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Simplification & Approximation Test 10
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Simplification & Approximation Test 10

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Batch 4 | Govt Exams

Simplification & Approximation Test 10

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
25
Duration
25 min
Marking
+1 / -0.25
Sections
Simplification & Approximation | 25 questions

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Preview all 25 questions in Simplification & Approximation Test 10 (no login required)
  1. Simplification & Approximation — Approximation

    1. Approximate: 102% of 35 + 98% of 25. / लगभग मान ज्ञात करें: 35 का 102% + 25 का 98%।

    • A. 65
    • B. 60 (Correct)
    • C. 61
    • D. 55

    Explanation: 102% of 35 ≈ 35.70; 98% of 25 ≈ 24.50; approximate total ≈ 60. / 35 का 102% ≈ 35.70; 25 का 98% ≈ 24.50; लगभग कुल ≈ 60।

  2. Simplification & Approximation — Identity

    2. Simplify using identity: (10+6)(10-6). / सर्वसमिका से सरलीकृत करें: (10+6)(10-6)।

    • A. 16
    • B. 256
    • C. 64 (Correct)
    • D. 136

    Explanation: (a+b)(a-b)=a²-b²=100-36=64. / (a+b)(a-b)=a²-b²=100-36=64।

  3. Simplification & Approximation — Missing simplification

    3. What will come in place of the question mark: 119 ÷ 11 - 17 = ___ /? के स्थान पर क्या आएगा: 119 ÷ 11 - 17 = ___

    • A. -23.18
    • B. 10.82
    • C. -6.18 (Correct)
    • D. -19.83

    Explanation: 119÷11=10.82; subtract 17; result = -6.18. / 119÷11=10.82; 17 घटाने पर परिणाम = -6.18।

  4. Simplification & Approximation — BODMAS with square

    4. Simplify: (23 + 13 - 7)². / सरलीकृत करें: (23 + 13 - 7)²।

    • A. 841 (Correct)
    • B. 899
    • C. 783
    • D. 1296

    Explanation: First simplify bracket: 23+13-7 = 29; square = 841. / पहले कोष्ठक सरल करें: 23+13-7 = 29; वर्ग = 841।

  5. Simplification & Approximation — BODMAS

    5. What will come in place of the question mark? 97 + 28 × 7 = ___ / प्रश्नचिह्न के स्थान पर क्या आएगा? 97 + 28 × 7 = ___

    • A. 875
    • B. 286
    • C. 300
    • D. 293 (Correct)

    Explanation: Apply BODMAS: 28×7=196; 97+196=293. / BODMAS लगाएँ: 28×7=196; 97+196=293।

  6. Simplification & Approximation — Percentage simplification

    6. Find 31% of 943. / 943 का 31% ज्ञात करें।

    • A. 30.42
    • B. 261.33
    • C. 292.33 (Correct)
    • D. 323.33

    Explanation: 31% of 943 = 31/100×943 = 292.33. / 943 का 31% = 31/100×943 = 292.33।

  7. Simplification & Approximation — Algebraic simplification

    7. Simplify: 16² - 8². / सरलीकृत करें: 16² - 8²।

    • A. 192 (Correct)
    • B. 576
    • C. 64
    • D. 320

    Explanation: a²-b²=(a-b)(a+b)=(16-8)(16+8)=192. / a²-b²=(a-b)(a+b)=(16-8)(16+8)=192।

  8. Simplification & Approximation — Series simplification

    8. Find the sum of the first 18 natural numbers. / पहली 18 प्राकृतिक संख्याओं का योग ज्ञात करें।

    • A. 171 (Correct)
    • B. 324
    • C. 189
    • D. 153

    Explanation: Sum = n(n+1)/2 = 18×19/2 = 171. / योग = n(n+1)/2 = 18×19/2 = 171।

  9. Simplification & Approximation — Division simplification

    9. Simplify: 275 ÷ 11 + 20. / सरलीकृत करें: 275 ÷ 11 + 20।

    • A. 8.87
    • B. 45 (Correct)
    • C. 25
    • D. 56

    Explanation: 275÷11=25; result = 25+20 = 45. / 275÷11=25; परिणाम = 25+20 = 45।

  10. Simplification & Approximation — Multiplication division

    10. Simplify: 13 × 5 ÷ 4. / सरलीकृत करें: 13 × 5 ÷ 4।

    • A. 12.25
    • B. 29.25
    • C. 16.25 (Correct)
    • D. 20.25

    Explanation: 13×5=65; divide by 4: result = 16.25. / 13×5=65; 4 से भाग: परिणाम = 16.25।

  11. Simplification & Approximation — Approx/percentage

    11. Increase 1066 by 13%. / 1066 में 13% की वृद्धि करें।

    • A. 927.42
    • B. 1204.58 (Correct)
    • C. 1191.58
    • D. 1217.58

    Explanation: New value = 1066×(100+13)/100 = 1204.58. / नया मान = 1066×(100+13)/100 = 1204.58।

  12. Simplification & Approximation — Approx/percentage

    12. Decrease 1151 by 24%. / 1151 में 24% की कमी करें।

    • A. 850.76
    • B. 898.76
    • C. 874.76 (Correct)
    • D. 1427.24

    Explanation: New value = 1151×(100-24)/100 = 874.76. / नया मान = 1151×(100-24)/100 = 874.76।

  13. Simplification & Approximation — Powers

    13. Simplify: 19³ - 5². / सरलीकृत करें: 19³ - 5²।

    • A. 6834 (Correct)
    • B. 6829
    • C. 6853
    • D. 6884

    Explanation: 19³=6859 and 5²=25; result = 6859-25=6834. / 19³=6859 और 5²=25; परिणाम = 6859-25=6834।

  14. Simplification & Approximation — Approximation

    14. Approximate: 102% of 51 + 98% of 41. / लगभग मान ज्ञात करें: 51 का 102% + 41 का 98%।

    • A. 93
    • B. 87
    • C. 92 (Correct)
    • D. 97

    Explanation: 102% of 51 ≈ 52.02; 98% of 41 ≈ 40.18; approximate total ≈ 92. / 51 का 102% ≈ 52.02; 41 का 98% ≈ 40.18; लगभग कुल ≈ 92।

  15. Simplification & Approximation — Identity

    15. Simplify using identity: (8+8)(8-8). / सर्वसमिका से सरलीकृत करें: (8+8)(8-8)।

    • A. 128
    • B. 256
    • C. 0 (Correct)
    • D. 1

    Explanation: (a+b)(a-b)=a²-b²=64-64=0. / (a+b)(a-b)=a²-b²=64-64=0।

  16. Simplification & Approximation — Missing simplification

    16. What will come in place of the question mark: 391 ÷ 11 - 13 = ___ /? के स्थान पर क्या आएगा: 391 ÷ 11 - 13 = ___

    • A. -195.5
    • B. 9.55
    • C. 35.55
    • D. 22.55 (Correct)

    Explanation: 391÷11=35.55; subtract 13; result = 22.55. / 391÷11=35.55; 13 घटाने पर परिणाम = 22.55।

  17. Simplification & Approximation — BODMAS with square

    17. Simplify: (19 + 9 - 2)². / सरलीकृत करें: (19 + 9 - 2)²।

    • A. 728
    • B. 784
    • C. 624
    • D. 676 (Correct)

    Explanation: First simplify bracket: 19+9-2 = 26; square = 676. / पहले कोष्ठक सरल करें: 19+9-2 = 26; वर्ग = 676।

  18. Simplification & Approximation — BODMAS

    18. What will come in place of the question mark? 55 + 20 × 7 = ___ / प्रश्नचिह्न के स्थान पर क्या आएगा? 55 + 20 × 7 = ___

    • A. 188
    • B. 202
    • C. 195 (Correct)
    • D. 525

    Explanation: Apply BODMAS: 20×7=140; 55+140=195. / BODMAS लगाएँ: 20×7=140; 55+140=195।

  19. Simplification & Approximation — Percentage simplification

    19. Find 47% of 451. / 451 का 47% ज्ञात करें।

    • A. 9.6
    • B. 211.97 (Correct)
    • C. 258.97
    • D. 164.97

    Explanation: 47% of 451 = 47/100×451 = 211.97. / 451 का 47% = 47/100×451 = 211.97।

  20. Simplification & Approximation — Algebraic simplification

    20. Simplify: 8² - 14². / सरलीकृत करें: 8² - 14²।

    • A. 484
    • B. 36
    • C. 260
    • D. -132 (Correct)

    Explanation: a²-b²=(a-b)(a+b)=(8-14)(8+14)=-132. / a²-b²=(a-b)(a+b)=(8-14)(8+14)=-132।

  21. Simplification & Approximation — Percentage / प्रतिशत

    21. 25% of 675 is: / 675 का 25% कितना है?

    • A. 158.75
    • B. 168.75 (Correct)
    • C. 178.75
    • D. 188.75

    Explanation: 25% = 25/100, so answer = 168.75. / प्रतिशत को 100 से भाग देकर मूल संख्या से गुणा करें।

  22. 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।

  23. Simplification & Approximation — Time & Work / समय और कार्य

    23. A finishes a work in 15 days and B in 21 days. Together they finish in: / A 15 दिन और B 21 दिन में काम पूरा करते हैं। साथ में समय?

    • A. 7.800000000000001 days
    • B. 8.8 days (Correct)
    • C. 9.8 days
    • D. 10.8 days

    Explanation: Combined time = ab/(a+b) = 15 x 21 / 36 = 8.8 days. / संयुक्त कार्य में दरें जोड़ी जाती हैं।

  24. 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।

  25. Simplification & Approximation — Simplification / सरलीकरण

    25. Simplify: 19 x 16 + 19 - 16. / सरल करें: 19 x 16 + 19 - 16.

    • A. 299
    • B. 307 (Correct)
    • C. 315
    • D. 323

    Explanation: Apply BODMAS: 304 + 19 - 16 = 307. / पहले गुणा, फिर जोड़-घटाव करें।