Simplification & Approximation Test 11

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Batch 4 | Govt Exams

Simplification & Approximation Test 11

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 11 (no login required)

Simplification & Approximation — Series simplification
1. Find the sum of the first 34 natural numbers. / पहली 34 प्राकृतिक संख्याओं का योग ज्ञात करें।
- A. 1156
- B. 561
- C. 595 (Correct)
- D. 629
Explanation: Sum = n(n+1)/2 = 34×35/2 = 595. / योग = n(n+1)/2 = 34×35/2 = 595।
Simplification & Approximation — Division simplification
2. Simplify: 369 ÷ 9 + 16. / सरलीकृत करें: 369 ÷ 9 + 16।
- A. 14.76
- B. 41
- C. 66
- D. 57 (Correct)
Explanation: 369÷9=41; result = 41+16 = 57. / 369÷9=41; परिणाम = 41+16 = 57।
Simplification & Approximation — Multiplication division
3. Simplify: 29 × 5 ÷ 5. / सरलीकृत करें: 29 × 5 ÷ 5।
- A. 58
- B. 29 (Correct)
- C. 24
- D. 34
Explanation: 29×5=145; divide by 5: result = 29. / 29×5=145; 5 से भाग: परिणाम = 29।
Simplification & Approximation — Approx/percentage
4. Increase 1658 by 14%. / 1658 में 14% की वृद्धि करें।
- A. 1876.12
- B. 1904.12
- C. 1890.12 (Correct)
- D. 1425.88
Explanation: New value = 1658×(100+14)/100 = 1890.12. / नया मान = 1658×(100+14)/100 = 1890.12।
Simplification & Approximation — Approx/percentage
5. Decrease 1615 by 20%. / 1615 में 20% की कमी करें।
- A. 1292 (Correct)
- B. 1272
- C. 1312
- D. 1938
Explanation: New value = 1615×(100-20)/100 = 1292. / नया मान = 1615×(100-20)/100 = 1292।
Simplification & Approximation — Powers
6. Simplify: 9³ - 11². / सरलीकृत करें: 9³ - 11²।
- A. 850
- B. 597
- C. 617
- D. 608 (Correct)
Explanation: 9³=729 and 11²=121; result = 729-121=608. / 9³=729 और 11²=121; परिणाम = 729-121=608।
Simplification & Approximation — Approximation
7. Approximate: 102% of 67 + 98% of 57. / लगभग मान ज्ञात करें: 67 का 102% + 57 का 98%।
- A. 124 (Correct)
- B. 119
- C. 125
- D. 129
Explanation: 102% of 67 ≈ 68.34; 98% of 57 ≈ 55.86; approximate total ≈ 124. / 67 का 102% ≈ 68.34; 57 का 98% ≈ 55.86; लगभग कुल ≈ 124।
Simplification & Approximation — Identity
8. Simplify using identity: (6+3)(6-3). / सर्वसमिका से सरलीकृत करें: (6+3)(6-3)।
- A. 9
- B. 27 (Correct)
- C. 45
- D. 81
Explanation: (a+b)(a-b)=a²-b²=36-9=27. / (a+b)(a-b)=a²-b²=36-9=27।
Simplification & Approximation — Missing simplification
9. What will come in place of the question mark: 163 ÷ 11 - 29 = ___ /? के स्थान पर क्या आएगा: 163 ÷ 11 - 29 = ___
- A. -9.06
- B. -43.18
- C. -14.18 (Correct)
- D. 14.82
Explanation: 163÷11=14.82; subtract 29; result = -14.18. / 163÷11=14.82; 29 घटाने पर परिणाम = -14.18।
Simplification & Approximation — BODMAS with square
10. Simplify: (15 + 5 - 4)². / सरलीकृत करें: (15 + 5 - 4)²।
- A. 256 (Correct)
- B. 400
- C. 288
- D. 224
Explanation: First simplify bracket: 15+5-4 = 16; square = 256. / पहले कोष्ठक सरल करें: 15+5-4 = 16; वर्ग = 256।
Simplification & Approximation — Percentage simplification
11. Find 23% of 659. / 659 का 23% ज्ञात करें।
- A. 174.57
- B. 151.57 (Correct)
- C. 128.57
- D. 28.65
Explanation: 23% of 659 = 23/100×659 = 151.57. / 659 का 23% = 23/100×659 = 151.57।
Simplification & Approximation — Division simplification
12. Simplify: 189 ÷ 7 + 12. / सरलीकृत करें: 189 ÷ 7 + 12।
- A. 46
- B. 39 (Correct)
- C. 27
- D. 9.95
Explanation: 189÷7=27; result = 27+12 = 39. / 189÷7=27; परिणाम = 27+12 = 39।
Simplification & Approximation — Multiplication division
13. Simplify: 27 × 5 ÷ 6. / सरलीकृत करें: 27 × 5 ÷ 6।
- A. 28.5
- B. 16.5
- C. 22.5 (Correct)
- D. 49.5
Explanation: 27×5=135; divide by 6: result = 22.5. / 27×5=135; 6 से भाग: परिणाम = 22.5।
Simplification & Approximation — Approx/percentage
14. Increase 2250 by 15%. / 2250 में 15% की वृद्धि करें।
- A. 2602.5
- B. 1912.5
- C. 2572.5
- D. 2587.5 (Correct)
Explanation: New value = 2250×(100+15)/100 = 2587.5. / नया मान = 2250×(100+15)/100 = 2587.5।
Simplification & Approximation — Approx/percentage
15. Decrease 2079 by 16%. / 2079 में 16% की कमी करें।
- A. 1730.36
- B. 2411.64
- C. 1762.36
- D. 1746.36 (Correct)
Explanation: New value = 2079×(100-16)/100 = 1746.36. / नया मान = 2079×(100-16)/100 = 1746.36।
Simplification & Approximation — Powers
16. Simplify: 12³ - 7². / सरलीकृत करें: 12³ - 7²।
- A. 1777
- B. 1679 (Correct)
- C. 1672
- D. 1691
Explanation: 12³=1728 and 7²=49; result = 1728-49=1679. / 12³=1728 और 7²=49; परिणाम = 1728-49=1679।
Simplification & Approximation — Approximation
17. Approximate: 102% of 33 + 98% of 33. / लगभग मान ज्ञात करें: 33 का 102% + 33 का 98%।
- A. 71
- B. 66 (Correct)
- C. 61
- D. 67
Explanation: 102% of 33 ≈ 33.66; 98% of 33 ≈ 32.34; approximate total ≈ 66. / 33 का 102% ≈ 33.66; 33 का 98% ≈ 32.34; लगभग कुल ≈ 66।
Simplification & Approximation — Identity
18. Simplify using identity: (4+5)(4-5). / सर्वसमिका से सरलीकृत करें: (4+5)(4-5)।
- A. -9 (Correct)
- B. 1
- C. 81
- D. 41
Explanation: (a+b)(a-b)=a²-b²=16-25=-9. / (a+b)(a-b)=a²-b²=16-25=-9।
Simplification & Approximation — Missing simplification
19. What will come in place of the question mark: 435 ÷ 11 - 25 = ___ /? के स्थान पर क्या आएगा: 435 ÷ 11 - 25 = ___
- A. -10.45
- B. 39.55
- C. -31.07
- D. 14.55 (Correct)
Explanation: 435÷11=39.55; subtract 25; result = 14.55. / 435÷11=39.55; 25 घटाने पर परिणाम = 14.55।
Simplification & Approximation — BODMAS with square
20. Simplify: (31 + 11 - 6)². / सरलीकृत करें: (31 + 11 - 6)²।
- A. 1296 (Correct)
- B. 1368
- C. 1224
- D. 1764
Explanation: First simplify bracket: 31+11-6 = 36; square = 1296. / पहले कोष्ठक सरल करें: 31+11-6 = 36; वर्ग = 1296।
Simplification & Approximation — Percentage / प्रतिशत
21. 15% of 650 is: / 650 का 15% कितना है?
- A. 87.5
- B. 97.5 (Correct)
- C. 107.5
- D. 117.5
Explanation: 15% = 15/100, so answer = 97.5. / 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 21 days and B in 27 days. Together they finish in: / A 21 दिन और B 27 दिन में काम पूरा करते हैं। साथ में समय?
- A. 10.8 days
- B. 11.8 days (Correct)
- C. 12.8 days
- D. 13.8 days
Explanation: Combined time = ab/(a+b) = 21 x 27 / 48 = 11.8 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: 18 x 12 + 18 - 12. / सरल करें: 18 x 12 + 18 - 12.
- A. 214
- B. 222 (Correct)
- C. 230
- D. 238
Explanation: Apply BODMAS: 216 + 18 - 12 = 222. / पहले गुणा, फिर जोड़-घटाव करें।