Simplification & Approximation Test 14
Bilingual timed test with clean question text, preserved symbols and detailed solutions.
Simplification & Approximation Test 14
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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- Simplification & Approximation — Percentage simplification
1. Find 23% of 999. / 999 का 23% ज्ञात करें।
- A. 43.43
- B. 229.77 (Correct)
- C. 252.77
- D. 206.77
Explanation: 23% of 999 = 23/100×999 = 229.77. / 999 का 23% = 23/100×999 = 229.77।
- Simplification & Approximation — Division simplification
2. Simplify: 282 ÷ 6 + 12. / सरलीकृत करें: 282 ÷ 6 + 12।
- A. 15.67
- B. 65
- C. 47
- D. 59 (Correct)
Explanation: 282÷6=47; result = 47+12 = 59. / 282÷6=47; परिणाम = 47+12 = 59।
- Simplification & Approximation — Multiplication division
3. Simplify: 17 × 5 ÷ 6. / सरलीकृत करें: 17 × 5 ÷ 6।
- A. 31.17
- B. 8.17
- C. 20.17
- D. 14.17 (Correct)
Explanation: 17×5=85; divide by 6: result = 14.17. / 17×5=85; 6 से भाग: परिणाम = 14.17।
- Simplification & Approximation — Approx/percentage
4. Increase 1210 by 5%. / 1210 में 5% की वृद्धि करें।
- A. 1270.5 (Correct)
- B. 1265.5
- C. 1149.5
- D. 1275.5
Explanation: New value = 1210×(100+5)/100 = 1270.5. / नया मान = 1210×(100+5)/100 = 1270.5।
- Simplification & Approximation — Approx/percentage
5. Decrease 1399 by 16%. / 1399 में 16% की कमी करें।
- A. 1159.16
- B. 1191.16
- C. 1175.16 (Correct)
- D. 1622.84
Explanation: New value = 1399×(100-16)/100 = 1175.16. / नया मान = 1399×(100-16)/100 = 1175.16।
- Simplification & Approximation — Powers
6. Simplify: 14³ - 7². / सरलीकृत करें: 14³ - 7²।
- A. 2709
- B. 2695 (Correct)
- C. 2688
- D. 2793
Explanation: 14³=2744 and 7²=49; result = 2744-49=2695. / 14³=2744 और 7²=49; परिणाम = 2744-49=2695।
- Simplification & Approximation — Approximation
7. Approximate: 102% of 63 + 98% of 33. / लगभग मान ज्ञात करें: 63 का 102% + 33 का 98%।
- A. 92
- B. 102
- C. 97 (Correct)
- D. 96
Explanation: 102% of 63 ≈ 64.26; 98% of 33 ≈ 32.34; approximate total ≈ 97. / 63 का 102% ≈ 64.26; 33 का 98% ≈ 32.34; लगभग कुल ≈ 97।
- Simplification & Approximation — Identity
8. Simplify using identity: (3+8)(3-8). / सर्वसमिका से सरलीकृत करें: (3+8)(3-8)।
- A. 25
- B. -55 (Correct)
- C. 73
- D. 121
Explanation: (a+b)(a-b)=a²-b²=9-64=-55. / (a+b)(a-b)=a²-b²=9-64=-55।
- Simplification & Approximation — Missing simplification
9. What will come in place of the question mark: 295 ÷ 11 - 25 = ___ /? के स्थान पर क्या आएगा: 295 ÷ 11 - 25 = ___
- A. -21.07
- B. -23.18
- C. 26.82
- D. 1.82 (Correct)
Explanation: 295÷11=26.82; subtract 25; result = 1.82. / 295÷11=26.82; 25 घटाने पर परिणाम = 1.82।
- Simplification & Approximation — BODMAS with square
10. Simplify: (31 + 11 - 2)². / सरलीकृत करें: (31 + 11 - 2)²।
- A. 1520
- B. 1600 (Correct)
- C. 1764
- D. 1680
Explanation: First simplify bracket: 31+11-2 = 40; square = 1600. / पहले कोष्ठक सरल करें: 31+11-2 = 40; वर्ग = 1600।
- Simplification & Approximation — Percentage simplification
11. Find 39% of 507. / 507 का 39% ज्ञात करें।
- A. 197.73 (Correct)
- B. 236.73
- C. 13
- D. 158.73
Explanation: 39% of 507 = 39/100×507 = 197.73. / 507 का 39% = 39/100×507 = 197.73।
- Simplification & Approximation — Division simplification
12. Simplify: 132 ÷ 4 + 8. / सरलीकृत करें: 132 ÷ 4 + 8।
- A. 11
- B. 41 (Correct)
- C. 45
- D. 33
Explanation: 132÷4=33; result = 33+8 = 41. / 132÷4=33; परिणाम = 33+8 = 41।
- Simplification & Approximation — Multiplication division
13. Simplify: 15 × 5 ÷ 2. / सरलीकृत करें: 15 × 5 ÷ 2।
- A. 39.5
- B. 37.5 (Correct)
- C. 35.5
- D. 52.5
Explanation: 15×5=75; divide by 2: result = 37.5. / 15×5=75; 2 से भाग: परिणाम = 37.5।
- Simplification & Approximation — Approx/percentage
14. Increase 1802 by 6%. / 1802 में 6% की वृद्धि करें।
- A. 1910.12 (Correct)
- B. 1916.12
- C. 1693.88
- D. 1904.12
Explanation: New value = 1802×(100+6)/100 = 1910.12. / नया मान = 1802×(100+6)/100 = 1910.12।
- Simplification & Approximation — Approx/percentage
15. Decrease 1863 by 12%. / 1863 में 12% की कमी करें।
- A. 1651.44
- B. 1639.44 (Correct)
- C. 1627.44
- D. 2086.56
Explanation: New value = 1863×(100-12)/100 = 1639.44. / नया मान = 1863×(100-12)/100 = 1639.44।
- Simplification & Approximation — Powers
16. Simplify: 17³ - 13². / सरलीकृत करें: 17³ - 13²।
- A. 5082
- B. 4744 (Correct)
- C. 4761
- D. 4731
Explanation: 17³=4913 and 13²=169; result = 4913-169=4744. / 17³=4913 और 13²=169; परिणाम = 4913-169=4744।
- Simplification & Approximation — Approximation
17. Approximate: 102% of 79 + 98% of 49. / लगभग मान ज्ञात करें: 79 का 102% + 49 का 98%।
- A. 124
- B. 129 (Correct)
- C. 134
- D. 128
Explanation: 102% of 79 ≈ 80.58; 98% of 49 ≈ 48.02; approximate total ≈ 129. / 79 का 102% ≈ 80.58; 49 का 98% ≈ 48.02; लगभग कुल ≈ 129।
- Simplification & Approximation — Identity
18. Simplify using identity: (10+3)(10-3). / सर्वसमिका से सरलीकृत करें: (10+3)(10-3)।
- A. 169
- B. 49
- C. 109
- D. 91 (Correct)
Explanation: (a+b)(a-b)=a²-b²=100-9=91. / (a+b)(a-b)=a²-b²=100-9=91।
- Simplification & Approximation — Missing simplification
19. What will come in place of the question mark: 567 ÷ 11 - 21 = ___ /? के स्थान पर क्या आएगा: 567 ÷ 11 - 21 = ___
- A. -56.7
- B. 30.55 (Correct)
- C. 51.55
- D. 9.55
Explanation: 567÷11=51.55; subtract 21; result = 30.55. / 567÷11=51.55; 21 घटाने पर परिणाम = 30.55।
- Simplification & Approximation — BODMAS with square
20. Simplify: (27 + 7 - 4)². / सरलीकृत करें: (27 + 7 - 4)²।
- A. 1156
- B. 900 (Correct)
- C. 960
- D. 840
Explanation: First simplify bracket: 27+7-4 = 30; square = 900. / पहले कोष्ठक सरल करें: 27+7-4 = 30; वर्ग = 900।
- Simplification & Approximation — Percentage / प्रतिशत
21. 18% of 575 is: / 575 का 18% कितना है?
- A. 93.5
- B. 103.5 (Correct)
- C. 113.5
- D. 123.5
Explanation: 18% = 18/100, so answer = 103.5. / 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 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. 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: 24 x 14 + 24 - 14. / सरल करें: 24 x 14 + 24 - 14.
- A. 338
- B. 346 (Correct)
- C. 354
- D. 362
Explanation: Apply BODMAS: 336 + 24 - 14 = 346. / पहले गुणा, फिर जोड़-घटाव करें।