Simplification & Approximation Test 8

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Batch 4 | Govt Exams

Simplification & Approximation Test 8

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 8 (no login required)

Simplification & Approximation — Powers
1. Simplify: 7³ - 11². / सरलीकृत करें: 7³ - 11²।
- A. 229
- B. 464
- C. 211
- D. 222 (Correct)
Explanation: 7³=343 and 11²=121; result = 343-121=222. / 7³=343 और 11²=121; परिणाम = 343-121=222।
Simplification & Approximation — Approximation
2. Approximate: 102% of 37 + 98% of 57. / लगभग मान ज्ञात करें: 37 का 102% + 57 का 98%।
- A. 94 (Correct)
- B. 89
- C. 99
- D. 95
Explanation: 102% of 37 ≈ 37.74; 98% of 57 ≈ 55.86; approximate total ≈ 94. / 37 का 102% ≈ 37.74; 57 का 98% ≈ 55.86; लगभग कुल ≈ 94।
Simplification & Approximation — Identity
3. Simplify using identity: (7+7)(7-7). / सर्वसमिका से सरलीकृत करें: (7+7)(7-7)।
- A. 0 (Correct)
- B. 1
- C. 196
- D. 98
Explanation: (a+b)(a-b)=a²-b²=49-49=0. / (a+b)(a-b)=a²-b²=49-49=0।
Simplification & Approximation — Missing simplification
4. What will come in place of the question mark: 303 ÷ 11 - 29 = ___ /? के स्थान पर क्या आएगा: 303 ÷ 11 - 29 = ___
- A. -30.45
- B. -1.45 (Correct)
- C. 27.55
- D. -16.83
Explanation: 303÷11=27.55; subtract 29; result = -1.45. / 303÷11=27.55; 29 घटाने पर परिणाम = -1.45।
Simplification & Approximation — BODMAS with square
5. Simplify: (15 + 5 - 8)². / सरलीकृत करें: (15 + 5 - 8)²।
- A. 168
- B. 144 (Correct)
- C. 400
- D. 120
Explanation: First simplify bracket: 15+5-8 = 12; square = 144. / पहले कोष्ठक सरल करें: 15+5-8 = 12; वर्ग = 144।
Simplification & Approximation — BODMAS
6. What will come in place of the question mark? 43 + 12 × 7 = ___ / प्रश्नचिह्न के स्थान पर क्या आएगा? 43 + 12 × 7 = ___
- A. 134
- B. 127 (Correct)
- C. 385
- D. 120
Explanation: Apply BODMAS: 12×7=84; 43+84=127. / BODMAS लगाएँ: 12×7=84; 43+84=127।
Simplification & Approximation — Percentage simplification
7. Find 23% of 319. / 319 का 23% ज्ञात करें।
- A. 73.37 (Correct)
- B. 50.37
- C. 96.37
- D. 13.87
Explanation: 23% of 319 = 23/100×319 = 73.37. / 319 का 23% = 23/100×319 = 73.37।
Simplification & Approximation — Algebraic simplification
8. Simplify: 16² - 10². / सरलीकृत करें: 16² - 10²।
- A. 356
- B. 156 (Correct)
- C. 36
- D. 676
Explanation: a²-b²=(a-b)(a+b)=(16-10)(16+10)=156. / a²-b²=(a-b)(a+b)=(16-10)(16+10)=156।
Simplification & Approximation — Series simplification
9. Find the sum of the first 30 natural numbers. / पहली 30 प्राकृतिक संख्याओं का योग ज्ञात करें।
- A. 900
- B. 495
- C. 465 (Correct)
- D. 435
Explanation: Sum = n(n+1)/2 = 30×31/2 = 465. / योग = n(n+1)/2 = 30×31/2 = 465।
Simplification & Approximation — Division simplification
10. Simplify: 296 ÷ 8 + 12. / सरलीकृत करें: 296 ÷ 8 + 12।
- A. 14.8
- B. 49 (Correct)
- C. 37
- D. 57
Explanation: 296÷8=37; result = 37+12 = 49. / 296÷8=37; परिणाम = 37+12 = 49।
Simplification & Approximation — Multiplication division
11. Simplify: 19 × 5 ÷ 6. / सरलीकृत करें: 19 × 5 ÷ 6।
- A. 9.83
- B. 34.83
- C. 15.83 (Correct)
- D. 21.83
Explanation: 19×5=95; divide by 6: result = 15.83. / 19×5=95; 6 से भाग: परिणाम = 15.83।
Simplification & Approximation — Approx/percentage
12. Increase 1290 by 10%. / 1290 में 10% की वृद्धि करें।
- A. 1161
- B. 1409
- C. 1429
- D. 1419 (Correct)
Explanation: New value = 1290×(100+10)/100 = 1419. / नया मान = 1290×(100+10)/100 = 1419।
Simplification & Approximation — Approx/percentage
13. Decrease 1259 by 16%. / 1259 में 16% की कमी करें।
- A. 1041.56
- B. 1073.56
- C. 1057.56 (Correct)
- D. 1460.44
Explanation: New value = 1259×(100-16)/100 = 1057.56. / नया मान = 1259×(100-16)/100 = 1057.56।
Simplification & Approximation — Powers
14. Simplify: 10³ - 7². / सरलीकृत करें: 10³ - 7²।
- A. 961
- B. 951 (Correct)
- C. 944
- D. 1049
Explanation: 10³=1000 and 7²=49; result = 1000-49=951. / 10³=1000 और 7²=49; परिणाम = 1000-49=951।
Simplification & Approximation — Approximation
15. Approximate: 102% of 53 + 98% of 33. / लगभग मान ज्ञात करें: 53 का 102% + 33 का 98%।
- A. 86 (Correct)
- B. 81
- C. 91
- D. 87
Explanation: 102% of 53 ≈ 54.06; 98% of 33 ≈ 32.34; approximate total ≈ 86. / 53 का 102% ≈ 54.06; 33 का 98% ≈ 32.34; लगभग कुल ≈ 86।
Simplification & Approximation — Identity
16. Simplify using identity: (5+9)(5-9). / सर्वसमिका से सरलीकृत करें: (5+9)(5-9)।
- A. 106
- B. 16
- C. -56 (Correct)
- D. 196
Explanation: (a+b)(a-b)=a²-b²=25-81=-56. / (a+b)(a-b)=a²-b²=25-81=-56।
Simplification & Approximation — Missing simplification
17. What will come in place of the question mark: 575 ÷ 11 - 25 = ___ /? के स्थान पर क्या आएगा: 575 ÷ 11 - 25 = ___
- A. 2.27
- B. -41.07
- C. 27.27 (Correct)
- D. 52.27
Explanation: 575÷11=52.27; subtract 25; result = 27.27. / 575÷11=52.27; 25 घटाने पर परिणाम = 27.27।
Simplification & Approximation — BODMAS with square
18. Simplify: (31 + 11 - 3)². / सरलीकृत करें: (31 + 11 - 3)²।
- A. 1521 (Correct)
- B. 1764
- C. 1599
- D. 1443
Explanation: First simplify bracket: 31+11-3 = 39; square = 1521. / पहले कोष्ठक सरल करें: 31+11-3 = 39; वर्ग = 1521।
Simplification & Approximation — BODMAS
19. What will come in place of the question mark? 91 + 44 × 7 = ___ / प्रश्नचिह्न के स्थान पर क्या आएगा? 91 + 44 × 7 = ___
- A. 406
- B. 392
- C. 945
- D. 399 (Correct)
Explanation: Apply BODMAS: 44×7=308; 91+308=399. / BODMAS लगाएँ: 44×7=308; 91+308=399।
Simplification & Approximation — Percentage simplification
20. Find 39% of 527. / 527 का 39% ज्ञात करें।
- A. 13.51
- B. 244.53
- C. 205.53 (Correct)
- D. 166.53
Explanation: 39% of 527 = 39/100×527 = 205.53. / 527 का 39% = 39/100×527 = 205.53।
Simplification & Approximation — Percentage / प्रतिशत
21. 12% of 725 is: / 725 का 12% कितना है?
- A. 77
- B. 87 (Correct)
- C. 97
- D. 107
Explanation: 12% = 12/100, so answer = 87. / प्रतिशत को 100 से भाग देकर मूल संख्या से गुणा करें।
Simplification & Approximation — Profit-Loss / लाभ-हानि
22. An article bought for Rs 900 is sold at 15% profit. Find SP. / Rs 900 में खरीदी वस्तु 15% लाभ पर बेची गई। SP ज्ञात करें।
- A. Rs 995
- B. Rs 1035 (Correct)
- C. Rs 1075
- D. Rs 1115
Explanation: SP = CP x (100 + profit%)/100 = 900 x 115/100 = Rs 1035. / 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. 54 km/h equals: / 54 किमी/घंटा बराबर है:
- A. 12 m/s
- B. 15 m/s (Correct)
- C. 18 m/s
- D. 20 m/s
Explanation: km/h to m/s conversion uses x 5/18. 54 x 5/18 = 15. / किमी/घंटा को मी/से में बदलने के लिए 5/18 से गुणा करें।
Simplification & Approximation — Simplification / सरलीकरण
25. Simplify: 21 x 17 + 21 - 17. / सरल करें: 21 x 17 + 21 - 17.
- A. 353
- B. 361 (Correct)
- C. 369
- D. 377
Explanation: Apply BODMAS: 357 + 21 - 17 = 361. / पहले गुणा, फिर जोड़-घटाव करें।