Quants Questions : Simplification Set 12

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1. (23.1)² + (48.6)² – (39.8)² = 1011+ ?
   A)301
   B)254
   C)367
   D)423
   E)None of these
   
   Answer

   Answer – A)301
   Explanation :
   533.61+2361.96 – 1584.04 = 1311.53
   1311.53 – 1011 = 300.53 = 301
   
   
   
2. √11449×√6241 – 54² = ? + 74²
   A)48
   B)61
   C)56
   D)72
   E)None of these
   
   Answer

   Answer – B)61
   Explanation :
   107*79 – 2916 = ? +5476
   5537 = ?+ 5476
   ? = 61
   
   
   
3. 38.89% of 4532 + 45.3% of  1001 + 88 = ?²
   A)48
   B)35
   C)27
   D)54
   E)None of these
   
   Answer

   Answer – A)48
   Explanation :1762.5 + 453.5 = 2216
   
   
   
4. (4×4)³ ÷ (512÷8) × (2×8)² = 2 ^?
   A)8
   B)17
   C)22
   D)14
   E)None of these
   
   Answer

   Answer – D)14
   Explanation :
   = 4096÷64×256
   = 64×256 = 2⁶ ×2⁸
   = 2¹⁴
   
   
   
5. (601/49) × (399/81) ÷ (29/201) = ?
   A)419
   B)470
   C)350
   D)580
   E)None of these
   
   Answer

   Answer – A)419
   Explanation :601*399*201/49*81*29 = 418.8 = 419
   
   
   
6. (2/3) of 1(2/5) of 75% of 1240 = ?
   A)965
   B)723
   C)868
   D)1039
   E)None of these
   
   Answer

   Answer – C)868
   Explanation :
   75*1240/100 = 930
   7/5(930) = 1302
   2/3(1302) = 868
   
   
   
7. 6(7/11) × 5(4/9) ÷ 9(1/4) = ?
   A)21
   B)13
   C)9
   D)4
   E)None of these
   
   Answer

   Answer – D)4
   Explanation :73/11 ×49/9 × 4/37 = 3.9 = 4
   
   
   
8. 4433.764 – 2211.86 – 5567.67 + 8466.50 = ?
   A)4987.654
   B)5120.734
   C)5678.874
   D)4226.759
   E)None of these
   
   Answer

   Answer – B)5120.734
   Explanation :12900.264 – 7779.53 = 5120.734
   
   
   
9. (√9)² × (√81)⁵ ÷ (27)² = 9^?
   A)3
   B)5
   C)6
   D)8
   E)None of these
   
   Answer

   Answer – A)3
   Explanation :9*9⁵/9³ = 9^6-3 = 9³
   
   
   
10. 1599÷39 × 289 – 345 + 423 = ?
    A)15667
    B)11927
    C)12579
    D)10674
    E)None of these
    
    Answer

    Answer – B)11927
    Explanation :
    41*289 = 11849
    11849+423-345 = 11927
    
    
    

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