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Aptitude Questions – Simplification Set 33

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Hello Aspirants.

Welcome to Online Quantitative Aptitude Section with explanation in AffairsCloud.com. Here we are creating question sample in Simplification. We have included Some questions based on latest pattern !!!

  1. √3840.56 × [(501.01)2 / 250] × 0.987 = ? *1000
    A.56
    B.76
    C.43
    D.51
    E.62
    Answer – E.62
    Explanation :
    62*1000*1 = 62000
    ? = 62

  2. 1/[2 + (1/(4+(1/(5 – 1/3))))] = ?
    A.131/57
    B.47/121
    C.117/39
    D.59/132
    E.110/59
    Answer – D.59/132
    Explanation :
    1/[2 + (1/(4+(1/(5 – 1/3))))] = 1/[2+(1/(4+(3/14)))]
    = 1/[2+(14/59)]
    =1/[118+14/59]
    =1/(132/59)
    =59/132

  3. 11111.10 ÷ 989.88×88.88÷0.798 = ?
    A.1010
    B.1000
    C.1100
    D.1001
    E.1011
    Answer – C.1100
    Explanation :
    10000 ÷ 1000 = 10
    88÷0.8 = 110
    10*110 = 1100

  4. 3√ 0.000001728 = ?
    A.0.012
    B.0.12
    C.0.014
    D.0.0012
    E.0.016
    Answer – A.0.012
    Explanation :
    0.012*0.012*0.012 = 0.000001728

  5. 1(2/3) + 2(4/9)  – 3(7/15) =  ?
    A.0.64
    B.0.55
    C.0.72
    D.0.58
    E.0.46
    Answer – A.0.64
    Explanation :
    5/3 +22/9 – 52/15 = 75 +110-156/45 = 29/45

  6. √ 3/7 × 1124 – ? = 21
    A.15
    B.3
    C.9
    D.7
    E.11
    Answer – C.9
    Explanation :
    0.4 *1124 = 449.6 = 450
    450-9 = 441
    441 = 21*21

  7. If a – b = 7 and a2 + b2 = 53, find the value of ab.
    A.5
    B.3
    C.0.5
    D.1
    E.2
    Answer – E.2
    Explanation :
    2ab = (a2 + b2) – (a – b)2
    2ab = 53-49 =4
    ab =4/2 = 2

  8. 45% of 870 + 67% of 1250 – 21% of 540 = ?
    A.1087
    B.1115
    C.1439
    D.1560
    E.1239
    Answer – B.1115
    Explanation :
    391+837-113 =1115

  9. 17 × 756 ÷ √2916 = ? +540
    A.312
    B.-223
    C.-302
    D.-217
    E.-421
    Answer – C.-302
    Explanation :
    17*756÷54 = ? +540
    17*14 = ? +540
    238 = ? + 540
    ? =238-540 = -302

  10. √[16+(1/21)] ÷ √[16+(21/84)] × 702/27 = ?
    A.26
    B.32
    C.43
    D.17
    E.31
    Answer – A.26
    Explanation :
    = √(337/21 )÷ √(1365/84) × 26
    = 16÷16 ×26 = 26