Simplification & Approximation Test 13
Bilingual timed test with clean question text, preserved symbols and detailed solutions.
Simplification & Approximation Test 13
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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- Simplification & Approximation — Percentage simplification
1. Find 31% of 583. / 583 का 31% ज्ञात करें।
- A. 211.73
- B. 180.73 (Correct)
- C. 149.73
- D. 18.81
Explanation: 31% of 583 = 31/100×583 = 180.73. / 583 का 31% = 31/100×583 = 180.73।
- Simplification & Approximation — Division simplification
2. Simplify: 450 ÷ 10 + 20. / सरलीकृत करें: 450 ÷ 10 + 20।
- A. 45
- B. 75
- C. 15
- D. 65 (Correct)
Explanation: 450÷10=45; result = 45+20 = 65. / 450÷10=45; परिणाम = 45+20 = 65।
- Simplification & Approximation — Multiplication division
3. Simplify: 21 × 5 ÷ 4. / सरलीकृत करें: 21 × 5 ÷ 4।
- A. 47.25
- B. 26.25 (Correct)
- C. 30.25
- D. 22.25
Explanation: 21×5=105; divide by 4: result = 26.25. / 21×5=105; 4 से भाग: परिणाम = 26.25।
- Simplification & Approximation — Approx/percentage
4. Increase 2026 by 18%. / 2026 में 18% की वृद्धि करें।
- A. 2372.68
- B. 2408.68
- C. 2390.68 (Correct)
- D. 1661.32
Explanation: New value = 2026×(100+18)/100 = 2390.68. / नया मान = 2026×(100+18)/100 = 2390.68।
- Simplification & Approximation — Approx/percentage
5. Decrease 1971 by 24%. / 1971 में 24% की कमी करें।
- A. 1521.96
- B. 1473.96
- C. 1497.96 (Correct)
- D. 2444.04
Explanation: New value = 1971×(100-24)/100 = 1497.96. / नया मान = 1971×(100-24)/100 = 1497.96।
- Simplification & Approximation — Powers
6. Simplify: 8³ - 5². / सरलीकृत करें: 8³ - 5²।
- A. 495
- B. 487 (Correct)
- C. 482
- D. 537
Explanation: 8³=512 and 5²=25; result = 512-25=487. / 8³=512 और 5²=25; परिणाम = 512-25=487।
- Simplification & Approximation — Approximation
7. Approximate: 102% of 31 + 98% of 41. / लगभग मान ज्ञात करें: 31 का 102% + 41 का 98%।
- A. 73
- B. 77
- C. 72 (Correct)
- D. 67
Explanation: 102% of 31 ≈ 31.62; 98% of 41 ≈ 40.18; approximate total ≈ 72. / 31 का 102% ≈ 31.62; 41 का 98% ≈ 40.18; लगभग कुल ≈ 72।
- Simplification & Approximation — Identity
8. Simplify using identity: (7+4)(7-4). / सर्वसमिका से सरलीकृत करें: (7+4)(7-4)।
- A. 9
- B. 121
- C. 65
- D. 33 (Correct)
Explanation: (a+b)(a-b)=a²-b²=49-16=33. / (a+b)(a-b)=a²-b²=49-16=33।
- Simplification & Approximation — Missing simplification
9. What will come in place of the question mark: 251 ÷ 11 - 13 = ___ /? के स्थान पर क्या आएगा: 251 ÷ 11 - 13 = ___
- A. 22.82
- B. -3.18
- C. 9.82 (Correct)
- D. -125.5
Explanation: 251÷11=22.82; subtract 13; result = 9.82. / 251÷11=22.82; 13 घटाने पर परिणाम = 9.82।
- Simplification & Approximation — BODMAS with square
10. Simplify: (19 + 9 - 5)². / सरलीकृत करें: (19 + 9 - 5)²।
- A. 784
- B. 529 (Correct)
- C. 483
- D. 575
Explanation: First simplify bracket: 19+9-5 = 23; square = 529. / पहले कोष्ठक सरल करें: 19+9-5 = 23; वर्ग = 529।
- Simplification & Approximation — Percentage simplification
11. Find 47% of 791. / 791 का 47% ज्ञात करें।
- A. 418.77
- B. 16.83
- C. 324.77
- D. 371.77 (Correct)
Explanation: 47% of 791 = 47/100×791 = 371.77. / 791 का 47% = 47/100×791 = 371.77।
- Simplification & Approximation — Division simplification
12. Simplify: 248 ÷ 8 + 16. / सरलीकृत करें: 248 ÷ 8 + 16।
- A. 31
- B. 55
- C. 10.33
- D. 47 (Correct)
Explanation: 248÷8=31; result = 31+16 = 47. / 248÷8=31; परिणाम = 31+16 = 47।
- Simplification & Approximation — Multiplication division
13. Simplify: 19 × 5 ÷ 5. / सरलीकृत करें: 19 × 5 ÷ 5।
- A. 19 (Correct)
- B. 14
- C. 38
- D. 24
Explanation: 19×5=95; divide by 5: result = 19. / 19×5=95; 5 से भाग: परिणाम = 19।
- Simplification & Approximation — Approx/percentage
14. Increase 2618 by 19%. / 2618 में 19% की वृद्धि करें।
- A. 3134.42
- B. 2120.58
- C. 3096.42
- D. 3115.42 (Correct)
Explanation: New value = 2618×(100+19)/100 = 3115.42. / नया मान = 2618×(100+19)/100 = 3115.42।
- Simplification & Approximation — Approx/percentage
15. Decrease 935 by 20%. / 935 में 20% की कमी करें।
- A. 1122
- B. 728
- C. 768
- D. 748 (Correct)
Explanation: New value = 935×(100-20)/100 = 748. / नया मान = 935×(100-20)/100 = 748।
- Simplification & Approximation — Powers
16. Simplify: 11³ - 11². / सरलीकृत करें: 11³ - 11²।
- A. 1221
- B. 1199
- C. 1210 (Correct)
- D. 1452
Explanation: 11³=1331 and 11²=121; result = 1331-121=1210. / 11³=1331 और 11²=121; परिणाम = 1331-121=1210।
- Simplification & Approximation — Approximation
17. Approximate: 102% of 47 + 98% of 57. / लगभग मान ज्ञात करें: 47 का 102% + 57 का 98%।
- A. 104 (Correct)
- B. 99
- C. 109
- D. 105
Explanation: 102% of 47 ≈ 47.94; 98% of 57 ≈ 55.86; approximate total ≈ 104. / 47 का 102% ≈ 47.94; 57 का 98% ≈ 55.86; लगभग कुल ≈ 104।
- Simplification & Approximation — Identity
18. Simplify using identity: (5+6)(5-6). / सर्वसमिका से सरलीकृत करें: (5+6)(5-6)।
- A. 1
- B. 121
- C. -11 (Correct)
- D. 61
Explanation: (a+b)(a-b)=a²-b²=25-36=-11. / (a+b)(a-b)=a²-b²=25-36=-11।
- Simplification & Approximation — Missing simplification
19. What will come in place of the question mark: 523 ÷ 11 - 29 = ___ /? के स्थान पर क्या आएगा: 523 ÷ 11 - 29 = ___
- A. 47.55
- B. -29.06
- C. 18.55 (Correct)
- D. -10.45
Explanation: 523÷11=47.55; subtract 29; result = 18.55. / 523÷11=47.55; 29 घटाने पर परिणाम = 18.55।
- Simplification & Approximation — BODMAS with square
20. Simplify: (15 + 5 - 7)². / सरलीकृत करें: (15 + 5 - 7)²।
- A. 143
- B. 400
- C. 169 (Correct)
- D. 195
Explanation: First simplify bracket: 15+5-7 = 13; square = 169. / पहले कोष्ठक सरल करें: 15+5-7 = 13; वर्ग = 169।
- Simplification & Approximation — Percentage / प्रतिशत
21. 12% of 600 is: / 600 का 12% कितना है?
- A. 62
- B. 72 (Correct)
- C. 82
- D. 92
Explanation: 12% = 12/100, so answer = 72. / 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 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. 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: 25 x 18 + 25 - 18. / सरल करें: 25 x 18 + 25 - 18.
- A. 449
- B. 457 (Correct)
- C. 465
- D. 473
Explanation: Apply BODMAS: 450 + 25 - 18 = 457. / पहले गुणा, फिर जोड़-घटाव करें।