Aptitude Questions – Simplification Set 33

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

   Answer & Explanation

   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 & Explanation

   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 & Explanation

   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 & Explanation

   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 & Explanation

   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 & Explanation

   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 & Explanation

   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 & Explanation

   Answer – B.1115
   Explanation :
   391+837-113 =1115
   
   
   
9. 17 × 756 ÷ √2916 = ? +540
   A.312
   B.-223
   C.-302
   D.-217
   E.-421
   

   Answer & Explanation

   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 & Explanation

    Answer – A.26
    Explanation :
    = √(337/21 )÷ √(1365/84) × 26
    = 16÷16 ×26 = 26