Simplification & Approximation Test 5

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Batch 4 | Govt Exams

Simplification & Approximation Test 5

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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Duration

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 5 (no login required)

Simplification & Approximation — BODMAS
1. What will come in place of the question mark? 73 + 12 × 7 = ___ / प्रश्नचिह्न के स्थान पर क्या आएगा? 73 + 12 × 7 = ___
- A. 157 (Correct)
- B. 595
- C. 164
- D. 150
Explanation: Apply BODMAS: 12×7=84; 73+84=157. / BODMAS लगाएँ: 12×7=84; 73+84=157।
Simplification & Approximation — Percentage simplification
2. Find 23% of 679. / 679 का 23% ज्ञात करें।
- A. 133.17
- B. 156.17 (Correct)
- C. 29.52
- D. 179.17
Explanation: 23% of 679 = 23/100×679 = 156.17. / 679 का 23% = 23/100×679 = 156.17।
Simplification & Approximation — Algebraic simplification
3. Simplify: 8² - 10². / सरलीकृत करें: 8² - 10²।
- A. 164
- B. -36 (Correct)
- C. 324
- D. 4
Explanation: a²-b²=(a-b)(a+b)=(8-10)(8+10)=-36. / a²-b²=(a-b)(a+b)=(8-10)(8+10)=-36।
Simplification & Approximation — Series simplification
4. Find the sum of the first 40 natural numbers. / पहली 40 प्राकृतिक संख्याओं का योग ज्ञात करें।
- A. 1600
- B. 780
- C. 860
- D. 820 (Correct)
Explanation: Sum = n(n+1)/2 = 40×41/2 = 820. / योग = n(n+1)/2 = 40×41/2 = 820।
Simplification & Approximation — Division simplification
5. Simplify: 423 ÷ 9 + 12. / सरलीकृत करें: 423 ÷ 9 + 12।
- A. 59 (Correct)
- B. 68
- C. 47
- D. 20.14
Explanation: 423÷9=47; result = 47+12 = 59. / 423÷9=47; परिणाम = 47+12 = 59।
Simplification & Approximation — Multiplication division
6. Simplify: 29 × 5 ÷ 6. / सरलीकृत करें: 29 × 5 ÷ 6।
- A. 24.17 (Correct)
- B. 30.17
- C. 18.17
- D. 53.17
Explanation: 29×5=145; divide by 6: result = 24.17. / 29×5=145; 6 से भाग: परिणाम = 24.17।
Simplification & Approximation — Approx/percentage
7. Increase 2330 by 5%. / 2330 में 5% की वृद्धि करें।
- A. 2213.5
- B. 2441.5
- C. 2451.5
- D. 2446.5 (Correct)
Explanation: New value = 2330×(100+5)/100 = 2446.5. / नया मान = 2330×(100+5)/100 = 2446.5।
Simplification & Approximation — Approx/percentage
8. Decrease 1939 by 16%. / 1939 में 16% की कमी करें।
- A. 1612.76
- B. 1644.76
- C. 2249.24
- D. 1628.76 (Correct)
Explanation: New value = 1939×(100-16)/100 = 1628.76. / नया मान = 1939×(100-16)/100 = 1628.76।
Simplification & Approximation — Powers
9. Simplify: 8³ - 7². / सरलीकृत करें: 8³ - 7²।
- A. 471
- B. 463 (Correct)
- C. 561
- D. 456
Explanation: 8³=512 and 7²=49; result = 512-49=463. / 8³=512 और 7²=49; परिणाम = 512-49=463।
Simplification & Approximation — Approximation
10. Approximate: 102% of 73 + 98% of 33. / लगभग मान ज्ञात करें: 73 का 102% + 33 का 98%।
- A. 102
- B. 107 (Correct)
- C. 106
- D. 112
Explanation: 102% of 73 ≈ 74.46; 98% of 33 ≈ 32.34; approximate total ≈ 107. / 73 का 102% ≈ 74.46; 33 का 98% ≈ 32.34; लगभग कुल ≈ 107।
Simplification & Approximation — Identity
11. Simplify using identity: (6+6)(6-6). / सर्वसमिका से सरलीकृत करें: (6+6)(6-6)।
- A. 144
- B. 1
- C. 72
- D. 0 (Correct)
Explanation: (a+b)(a-b)=a²-b²=36-36=0. / (a+b)(a-b)=a²-b²=36-36=0।
Simplification & Approximation — Missing simplification
12. What will come in place of the question mark: 215 ÷ 11 - 25 = ___ /? के स्थान पर क्या आएगा: 215 ÷ 11 - 25 = ___
- A. -5.45 (Correct)
- B. 19.55
- C. -15.36
- D. -30.45
Explanation: 215÷11=19.55; subtract 25; result = -5.45. / 215÷11=19.55; 25 घटाने पर परिणाम = -5.45।
Simplification & Approximation — BODMAS with square
13. Simplify: (31 + 11 - 7)². / सरलीकृत करें: (31 + 11 - 7)²।
- A. 1764
- B. 1155
- C. 1225 (Correct)
- D. 1295
Explanation: First simplify bracket: 31+11-7 = 35; square = 1225. / पहले कोष्ठक सरल करें: 31+11-7 = 35; वर्ग = 1225।
Simplification & Approximation — BODMAS
14. What will come in place of the question mark? 31 + 44 × 7 = ___ / प्रश्नचिह्न के स्थान पर क्या आएगा? 31 + 44 × 7 = ___
- A. 339 (Correct)
- B. 332
- C. 346
- D. 525
Explanation: Apply BODMAS: 44×7=308; 31+308=339. / BODMAS लगाएँ: 44×7=308; 31+308=339।
Simplification & Approximation — Percentage simplification
15. Find 39% of 887. / 887 का 39% ज्ञात करें।
- A. 22.74
- B. 306.93
- C. 345.93 (Correct)
- D. 384.93
Explanation: 39% of 887 = 39/100×887 = 345.93. / 887 का 39% = 39/100×887 = 345.93।
Simplification & Approximation — Algebraic simplification
16. Simplify: 12² - 6². / सरलीकृत करें: 12² - 6²।
- A. 180
- B. 108 (Correct)
- C. 36
- D. 324
Explanation: a²-b²=(a-b)(a+b)=(12-6)(12+6)=108. / a²-b²=(a-b)(a+b)=(12-6)(12+6)=108।
Simplification & Approximation — Series simplification
17. Find the sum of the first 26 natural numbers. / पहली 26 प्राकृतिक संख्याओं का योग ज्ञात करें।
- A. 325
- B. 351 (Correct)
- C. 676
- D. 377
Explanation: Sum = n(n+1)/2 = 26×27/2 = 351. / योग = n(n+1)/2 = 26×27/2 = 351।
Simplification & Approximation — Division simplification
18. Simplify: 231 ÷ 7 + 8. / सरलीकृत करें: 231 ÷ 7 + 8।
- A. 15.4
- B. 48
- C. 33
- D. 41 (Correct)
Explanation: 231÷7=33; result = 33+8 = 41. / 231÷7=33; परिणाम = 33+8 = 41।
Simplification & Approximation — Multiplication division
19. Simplify: 27 × 5 ÷ 2. / सरलीकृत करें: 27 × 5 ÷ 2।
- A. 69.5
- B. 65.5
- C. 94.5
- D. 67.5 (Correct)
Explanation: 27×5=135; divide by 2: result = 67.5. / 27×5=135; 2 से भाग: परिणाम = 67.5।
Simplification & Approximation — Approx/percentage
20. Increase 2922 by 6%. / 2922 में 6% की वृद्धि करें।
- A. 3103.32
- B. 3097.32 (Correct)
- C. 2746.68
- D. 3091.32
Explanation: New value = 2922×(100+6)/100 = 3097.32. / नया मान = 2922×(100+6)/100 = 3097.32।
Simplification & Approximation — Percentage / प्रतिशत
21. 25% of 800 is: / 800 का 25% कितना है?
- A. 190
- B. 200 (Correct)
- C. 210
- D. 220
Explanation: 25% = 25/100, so answer = 200. / प्रतिशत को 100 से भाग देकर मूल संख्या से गुणा करें।
Simplification & Approximation — Profit-Loss / लाभ-हानि
22. An article bought for Rs 1150 is sold at 20% profit. Find SP. / Rs 1150 में खरीदी वस्तु 20% लाभ पर बेची गई। SP ज्ञात करें।
- A. Rs 1340
- B. Rs 1380 (Correct)
- C. Rs 1420
- D. Rs 1460
Explanation: SP = CP x (100 + profit%)/100 = 1150 x 120/100 = Rs 1380. / लाभ प्रतिशत जोड़कर विक्रय मूल्य निकालें।
Simplification & Approximation — Time & Work / समय और कार्य
23. A finishes a work in 15 days and B in 21 days. Together they finish in: / A 15 दिन और B 21 दिन में काम पूरा करते हैं। साथ में समय?
- A. 7.800000000000001 days
- B. 8.8 days (Correct)
- C. 9.8 days
- D. 10.8 days
Explanation: Combined time = ab/(a+b) = 15 x 21 / 36 = 8.8 days. / संयुक्त कार्य में दरें जोड़ी जाती हैं।
Simplification & Approximation — Speed Conversion / चाल परिवर्तन
24. 72 km/h equals: / 72 किमी/घंटा बराबर है:
- A. 17 m/s
- B. 20 m/s (Correct)
- C. 23 m/s
- D. 25 m/s
Explanation: km/h to m/s conversion uses x 5/18. 72 x 5/18 = 20. / किमी/घंटा को मी/से में बदलने के लिए 5/18 से गुणा करें।
Simplification & Approximation — Simplification / सरलीकरण
25. Simplify: 24 x 15 + 24 - 15. / सरल करें: 24 x 15 + 24 - 15.
- A. 361
- B. 369 (Correct)
- C. 377
- D. 385
Explanation: Apply BODMAS: 360 + 24 - 15 = 369. / पहले गुणा, फिर जोड़-घटाव करें।