Simplification & Approximation Test 6

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Batch 4 | Govt Exams

Simplification & Approximation Test 6

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.

Questions

Duration

25 min

Marking

+1 / -0.25

Sections

Simplification & Approximation | 25 questions

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Preview all 25 questions in Simplification & Approximation Test 6 (no login required)

Simplification & Approximation — Approx/percentage
1. Decrease 903 by 12%. / 903 में 12% की कमी करें।
- A. 1011.36
- B. 806.64
- C. 782.64
- D. 794.64 (Correct)
Explanation: New value = 903×(100-12)/100 = 794.64. / नया मान = 903×(100-12)/100 = 794.64।
Simplification & Approximation — Powers
2. Simplify: 11³ - 13². / सरलीकृत करें: 11³ - 13²।
- A. 1149
- B. 1500
- C. 1173
- D. 1162 (Correct)
Explanation: 11³=1331 and 13²=169; result = 1331-169=1162. / 11³=1331 और 13²=169; परिणाम = 1331-169=1162।
Simplification & Approximation — Approximation
3. Approximate: 102% of 39 + 98% of 49. / लगभग मान ज्ञात करें: 39 का 102% + 49 का 98%।
- A. 88 (Correct)
- B. 89
- C. 83
- D. 93
Explanation: 102% of 39 ≈ 39.78; 98% of 49 ≈ 48.02; approximate total ≈ 88. / 39 का 102% ≈ 39.78; 49 का 98% ≈ 48.02; लगभग कुल ≈ 88।
Simplification & Approximation — Identity
4. Simplify using identity: (4+8)(4-8). / सर्वसमिका से सरलीकृत करें: (4+8)(4-8)।
- A. 16
- B. 80
- C. 144
- D. -48 (Correct)
Explanation: (a+b)(a-b)=a²-b²=16-64=-48. / (a+b)(a-b)=a²-b²=16-64=-48।
Simplification & Approximation — Missing simplification
5. What will come in place of the question mark: 487 ÷ 11 - 21 = ___ /? के स्थान पर क्या आएगा: 487 ÷ 11 - 21 = ___
- A. 2.27
- B. -48.7
- C. 44.27
- D. 23.27 (Correct)
Explanation: 487÷11=44.27; subtract 21; result = 23.27. / 487÷11=44.27; 21 घटाने पर परिणाम = 23.27।
Simplification & Approximation — BODMAS with square
6. Simplify: (27 + 7 - 2)². / सरलीकृत करें: (27 + 7 - 2)²।
- A. 960
- B. 1088
- C. 1024 (Correct)
- D. 1156
Explanation: First simplify bracket: 27+7-2 = 32; square = 1024. / पहले कोष्ठक सरल करें: 27+7-2 = 32; वर्ग = 1024।
Simplification & Approximation — BODMAS
7. What will come in place of the question mark? 79 + 36 × 7 = ___ / प्रश्नचिह्न के स्थान पर क्या आएगा? 79 + 36 × 7 = ___
- A. 805
- B. 338
- C. 331 (Correct)
- D. 324
Explanation: Apply BODMAS: 36×7=252; 79+252=331. / BODMAS लगाएँ: 36×7=252; 79+252=331।
Simplification & Approximation — Percentage simplification
8. Find 55% of 395. / 395 का 55% ज्ञात करें।
- A. 7.18
- B. 162.25
- C. 272.25
- D. 217.25 (Correct)
Explanation: 55% of 395 = 55/100×395 = 217.25. / 395 का 55% = 55/100×395 = 217.25।
Simplification & Approximation — Algebraic simplification
9. Simplify: 16² - 12². / सरलीकृत करें: 16² - 12²।
- A. 400
- B. 784
- C. 16
- D. 112 (Correct)
Explanation: a²-b²=(a-b)(a+b)=(16-12)(16+12)=112. / a²-b²=(a-b)(a+b)=(16-12)(16+12)=112।
Simplification & Approximation — Series simplification
10. Find the sum of the first 42 natural numbers. / पहली 42 प्राकृतिक संख्याओं का योग ज्ञात करें।
- A. 903 (Correct)
- B. 945
- C. 861
- D. 1764
Explanation: Sum = n(n+1)/2 = 42×43/2 = 903. / योग = n(n+1)/2 = 42×43/2 = 903।
Simplification & Approximation — Division simplification
11. Simplify: 245 ÷ 5 + 24. / सरलीकृत करें: 245 ÷ 5 + 24।
- A. 8.45
- B. 49
- C. 73 (Correct)
- D. 78
Explanation: 245÷5=49; result = 49+24 = 73. / 245÷5=49; परिणाम = 49+24 = 73।
Simplification & Approximation — Multiplication division
12. Simplify: 25 × 5 ÷ 3. / सरलीकृत करें: 25 × 5 ÷ 3।
- A. 38.67
- B. 41.67 (Correct)
- C. 66.67
- D. 44.67
Explanation: 25×5=125; divide by 3: result = 41.67. / 25×5=125; 3 से भाग: परिणाम = 41.67।
Simplification & Approximation — Approx/percentage
13. Increase 1514 by 7%. / 1514 में 7% की वृद्धि करें।
- A. 1619.98 (Correct)
- B. 1408.02
- C. 1626.98
- D. 1612.98
Explanation: New value = 1514×(100+7)/100 = 1619.98. / नया मान = 1514×(100+7)/100 = 1619.98।
Simplification & Approximation — Approx/percentage
14. Decrease 1367 by 8%. / 1367 में 8% की कमी करें।
- A. 1476.36
- B. 1249.64
- C. 1257.64 (Correct)
- D. 1265.64
Explanation: New value = 1367×(100-8)/100 = 1257.64. / नया मान = 1367×(100-8)/100 = 1257.64।
Simplification & Approximation — Powers
15. Simplify: 14³ - 9². / सरलीकृत करें: 14³ - 9²।
- A. 2663 (Correct)
- B. 2825
- C. 2677
- D. 2654
Explanation: 14³=2744 and 9²=81; result = 2744-81=2663. / 14³=2744 और 9²=81; परिणाम = 2744-81=2663।
Simplification & Approximation — Approximation
16. Approximate: 102% of 55 + 98% of 25. / लगभग मान ज्ञात करें: 55 का 102% + 25 का 98%।
- A. 76
- B. 81 (Correct)
- C. 86
- D. 80
Explanation: 102% of 55 ≈ 56.10; 98% of 25 ≈ 24.50; approximate total ≈ 81. / 55 का 102% ≈ 56.10; 25 का 98% ≈ 24.50; लगभग कुल ≈ 81।
Simplification & Approximation — Identity
17. Simplify using identity: (2+3)(2-3). / सर्वसमिका से सरलीकृत करें: (2+3)(2-3)।
- A. 25
- B. -5 (Correct)
- C. 13
- D. 1
Explanation: (a+b)(a-b)=a²-b²=4-9=-5. / (a+b)(a-b)=a²-b²=4-9=-5।
Simplification & Approximation — Missing simplification
18. What will come in place of the question mark: 259 ÷ 11 - 17 = ___ /? के स्थान पर क्या आएगा: 259 ÷ 11 - 17 = ___
- A. 23.55
- B. 6.55 (Correct)
- C. -10.45
- D. -43.17
Explanation: 259÷11=23.55; subtract 17; result = 6.55. / 259÷11=23.55; 17 घटाने पर परिणाम = 6.55।
Simplification & Approximation — BODMAS with square
19. Simplify: (23 + 13 - 4)². / सरलीकृत करें: (23 + 13 - 4)²।
- A. 1024 (Correct)
- B. 1296
- C. 1088
- D. 960
Explanation: First simplify bracket: 23+13-4 = 32; square = 1024. / पहले कोष्ठक सरल करें: 23+13-4 = 32; वर्ग = 1024।
Simplification & Approximation — BODMAS
20. What will come in place of the question mark? 37 + 28 × 7 = ___ / प्रश्नचिह्न के स्थान पर क्या आएगा? 37 + 28 × 7 = ___
- A. 240
- B. 226
- C. 233 (Correct)
- D. 455
Explanation: Apply BODMAS: 28×7=196; 37+196=233. / BODMAS लगाएँ: 28×7=196; 37+196=233।
Simplification & Approximation — Percentage / प्रतिशत
21. 15% of 775 is: / 775 का 15% कितना है?
- A. 106.25
- B. 116.25 (Correct)
- C. 126.25
- D. 136.25
Explanation: 15% = 15/100, so answer = 116.25. / प्रतिशत को 100 से भाग देकर मूल संख्या से गुणा करें।
Simplification & Approximation — Profit-Loss / लाभ-हानि
22. An article bought for Rs 800 is sold at 10% profit. Find SP. / Rs 800 में खरीदी वस्तु 10% लाभ पर बेची गई। SP ज्ञात करें।
- A. Rs 840
- B. Rs 880 (Correct)
- C. Rs 920
- D. Rs 960
Explanation: SP = CP x (100 + profit%)/100 = 800 x 110/100 = Rs 880. / 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. 90 km/h equals: / 90 किमी/घंटा बराबर है:
- A. 22 m/s
- B. 25 m/s (Correct)
- C. 28 m/s
- D. 30 m/s
Explanation: km/h to m/s conversion uses x 5/18. 90 x 5/18 = 25. / किमी/घंटा को मी/से में बदलने के लिए 5/18 से गुणा करें।
Simplification & Approximation — Simplification / सरलीकरण
25. Simplify: 23 x 18 + 23 - 18. / सरल करें: 23 x 18 + 23 - 18.
- A. 411
- B. 419 (Correct)
- C. 427
- D. 435
Explanation: Apply BODMAS: 414 + 23 - 18 = 419. / पहले गुणा, फिर जोड़-घटाव करें।