Simplification & Approximation Test 9

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Batch 4 | Govt Exams

Simplification & Approximation Test 9

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 9 (no login required)

Simplification & Approximation — Algebraic simplification
1. Simplify: 8² - 6². / सरलीकृत करें: 8² - 6²।
- A. 4
- B. 28 (Correct)
- C. 100
- D. 196
Explanation: a²-b²=(a-b)(a+b)=(8-6)(8+6)=28. / a²-b²=(a-b)(a+b)=(8-6)(8+6)=28।
Simplification & Approximation — Series simplification
2. Find the sum of the first 16 natural numbers. / पहली 16 प्राकृतिक संख्याओं का योग ज्ञात करें।
- A. 136 (Correct)
- B. 152
- C. 256
- D. 120
Explanation: Sum = n(n+1)/2 = 16×17/2 = 136. / योग = n(n+1)/2 = 16×17/2 = 136।
Simplification & Approximation — Division simplification
3. Simplify: 138 ÷ 6 + 8. / सरलीकृत करें: 138 ÷ 6 + 8।
- A. 9.86
- B. 23
- C. 37
- D. 31 (Correct)
Explanation: 138÷6=23; result = 23+8 = 31. / 138÷6=23; परिणाम = 23+8 = 31।
Simplification & Approximation — Multiplication division
4. Simplify: 17 × 5 ÷ 2. / सरलीकृत करें: 17 × 5 ÷ 2।
- A. 44.5
- B. 59.5
- C. 40.5
- D. 42.5 (Correct)
Explanation: 17×5=85; divide by 2: result = 42.5. / 17×5=85; 2 से भाग: परिणाम = 42.5।
Simplification & Approximation — Approx/percentage
5. Increase 1882 by 11%. / 1882 में 11% की वृद्धि करें।
- A. 2100.02
- B. 2089.02 (Correct)
- C. 1674.98
- D. 2078.02
Explanation: New value = 1882×(100+11)/100 = 2089.02. / नया मान = 1882×(100+11)/100 = 2089.02।
Simplification & Approximation — Approx/percentage
6. Decrease 1723 by 12%. / 1723 में 12% की कमी करें।
- A. 1929.76
- B. 1516.24 (Correct)
- C. 1528.24
- D. 1504.24
Explanation: New value = 1723×(100-12)/100 = 1516.24. / नया मान = 1723×(100-12)/100 = 1516.24।
Simplification & Approximation — Powers
7. Simplify: 13³ - 13². / सरलीकृत करें: 13³ - 13²।
- A. 2015
- B. 2366
- C. 2028 (Correct)
- D. 2041
Explanation: 13³=2197 and 13²=169; result = 2197-169=2028. / 13³=2197 और 13²=169; परिणाम = 2197-169=2028।
Simplification & Approximation — Approximation
8. Approximate: 102% of 69 + 98% of 49. / लगभग मान ज्ञात करें: 69 का 102% + 49 का 98%।
- A. 118 (Correct)
- B. 123
- C. 113
- D. 119
Explanation: 102% of 69 ≈ 70.38; 98% of 49 ≈ 48.02; approximate total ≈ 118. / 69 का 102% ≈ 70.38; 49 का 98% ≈ 48.02; लगभग कुल ≈ 118।
Simplification & Approximation — Identity
9. Simplify using identity: (3+4)(3-4). / सर्वसमिका से सरलीकृत करें: (3+4)(3-4)।
- A. -7 (Correct)
- B. 25
- C. 49
- D. 1
Explanation: (a+b)(a-b)=a²-b²=9-16=-7. / (a+b)(a-b)=a²-b²=9-16=-7।
Simplification & Approximation — Missing simplification
10. What will come in place of the question mark: 347 ÷ 11 - 21 = ___ /? के स्थान पर क्या आएगा: 347 ÷ 11 - 21 = ___
- A. -10.45
- B. 31.55
- C. -34.7
- D. 10.55 (Correct)
Explanation: 347÷11=31.55; subtract 21; result = 10.55. / 347÷11=31.55; 21 घटाने पर परिणाम = 10.55।
Simplification & Approximation — BODMAS with square
11. Simplify: (27 + 7 - 5)². / सरलीकृत करें: (27 + 7 - 5)²।
- A. 841 (Correct)
- B. 1156
- C. 899
- D. 783
Explanation: First simplify bracket: 27+7-5 = 29; square = 841. / पहले कोष्ठक सरल करें: 27+7-5 = 29; वर्ग = 841।
Simplification & Approximation — BODMAS
12. What will come in place of the question mark? 49 + 36 × 7 = ___ / प्रश्नचिह्न के स्थान पर क्या आएगा? 49 + 36 × 7 = ___
- A. 595
- B. 301 (Correct)
- C. 294
- D. 308
Explanation: Apply BODMAS: 36×7=252; 49+252=301. / BODMAS लगाएँ: 36×7=252; 49+252=301।
Simplification & Approximation — Percentage simplification
13. Find 55% of 735. / 735 का 55% ज्ञात करें।
- A. 349.25
- B. 459.25
- C. 404.25 (Correct)
- D. 13.36
Explanation: 55% of 735 = 55/100×735 = 404.25. / 735 का 55% = 55/100×735 = 404.25।
Simplification & Approximation — Algebraic simplification
14. Simplify: 12² - 12². / सरलीकृत करें: 12² - 12²।
- A. 576
- B. 1
- C. 0 (Correct)
- D. 288
Explanation: a²-b²=(a-b)(a+b)=(12-12)(12+12)=0. / a²-b²=(a-b)(a+b)=(12-12)(12+12)=0।
Simplification & Approximation — Series simplification
15. Find the sum of the first 32 natural numbers. / पहली 32 प्राकृतिक संख्याओं का योग ज्ञात करें।
- A. 1024
- B. 496
- C. 560
- D. 528 (Correct)
Explanation: Sum = n(n+1)/2 = 32×33/2 = 528. / योग = n(n+1)/2 = 32×33/2 = 528।
Simplification & Approximation — Division simplification
16. Simplify: 156 ÷ 4 + 24. / सरलीकृत करें: 156 ÷ 4 + 24।
- A. 67
- B. 63 (Correct)
- C. 5.57
- D. 39
Explanation: 156÷4=39; result = 39+24 = 63. / 156÷4=39; परिणाम = 39+24 = 63।
Simplification & Approximation — Multiplication division
17. Simplify: 15 × 5 ÷ 3. / सरलीकृत करें: 15 × 5 ÷ 3।
- A. 28
- B. 25 (Correct)
- C. 22
- D. 40
Explanation: 15×5=75; divide by 3: result = 25. / 15×5=75; 3 से भाग: परिणाम = 25।
Simplification & Approximation — Approx/percentage
18. Increase 2474 by 12%. / 2474 में 12% की वृद्धि करें।
- A. 2782.88
- B. 2177.12
- C. 2758.88
- D. 2770.88 (Correct)
Explanation: New value = 2474×(100+12)/100 = 2770.88. / नया मान = 2474×(100+12)/100 = 2770.88।
Simplification & Approximation — Approx/percentage
19. Decrease 2187 by 8%. / 2187 में 8% की कमी करें।
- A. 2020.04
- B. 2012.04 (Correct)
- C. 2361.96
- D. 2004.04
Explanation: New value = 2187×(100-8)/100 = 2012.04. / नया मान = 2187×(100-8)/100 = 2012.04।
Simplification & Approximation — Powers
20. Simplify: 16³ - 9². / सरलीकृत करें: 16³ - 9²।
- A. 4015 (Correct)
- B. 4006
- C. 4177
- D. 4031
Explanation: 16³=4096 and 9²=81; result = 4096-81=4015. / 16³=4096 और 9²=81; परिणाम = 4096-81=4015।
Simplification & Approximation — Percentage / प्रतिशत
21. 18% of 700 is: / 700 का 18% कितना है?
- A. 116
- B. 126 (Correct)
- C. 136
- D. 146
Explanation: 18% = 18/100, so answer = 126. / प्रतिशत को 100 से भाग देकर मूल संख्या से गुणा करें।
Simplification & Approximation — Profit-Loss / लाभ-हानि
22. An article bought for Rs 950 is sold at 20% profit. Find SP. / Rs 950 में खरीदी वस्तु 20% लाभ पर बेची गई। SP ज्ञात करें।
- A. Rs 1100
- B. Rs 1140 (Correct)
- C. Rs 1180
- D. Rs 1220
Explanation: SP = CP x (100 + profit%)/100 = 950 x 120/100 = Rs 1140. / 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. 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: 20 x 13 + 20 - 13. / सरल करें: 20 x 13 + 20 - 13.
- A. 259
- B. 267 (Correct)
- C. 275
- D. 283
Explanation: Apply BODMAS: 260 + 20 - 13 = 267. / पहले गुणा, फिर जोड़-घटाव करें।