Simplification & Approximation Test 1

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Batch 4 | Govt Exams

Simplification & Approximation Test 1

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 1 (no login required)

Simplification & Approximation — BODMAS
1. What will come in place of the question mark? 13 + 12 × 7 = ___ / प्रश्नचिह्न के स्थान पर क्या आएगा? 13 + 12 × 7 = ___
- A. 97 (Correct)
- B. 90
- C. 104
- D. 175
Explanation: Apply BODMAS: 12×7=84; 13+84=97. / BODMAS लगाएँ: 12×7=84; 13+84=97।
Simplification & Approximation — Square root
2. √? = 14. Find?. / √? = 14.? ज्ञात करें।
- A. 168
- B. 14
- C. 224
- D. 196 (Correct)
Explanation: If √? = 14, then? = 14² = 196. / यदि √? = 14, तो? = 14² = 196।
Simplification & Approximation — Percentage simplification
3. Find 23% of 339. / 339 का 23% ज्ञात करें।
- A. 54.97
- B. 14.74
- C. 100.97
- D. 77.97 (Correct)
Explanation: 23% of 339 = 23/100×339 = 77.97. / 339 का 23% = 23/100×339 = 77.97।
Simplification & Approximation — Algebraic simplification
4. Simplify: 12² - 10². / सरलीकृत करें: 12² - 10²।
- A. 244
- B. 484
- C. 44 (Correct)
- D. 4
Explanation: a²-b²=(a-b)(a+b)=(12-10)(12+10)=44. / a²-b²=(a-b)(a+b)=(12-10)(12+10)=44।
Simplification & Approximation — Series simplification
5. Find the sum of the first 20 natural numbers. / पहली 20 प्राकृतिक संख्याओं का योग ज्ञात करें।
- A. 210 (Correct)
- B. 190
- C. 230
- D. 400
Explanation: Sum = n(n+1)/2 = 20×21/2 = 210. / योग = n(n+1)/2 = 20×21/2 = 210।
Simplification & Approximation — Square identity
6. Simplify: (12+9)². / सरलीकृत करें: (12+9)²।
- A. 453
- B. 225
- C. 441 (Correct)
- D. 432
Explanation: (12+9)² = 21² = 441. / (12+9)² = 21² = 441।
Simplification & Approximation — Division simplification
7. Simplify: 270 ÷ 10 + 12. / सरलीकृत करें: 270 ÷ 10 + 12।
- A. 12.27
- B. 39 (Correct)
- C. 49
- D. 27
Explanation: 270÷10=27; result = 27+12 = 39. / 270÷10=27; परिणाम = 27+12 = 39।
Simplification & Approximation — Square root
8. Find √784. / √784 ज्ञात करें।
- A. 29
- B. 30
- C. 28 (Correct)
- D. 27
Explanation: Since 28² = 784, √784 = 28. / क्योंकि 28² = 784, √784 = 28।
Simplification & Approximation — Multiplication division
9. Simplify: 21 × 5 ÷ 6. / सरलीकृत करें: 21 × 5 ÷ 6।
- A. 11.5
- B. 23.5
- C. 38.5
- D. 17.5 (Correct)
Explanation: 21×5=105; divide by 6: result = 17.5. / 21×5=105; 6 से भाग: परिणाम = 17.5।
Simplification & Approximation — Approx/percentage
10. Increase 1370 by 15%. / 1370 में 15% की वृद्धि करें।
- A. 1164.5
- B. 1575.5 (Correct)
- C. 1560.5
- D. 1590.5
Explanation: New value = 1370×(100+15)/100 = 1575.5. / नया मान = 1370×(100+15)/100 = 1575.5।
Simplification & Approximation — Approx/percentage
11. Decrease 1119 by 16%. / 1119 में 16% की कमी करें।
- A. 923.96
- B. 955.96
- C. 939.96 (Correct)
- D. 1298.04
Explanation: New value = 1119×(100-16)/100 = 939.96. / नया मान = 1119×(100-16)/100 = 939.96।
Simplification & Approximation — Powers
12. Simplify: 19³ - 7². / सरलीकृत करें: 19³ - 7²।
- A. 6803
- B. 6908
- C. 6829
- D. 6810 (Correct)
Explanation: 19³=6859 and 7²=49; result = 6859-49=6810. / 19³=6859 और 7²=49; परिणाम = 6859-49=6810।
Simplification & Approximation — Approximation
13. Approximate: 102% of 43 + 98% of 33. / लगभग मान ज्ञात करें: 43 का 102% + 33 का 98%।
- A. 81
- B. 76 (Correct)
- C. 77
- D. 71
Explanation: 102% of 43 ≈ 43.86; 98% of 33 ≈ 32.34; approximate total ≈ 76. / 43 का 102% ≈ 43.86; 33 का 98% ≈ 32.34; लगभग कुल ≈ 76।
Simplification & Approximation — Identity
14. Simplify using identity: (7+3)(7-3). / सर्वसमिका से सरलीकृत करें: (7+3)(7-3)।
- A. 100
- B. 40 (Correct)
- C. 58
- D. 16
Explanation: (a+b)(a-b)=a²-b²=49-9=40. / (a+b)(a-b)=a²-b²=49-9=40।
Simplification & Approximation — Missing simplification
15. What will come in place of the question mark: 355 ÷ 11 - 25 = ___ /? के स्थान पर क्या आएगा: 355 ÷ 11 - 25 = ___
- A. 32.27
- B. -17.73
- C. 7.27 (Correct)
- D. -25.36
Explanation: 355÷11=32.27; subtract 25; result = 7.27. / 355÷11=32.27; 25 घटाने पर परिणाम = 7.27।
Simplification & Approximation — BODMAS with square
16. Simplify: (31 + 11 - 4)². / सरलीकृत करें: (31 + 11 - 4)²।
- A. 1368
- B. 1764
- C. 1520
- D. 1444 (Correct)
Explanation: First simplify bracket: 31+11-4 = 38; square = 1444. / पहले कोष्ठक सरल करें: 31+11-4 = 38; वर्ग = 1444।
Simplification & Approximation — BODMAS
17. What will come in place of the question mark? 61 + 44 × 7 = ___ / प्रश्नचिह्न के स्थान पर क्या आएगा? 61 + 44 × 7 = ___
- A. 362
- B. 735
- C. 376
- D. 369 (Correct)
Explanation: Apply BODMAS: 44×7=308; 61+308=369. / BODMAS लगाएँ: 44×7=308; 61+308=369।
Simplification & Approximation — Square root
18. √? = 30. Find?. / √? = 30.? ज्ञात करें।
- A. 960
- B. 30
- C. 840
- D. 900 (Correct)
Explanation: If √? = 30, then? = 30² = 900. / यदि √? = 30, तो? = 30² = 900।
Simplification & Approximation — Percentage simplification
19. Find 39% of 547. / 547 का 39% ज्ञात करें।
- A. 14.03
- B. 174.33
- C. 252.33
- D. 213.33 (Correct)
Explanation: 39% of 547 = 39/100×547 = 213.33. / 547 का 39% = 39/100×547 = 213.33।
Simplification & Approximation — Algebraic simplification
20. Simplify: 16² - 6². / सरलीकृत करें: 16² - 6²।
- A. 220 (Correct)
- B. 292
- C. 100
- D. 484
Explanation: a²-b²=(a-b)(a+b)=(16-6)(16+6)=220. / a²-b²=(a-b)(a+b)=(16-6)(16+6)=220।
Simplification & Approximation — Percentage / प्रतिशत
21. 15% of 450 is: / 450 का 15% कितना है?
- A. 57.5
- B. 67.5 (Correct)
- C. 77.5
- D. 87.5
Explanation: 15% = 15/100, so answer = 67.5. / 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 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. 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: 19 x 17 + 19 - 17. / सरल करें: 19 x 17 + 19 - 17.
- A. 317
- B. 325 (Correct)
- C. 333
- D. 341
Explanation: Apply BODMAS: 323 + 19 - 17 = 325. / पहले गुणा, फिर जोड़-घटाव करें।