Simplification & Approximation Test 2

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Batch 4 | Govt Exams

Simplification & Approximation Test 2

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 2 (no login required)

Simplification & Approximation — Series simplification
1. Find the sum of the first 36 natural numbers. / पहली 36 प्राकृतिक संख्याओं का योग ज्ञात करें।
- A. 1296
- B. 630
- C. 666 (Correct)
- D. 702
Explanation: Sum = n(n+1)/2 = 36×37/2 = 666. / योग = n(n+1)/2 = 36×37/2 = 666।
Simplification & Approximation — Square identity
2. Simplify: (8+5)². / सरलीकृत करें: (8+5)²।
- A. 164
- B. 169 (Correct)
- C. 177
- D. 89
Explanation: (8+5)² = 13² = 169. / (8+5)² = 13² = 169।
Simplification & Approximation — Division simplification
3. Simplify: 344 ÷ 8 + 8. / सरलीकृत करें: 344 ÷ 8 + 8।
- A. 21.5
- B. 59
- C. 43
- D. 51 (Correct)
Explanation: 344÷8=43; result = 43+8 = 51. / 344÷8=43; परिणाम = 43+8 = 51।
Simplification & Approximation — Square root
4. Find √576. / √576 ज्ञात करें।
- A. 25
- B. 23
- C. 24 (Correct)
- D. 26
Explanation: Since 24² = 576, √576 = 24. / क्योंकि 24² = 576, √576 = 24।
Simplification & Approximation — Multiplication division
5. Simplify: 19 × 5 ÷ 2. / सरलीकृत करें: 19 × 5 ÷ 2।
- A. 49.5
- B. 66.5
- C. 47.5 (Correct)
- D. 45.5
Explanation: 19×5=95; divide by 2: result = 47.5. / 19×5=95; 2 से भाग: परिणाम = 47.5।
Simplification & Approximation — Approx/percentage
6. Increase 1962 by 16%. / 1962 में 16% की वृद्धि करें।
- A. 2275.92 (Correct)
- B. 1648.08
- C. 2259.92
- D. 2291.92
Explanation: New value = 1962×(100+16)/100 = 2275.92. / नया मान = 1962×(100+16)/100 = 2275.92।
Simplification & Approximation — Approx/percentage
7. Decrease 1583 by 12%. / 1583 में 12% की कमी करें।
- A. 1405.04
- B. 1772.96
- C. 1381.04
- D. 1393.04 (Correct)
Explanation: New value = 1583×(100-12)/100 = 1393.04. / नया मान = 1583×(100-12)/100 = 1393.04।
Simplification & Approximation — Powers
8. Simplify: 9³ - 13². / सरलीकृत करें: 9³ - 13²।
- A. 547
- B. 569
- C. 560 (Correct)
- D. 898
Explanation: 9³=729 and 13²=169; result = 729-169=560. / 9³=729 और 13²=169; परिणाम = 729-169=560।
Simplification & Approximation — Approximation
9. Approximate: 102% of 59 + 98% of 49. / लगभग मान ज्ञात करें: 59 का 102% + 49 का 98%।
- A. 108 (Correct)
- B. 109
- C. 113
- D. 103
Explanation: 102% of 59 ≈ 60.18; 98% of 49 ≈ 48.02; approximate total ≈ 108. / 59 का 102% ≈ 60.18; 49 का 98% ≈ 48.02; लगभग कुल ≈ 108।
Simplification & Approximation — Identity
10. Simplify using identity: (5+5)(5-5). / सर्वसमिका से सरलीकृत करें: (5+5)(5-5)।
- A. 100
- B. 0 (Correct)
- C. 1
- D. 50
Explanation: (a+b)(a-b)=a²-b²=25-25=0. / (a+b)(a-b)=a²-b²=25-25=0।
Simplification & Approximation — Missing simplification
11. What will come in place of the question mark: 127 ÷ 11 - 21 = ___ /? के स्थान पर क्या आएगा: 127 ÷ 11 - 21 = ___
- A. -12.7
- B. 11.55
- C. -9.45 (Correct)
- D. -30.45
Explanation: 127÷11=11.55; subtract 21; result = -9.45. / 127÷11=11.55; 21 घटाने पर परिणाम = -9.45।
Simplification & Approximation — BODMAS with square
12. Simplify: (27 + 7 - 6)². / सरलीकृत करें: (27 + 7 - 6)²।
- A. 728
- B. 1156
- C. 784 (Correct)
- D. 840
Explanation: First simplify bracket: 27+7-6 = 28; square = 784. / पहले कोष्ठक सरल करें: 27+7-6 = 28; वर्ग = 784।
Simplification & Approximation — BODMAS
13. What will come in place of the question mark? 19 + 36 × 7 = ___ / प्रश्नचिह्न के स्थान पर क्या आएगा? 19 + 36 × 7 = ___
- A. 278
- B. 264
- C. 271 (Correct)
- D. 385
Explanation: Apply BODMAS: 36×7=252; 19+252=271. / BODMAS लगाएँ: 36×7=252; 19+252=271।
Simplification & Approximation — Square root
14. √? = 26. Find?. / √? = 26.? ज्ञात करें।
- A. 26
- B. 676 (Correct)
- C. 624
- D. 728
Explanation: If √? = 26, then? = 26² = 676. / यदि √? = 26, तो? = 26² = 676।
Simplification & Approximation — Percentage simplification
15. Find 55% of 755. / 755 का 55% ज्ञात करें।
- A. 470.25
- B. 415.25 (Correct)
- C. 360.25
- D. 13.73
Explanation: 55% of 755 = 55/100×755 = 415.25. / 755 का 55% = 55/100×755 = 415.25।
Simplification & Approximation — Algebraic simplification
16. Simplify: 8² - 12². / सरलीकृत करें: 8² - 12²।
- A. 400
- B. 208
- C. 16
- D. -80 (Correct)
Explanation: a²-b²=(a-b)(a+b)=(8-12)(8+12)=-80. / a²-b²=(a-b)(a+b)=(8-12)(8+12)=-80।
Simplification & Approximation — Series simplification
17. Find the sum of the first 22 natural numbers. / पहली 22 प्राकृतिक संख्याओं का योग ज्ञात करें।
- A. 253 (Correct)
- B. 231
- C. 275
- D. 484
Explanation: Sum = n(n+1)/2 = 22×23/2 = 253. / योग = n(n+1)/2 = 22×23/2 = 253।
Simplification & Approximation — Square identity
18. Simplify: (24+11)². / सरलीकृत करें: (24+11)²।
- A. 697
- B. 1249
- C. 1225 (Correct)
- D. 1214
Explanation: (24+11)² = 35² = 1225. / (24+11)² = 35² = 1225।
Simplification & Approximation — Division simplification
19. Simplify: 174 ÷ 6 + 24. / सरलीकृत करें: 174 ÷ 6 + 24।
- A. 59
- B. 5.8
- C. 29
- D. 53 (Correct)
Explanation: 174÷6=29; result = 29+24 = 53. / 174÷6=29; परिणाम = 29+24 = 53।
Simplification & Approximation — Square root
20. Find √400. / √400 ज्ञात करें।
- A. 22
- B. 19
- C. 20 (Correct)
- D. 21
Explanation: Since 20² = 400, √400 = 20. / क्योंकि 20² = 400, √400 = 20।
Simplification & Approximation — Percentage / प्रतिशत
21. 20% of 425 is: / 425 का 20% कितना है?
- A. 75
- B. 85 (Correct)
- C. 95
- D. 105
Explanation: 20% = 20/100, so answer = 85. / प्रतिशत को 100 से भाग देकर मूल संख्या से गुणा करें।
Simplification & Approximation — Profit-Loss / लाभ-हानि
22. An article bought for Rs 1000 is sold at 10% profit. Find SP. / Rs 1000 में खरीदी वस्तु 10% लाभ पर बेची गई। SP ज्ञात करें।
- A. Rs 1060
- B. Rs 1100 (Correct)
- C. Rs 1140
- D. Rs 1180
Explanation: SP = CP x (100 + profit%)/100 = 1000 x 110/100 = Rs 1100. / लाभ प्रतिशत जोड़कर विक्रय मूल्य निकालें।
Simplification & Approximation — Time & Work / समय और कार्य
23. A finishes a work in 12 days and B in 18 days. Together they finish in: / A 12 दिन और B 18 दिन में काम पूरा करते हैं। साथ में समय?
- A. 6.2 days
- B. 7.2 days (Correct)
- C. 8.2 days
- D. 9.2 days
Explanation: Combined time = ab/(a+b) = 12 x 18 / 30 = 7.2 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: 18 x 13 + 18 - 13. / सरल करें: 18 x 13 + 18 - 13.
- A. 231
- B. 239 (Correct)
- C. 247
- D. 255
Explanation: Apply BODMAS: 234 + 18 - 13 = 239. / पहले गुणा, फिर जोड़-घटाव करें।