Simplification & Approximation Test 3

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Batch 4 | Govt Exams

Simplification & Approximation Test 3

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 3 (no login required)

Simplification & Approximation — Multiplication division
1. Simplify: 17 × 5 ÷ 3. / सरलीकृत करें: 17 × 5 ÷ 3।
- A. 45.33
- B. 28.33 (Correct)
- C. 25.33
- D. 31.33
Explanation: 17×5=85; divide by 3: result = 28.33. / 17×5=85; 3 से भाग: परिणाम = 28.33।
Simplification & Approximation — Approx/percentage
2. Increase 2554 by 17%. / 2554 में 17% की वृद्धि करें।
- A. 2988.18 (Correct)
- B. 2119.82
- C. 2971.18
- D. 3005.18
Explanation: New value = 2554×(100+17)/100 = 2988.18. / नया मान = 2554×(100+17)/100 = 2988.18।
Simplification & Approximation — Approx/percentage
3. Decrease 2047 by 8%. / 2047 में 8% की कमी करें।
- A. 2210.76
- B. 1875.24
- C. 1891.24
- D. 1883.24 (Correct)
Explanation: New value = 2047×(100-8)/100 = 1883.24. / नया मान = 2047×(100-8)/100 = 1883.24।
Simplification & Approximation — Powers
4. Simplify: 12³ - 9². / सरलीकृत करें: 12³ - 9²।
- A. 1809
- B. 1659
- C. 1638
- D. 1647 (Correct)
Explanation: 12³=1728 and 9²=81; result = 1728-81=1647. / 12³=1728 और 9²=81; परिणाम = 1728-81=1647।
Simplification & Approximation — Approximation
5. Approximate: 102% of 75 + 98% of 25. / लगभग मान ज्ञात करें: 75 का 102% + 25 का 98%।
- A. 100
- B. 101 (Correct)
- C. 106
- D. 96
Explanation: 102% of 75 ≈ 76.50; 98% of 25 ≈ 24.50; approximate total ≈ 101. / 75 का 102% ≈ 76.50; 25 का 98% ≈ 24.50; लगभग कुल ≈ 101।
Simplification & Approximation — Identity
6. Simplify using identity: (3+7)(3-7). / सर्वसमिका से सरलीकृत करें: (3+7)(3-7)।
- A. 16
- B. 100
- C. -40 (Correct)
- D. 58
Explanation: (a+b)(a-b)=a²-b²=9-49=-40. / (a+b)(a-b)=a²-b²=9-49=-40।
Simplification & Approximation — Missing simplification
7. What will come in place of the question mark: 399 ÷ 11 - 17 = ___ /? के स्थान पर क्या आएगा: 399 ÷ 11 - 17 = ___
- A. 2.27
- B. -66.5
- C. 36.27
- D. 19.27 (Correct)
Explanation: 399÷11=36.27; subtract 17; result = 19.27. / 399÷11=36.27; 17 घटाने पर परिणाम = 19.27।
Simplification & Approximation — BODMAS with square
8. Simplify: (23 + 13 - 8)². / सरलीकृत करें: (23 + 13 - 8)²।
- A. 1296
- B. 784 (Correct)
- C. 840
- D. 728
Explanation: First simplify bracket: 23+13-8 = 28; square = 784. / पहले कोष्ठक सरल करें: 23+13-8 = 28; वर्ग = 784।
Simplification & Approximation — BODMAS
9. What will come in place of the question mark? 67 + 28 × 7 = ___ / प्रश्नचिह्न के स्थान पर क्या आएगा? 67 + 28 × 7 = ___
- A. 263 (Correct)
- B. 665
- C. 270
- D. 256
Explanation: Apply BODMAS: 28×7=196; 67+196=263. / BODMAS लगाएँ: 28×7=196; 67+196=263।
Simplification & Approximation — Square root
10. √? = 22. Find?. / √? = 22.? ज्ञात करें।
- A. 484 (Correct)
- B. 528
- C. 22
- D. 440
Explanation: If √? = 22, then? = 22² = 484. / यदि √? = 22, तो? = 22² = 484।
Simplification & Approximation — Percentage simplification
11. Find 31% of 963. / 963 का 31% ज्ञात करें।
- A. 298.53 (Correct)
- B. 267.53
- C. 329.53
- D. 31.06
Explanation: 31% of 963 = 31/100×963 = 298.53. / 963 का 31% = 31/100×963 = 298.53।
Simplification & Approximation — Algebraic simplification
12. Simplify: 12² - 8². / सरलीकृत करें: 12² - 8²।
- A. 400
- B. 208
- C. 80 (Correct)
- D. 16
Explanation: a²-b²=(a-b)(a+b)=(12-8)(12+8)=80. / a²-b²=(a-b)(a+b)=(12-8)(12+8)=80।
Simplification & Approximation — Series simplification
13. Find the sum of the first 38 natural numbers. / पहली 38 प्राकृतिक संख्याओं का योग ज्ञात करें।
- A. 703
- B. 741 (Correct)
- C. 779
- D. 1444
Explanation: Sum = n(n+1)/2 = 38×39/2 = 741. / योग = n(n+1)/2 = 38×39/2 = 741।
Simplification & Approximation — Square identity
14. Simplify: (20+7)². / सरलीकृत करें: (20+7)²।
- A. 729 (Correct)
- B. 749
- C. 449
- D. 722
Explanation: (20+7)² = 27² = 729. / (20+7)² = 27² = 729।
Simplification & Approximation — Division simplification
15. Simplify: 180 ÷ 4 + 20. / सरलीकृत करें: 180 ÷ 4 + 20।
- A. 45
- B. 69
- C. 65 (Correct)
- D. 7.5
Explanation: 180÷4=45; result = 45+20 = 65. / 180÷4=45; परिणाम = 45+20 = 65।
Simplification & Approximation — Square root
16. Find √1296. / √1296 ज्ञात करें।
- A. 38
- B. 37
- C. 35
- D. 36 (Correct)
Explanation: Since 36² = 1296, √1296 = 36. / क्योंकि 36² = 1296, √1296 = 36।
Simplification & Approximation — Multiplication division
17. Simplify: 15 × 5 ÷ 4. / सरलीकृत करें: 15 × 5 ÷ 4।
- A. 33.75
- B. 14.75
- C. 22.75
- D. 18.75 (Correct)
Explanation: 15×5=75; divide by 4: result = 18.75. / 15×5=75; 4 से भाग: परिणाम = 18.75।
Simplification & Approximation — Approx/percentage
18. Increase 1146 by 18%. / 1146 में 18% की वृद्धि करें।
- A. 1334.28
- B. 939.72
- C. 1352.28 (Correct)
- D. 1370.28
Explanation: New value = 1146×(100+18)/100 = 1352.28. / नया मान = 1146×(100+18)/100 = 1352.28।
Simplification & Approximation — Approx/percentage
19. Decrease 1011 by 24%. / 1011 में 24% की कमी करें।
- A. 792.36
- B. 744.36
- C. 768.36 (Correct)
- D. 1253.64
Explanation: New value = 1011×(100-24)/100 = 768.36. / नया मान = 1011×(100-24)/100 = 768.36।
Simplification & Approximation — Powers
20. Simplify: 15³ - 5². / सरलीकृत करें: 15³ - 5²।
- A. 3350 (Correct)
- B. 3400
- C. 3345
- D. 3365
Explanation: 15³=3375 and 5²=25; result = 3375-25=3350. / 15³=3375 और 5²=25; परिणाम = 3375-25=3350।
Simplification & Approximation — Percentage / प्रतिशत
21. 12% of 400 is: / 400 का 12% कितना है?
- A. 38
- B. 48 (Correct)
- C. 58
- D. 68
Explanation: 12% = 12/100, so answer = 48. / प्रतिशत को 100 से भाग देकर मूल संख्या से गुणा करें।
Simplification & Approximation — Profit-Loss / लाभ-हानि
22. An article bought for Rs 1050 is sold at 12.5% profit. Find SP. / Rs 1050 में खरीदी वस्तु 12.5% लाभ पर बेची गई। SP ज्ञात करें।
- A. Rs 1141
- B. Rs 1181 (Correct)
- C. Rs 1221
- D. Rs 1261
Explanation: SP = CP x (100 + profit%)/100 = 1050 x 112.5/100 = Rs 1181. / लाभ प्रतिशत जोड़कर विक्रय मूल्य निकालें।
Simplification & Approximation — Time & Work / समय और कार्य
23. A finishes a work in 18 days and B in 24 days. Together they finish in: / A 18 दिन और B 24 दिन में काम पूरा करते हैं। साथ में समय?
- A. 9.3 days
- B. 10.3 days (Correct)
- C. 11.3 days
- D. 12.3 days
Explanation: Combined time = ab/(a+b) = 18 x 24 / 42 = 10.3 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: 26 x 16 + 26 - 16. / सरल करें: 26 x 16 + 26 - 16.
- A. 418
- B. 426 (Correct)
- C. 434
- D. 442
Explanation: Apply BODMAS: 416 + 26 - 16 = 426. / पहले गुणा, फिर जोड़-घटाव करें।