Simplification & Approximation Test 4

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Batch 4 | Govt Exams

Simplification & Approximation Test 4

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 4 (no login required)

Simplification & Approximation — Approximation
1. Approximate: 102% of 41 + 98% of 41. / लगभग मान ज्ञात करें: 41 का 102% + 41 का 98%।
- A. 82 (Correct)
- B. 87
- C. 77
- D. 83
Explanation: 102% of 41 ≈ 41.82; 98% of 41 ≈ 40.18; approximate total ≈ 82. / 41 का 102% ≈ 41.82; 41 का 98% ≈ 40.18; लगभग कुल ≈ 82।
Simplification & Approximation — Identity
2. Simplify using identity: (10+9)(10-9). / सर्वसमिका से सरलीकृत करें: (10+9)(10-9)।
- A. 361
- B. 19 (Correct)
- C. 181
- D. 1
Explanation: (a+b)(a-b)=a²-b²=100-81=19. / (a+b)(a-b)=a²-b²=100-81=19।
Simplification & Approximation — Missing simplification
3. What will come in place of the question mark: 171 ÷ 11 - 13 = ___ /? के स्थान पर क्या आएगा: 171 ÷ 11 - 13 = ___
- A. 15.55
- B. -85.5
- C. 2.55 (Correct)
- D. -10.45
Explanation: 171÷11=15.55; subtract 13; result = 2.55. / 171÷11=15.55; 13 घटाने पर परिणाम = 2.55।
Simplification & Approximation — BODMAS with square
4. Simplify: (19 + 9 - 3)². / सरलीकृत करें: (19 + 9 - 3)²।
- A. 575
- B. 675
- C. 784
- D. 625 (Correct)
Explanation: First simplify bracket: 19+9-3 = 25; square = 625. / पहले कोष्ठक सरल करें: 19+9-3 = 25; वर्ग = 625।
Simplification & Approximation — BODMAS
5. What will come in place of the question mark? 25 + 20 × 7 = ___ / प्रश्नचिह्न के स्थान पर क्या आएगा? 25 + 20 × 7 = ___
- A. 158
- B. 172
- C. 165 (Correct)
- D. 315
Explanation: Apply BODMAS: 20×7=140; 25+140=165. / BODMAS लगाएँ: 20×7=140; 25+140=165।
Simplification & Approximation — Square root
6. √? = 18. Find?. / √? = 18.? ज्ञात करें।
- A. 360
- B. 18
- C. 288
- D. 324 (Correct)
Explanation: If √? = 18, then? = 18² = 324. / यदि √? = 18, तो? = 18² = 324।
Simplification & Approximation — Percentage simplification
7. Find 47% of 471. / 471 का 47% ज्ञात करें।
- A. 10.02
- B. 221.37 (Correct)
- C. 268.37
- D. 174.37
Explanation: 47% of 471 = 47/100×471 = 221.37. / 471 का 47% = 47/100×471 = 221.37।
Simplification & Approximation — Algebraic simplification
8. Simplify: 16² - 14². / सरलीकृत करें: 16² - 14²।
- A. 4
- B. 60 (Correct)
- C. 900
- D. 452
Explanation: a²-b²=(a-b)(a+b)=(16-14)(16+14)=60. / a²-b²=(a-b)(a+b)=(16-14)(16+14)=60।
Simplification & Approximation — Series simplification
9. Find the sum of the first 24 natural numbers. / पहली 24 प्राकृतिक संख्याओं का योग ज्ञात करें।
- A. 576
- B. 300 (Correct)
- C. 276
- D. 324
Explanation: Sum = n(n+1)/2 = 24×25/2 = 300. / योग = n(n+1)/2 = 24×25/2 = 300।
Simplification & Approximation — Square identity
10. Simplify: (16+3)². / सरलीकृत करें: (16+3)²।
- A. 265
- B. 361 (Correct)
- C. 377
- D. 358
Explanation: (16+3)² = 19² = 361. / (16+3)² = 19² = 361।
Simplification & Approximation — Division simplification
11. Simplify: 341 ÷ 11 + 16. / सरलीकृत करें: 341 ÷ 11 + 16।
- A. 12.63
- B. 47 (Correct)
- C. 58
- D. 31
Explanation: 341÷11=31; result = 31+16 = 47. / 341÷11=31; परिणाम = 31+16 = 47।
Simplification & Approximation — Square root
12. Find √1024. / √1024 ज्ञात करें।
- A. 32 (Correct)
- B. 34
- C. 33
- D. 31
Explanation: Since 32² = 1024, √1024 = 32. / क्योंकि 32² = 1024, √1024 = 32।
Simplification & Approximation — Multiplication division
13. Simplify: 13 × 5 ÷ 5. / सरलीकृत करें: 13 × 5 ÷ 5।
- A. 18
- B. 8
- C. 13 (Correct)
- D. 26
Explanation: 13×5=65; divide by 5: result = 13. / 13×5=65; 5 से भाग: परिणाम = 13।
Simplification & Approximation — Approx/percentage
14. Increase 1738 by 19%. / 1738 में 19% की वृद्धि करें।
- A. 1407.78
- B. 2049.22
- C. 2087.22
- D. 2068.22 (Correct)
Explanation: New value = 1738×(100+19)/100 = 2068.22. / नया मान = 1738×(100+19)/100 = 2068.22।
Simplification & Approximation — Approx/percentage
15. Decrease 1475 by 20%. / 1475 में 20% की कमी करें।
- A. 1200
- B. 1160
- C. 1180 (Correct)
- D. 1770
Explanation: New value = 1475×(100-20)/100 = 1180. / नया मान = 1475×(100-20)/100 = 1180।
Simplification & Approximation — Powers
16. Simplify: 18³ - 11². / सरलीकृत करें: 18³ - 11²।
- A. 5729
- B. 5700
- C. 5953
- D. 5711 (Correct)
Explanation: 18³=5832 and 11²=121; result = 5832-121=5711. / 18³=5832 और 11²=121; परिणाम = 5832-121=5711।
Simplification & Approximation — Approximation
17. Approximate: 102% of 57 + 98% of 57. / लगभग मान ज्ञात करें: 57 का 102% + 57 का 98%।
- A. 119
- B. 115
- C. 109
- D. 114 (Correct)
Explanation: 102% of 57 ≈ 58.14; 98% of 57 ≈ 55.86; approximate total ≈ 114. / 57 का 102% ≈ 58.14; 57 का 98% ≈ 55.86; लगभग कुल ≈ 114।
Simplification & Approximation — Identity
18. Simplify using identity: (8+4)(8-4). / सर्वसमिका से सरलीकृत करें: (8+4)(8-4)।
- A. 16
- B. 144
- C. 48 (Correct)
- D. 80
Explanation: (a+b)(a-b)=a²-b²=64-16=48. / (a+b)(a-b)=a²-b²=64-16=48।
Simplification & Approximation — Missing simplification
19. What will come in place of the question mark: 443 ÷ 11 - 29 = ___ /? के स्थान पर क्या आएगा: 443 ÷ 11 - 29 = ___
- A. -17.73
- B. 11.27 (Correct)
- C. 40.27
- D. -24.61
Explanation: 443÷11=40.27; subtract 29; result = 11.27. / 443÷11=40.27; 29 घटाने पर परिणाम = 11.27।
Simplification & Approximation — BODMAS with square
20. Simplify: (15 + 5 - 5)². / सरलीकृत करें: (15 + 5 - 5)²।
- A. 195
- B. 225 (Correct)
- C. 255
- D. 400
Explanation: First simplify bracket: 15+5-5 = 15; square = 225. / पहले कोष्ठक सरल करें: 15+5-5 = 15; वर्ग = 225।
Simplification & Approximation — Percentage / प्रतिशत
21. 18% of 825 is: / 825 का 18% कितना है?
- A. 138.5
- B. 148.5 (Correct)
- C. 158.5
- D. 168.5
Explanation: 18% = 18/100, so answer = 148.5. / प्रतिशत को 100 से भाग देकर मूल संख्या से गुणा करें।
Simplification & Approximation — Profit-Loss / लाभ-हानि
22. An article bought for Rs 1100 is sold at 15% profit. Find SP. / Rs 1100 में खरीदी वस्तु 15% लाभ पर बेची गई। SP ज्ञात करें।
- A. Rs 1225
- B. Rs 1265 (Correct)
- C. Rs 1305
- D. Rs 1345
Explanation: SP = CP x (100 + profit%)/100 = 1100 x 115/100 = Rs 1265. / लाभ प्रतिशत जोड़कर विक्रय मूल्य निकालें।
Simplification & Approximation — Time & Work / समय और कार्य
23. A finishes a work in 24 days and B in 30 days. Together they finish in: / A 24 दिन और B 30 दिन में काम पूरा करते हैं। साथ में समय?
- A. 12.3 days
- B. 13.3 days (Correct)
- C. 14.3 days
- D. 15.3 days
Explanation: Combined time = ab/(a+b) = 24 x 30 / 54 = 13.3 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: 25 x 12 + 25 - 12. / सरल करें: 25 x 12 + 25 - 12.
- A. 305
- B. 313 (Correct)
- C. 321
- D. 329
Explanation: Apply BODMAS: 300 + 25 - 12 = 313. / पहले गुणा, फिर जोड़-घटाव करें।