140; 85+140=225।
Simplification & Approximation — Percentage simplification
14. Find 47% of 811. / 811 का 47% ज्ञात करें।
- A. 428.17
- B. 334.17
- C. 17.26
- D. 381.17 (Correct)
Explanation: 47% of 811 = 47/100×811 = 381.17. / 811 का 47% = 47/100×811 = 381.17।
Simplification & Approximation — Algebraic simplification
15. Simplify: 12² - 14². / सरलीकृत करें: 12² - 14²।
- A. 676
- B. -52 (Correct)
- C. 4
- D. 340
Explanation: a²-b²=(a-b)(a+b)=(12-14)(12+14)=-52. / a²-b²=(a-b)(a+b)=(12-14)(12+14)=-52।
Simplification & Approximation — Series simplification
16. Find the sum of the first 44 natural numbers. / पहली 44 प्राकृतिक संख्याओं का योग ज्ञात करें।
- A. 1034
- B. 1936
- C. 946
- D. 990 (Correct)
Explanation: Sum = n(n+1)/2 = 44×45/2 = 990. / योग = n(n+1)/2 = 44×45/2 = 990।
Simplification & Approximation — Division simplification
17. Simplify: 210 ÷ 10 + 16. / सरलीकृत करें: 210 ÷ 10 + 16।
- A. 21
- B. 37 (Correct)
- C. 8.08
- D. 47
Explanation: 210÷10=21; result = 21+16 = 37. / 210÷10=21; परिणाम = 21+16 = 37।
Simplification & Approximation — Multiplication division
18. Simplify: 21 × 5 ÷ 5. / सरलीकृत करें: 21 × 5 ÷ 5।
- A. 42
- B. 26
- C. 16
- D. 21 (Correct)
Explanation: 21×5=105; divide by 5: result = 21. / 21×5=105; 5 से भाग: परिणाम = 21।
Simplification & Approximation — Approx/percentage
19. Increase 2698 by 9%. / 2698 में 9% की वृद्धि करें।
- A. 2455.18
- B. 2940.82 (Correct)
- C. 2931.82
- D. 2949.82
Explanation: New value = 2698×(100+9)/100 = 2940.82. / नया मान = 2698×(100+9)/100 = 2940.82।
Simplification & Approximation — Approx/percentage
20. Decrease 2295 by 20%. / 2295 में 20% की कमी करें।
- A. 1856
- B. 1836 (Correct)
- C. 1816
- D. 2754
Explanation: New value = 2295×(100-20)/100 = 1836. / नया मान = 2295×(100-20)/100 = 1836।
Simplification & Approximation — Percentage / प्रतिशत
21. 20% of 750 is: / 750 का 20% कितना है?
- A. 140
- B. 150 (Correct)
- C. 160
- D. 170
Explanation: 20% = 20/100, so answer = 150. / प्रतिशत को 100 से भाग देकर मूल संख्या से गुणा करें।
Simplification & Approximation — Profit-Loss / लाभ-हानि
22. An article bought for Rs 850 is sold at 12.5% profit. Find SP. / Rs 850 में खरीदी वस्तु 12.5% लाभ पर बेची गई। SP ज्ञात करें।
- A. Rs 916
- B. Rs 956 (Correct)
- C. Rs 996
- D. Rs 1036
Explanation: SP = CP x (100 + profit%)/100 = 850 x 112.5/100 = Rs 956. / लाभ प्रतिशत जोड़कर विक्रय मूल्य निकालें।
Simplification & Approximation — Time & Work / समय और कार्य
23. A finishes a work in 12 days and B in 18 days. Together they finish in: / A 12 दिन और B 18 दिन में काम पूरा करते हैं। साथ में समय?
- A. 6.2 days
- B. 7.2 days (Correct)
- C. 8.2 days
- D. 9.2 days
Explanation: Combined time = ab/(a+b) = 12 x 18 / 30 = 7.2 days. / संयुक्त कार्य में दरें जोड़ी जाती हैं।
Simplification & Approximation — Speed Conversion / चाल परिवर्तन
24. 108 km/h equals: / 108 किमी/घंटा बराबर है:
- A. 27 m/s
- B. 30 m/s (Correct)
- C. 33 m/s
- D. 35 m/s
Explanation: km/h to m/s conversion uses x 5/18. 108 x 5/18 = 30. / किमी/घंटा को मी/से में बदलने के लिए 5/18 से गुणा करें।
Simplification & Approximation — Simplification / सरलीकरण
25. Simplify: 22 x 14 + 22 - 14. / सरल करें: 22 x 14 + 22 - 14.
- A. 308
- B. 316 (Correct)
- C. 324
- D. 332
Explanation: Apply BODMAS: 308 + 22 - 14 = 316. / पहले गुणा, फिर जोड़-घटाव करें।