Quantitative Aptitude: Simplification Questions Set 67

Directions(1-10): What will come approximately in place of question mark ‘?’ in the following questions.

  1. 4(3/5) + 7(1/3) – 3(11/15) + ? = 9(9/10) + 8(1/2) – 5(4/5)
    6(3/4)
    6(1/5)
    3(3/5)
    4(2/5)
    7(3/9)
    Option D
    4(3/5) + 7(1/3) – 3(11/15) + ? = 9(9/10) + 8(1/2) – 5(4/5)
    => ? = 99/10 + 17/2 – 29/5 – 23/5 – 22/3 + 56/15
    => ? = (297+255-174-138-220+112)/30
    => ? = 132/30
    => ? = 22/5
    => ? = 4(2/5)

     

  2. (12.166)^5.99 / (5.3)^3.11 * (2.3)^2.91= (2.3)^(?-3.01)
    18
    11
    10
    13
    16
    Option A
    (12.166)^5.99 / (5.3)^3.11 * (2.3)^2.91 = (2.3)^(?-3.01)
    => (12.16)^6/(5.3)^3*(2.3)^3 = (2.3)^(?-3)
    =>(2.3)^18/(2.3)^6 = (2.3)^(?-3)
    =>(2.3)^15 = (2.3)^(?-3)
    => ? = 18

     

  3. 28% of 6525 + 35% of 6780 + 20% of ? = 52% of 5475 + 25% of 7248
    2661
    2295
    2335
    2112
    2200
    Option B
    28% of 6525 + 35% of 6780 + 20% of ? = 52% of 5475 + 25% of 7248
    => 1827 + 2373 + 0.20*? = 2847 + 1812
    => 4200 + 0.20*? = 4659
    => ? = 2295

     

  4. 56*81+84*29+?*21 = 63*79 + 49*57
    25
    40
    38
    46
    50
    Option C
    56*81+84*29+?*21 = 63*79 + 49*57
    => 4536 + 2436 + ? * 21 = 4977 + 2793
    => 6972 + ?*21 = 7770
    => ? = 38

     

  5. (1849)^1/2 + 1155.905 / 16.927 = ?^2 + 64.89% of 95.49
    8
    6
    5
    4
    7
    Option E
    (1849)^1/2 + 1155.905 / 16.927 = ?^2 + 64.89% of 95.49
    => (1849)^1/2 + 1156 / 17 = ?^2 + 65% of 95
    => 43 + 68 = ?^2 + 62
    => ?^2 = 49
    => ? = 7

     

  6. 29.98% of 1500.03 – ? = 215.03
    235
    325
    295
    362
    320
    Option A
    29.98% of 1500.03 – ? = 215.03
    => 30% of 1500 – ? = 215
    => 450 – ? = 215
    => ? = 235

     

  7. ? + 51.02 = 17^3 – 43.99% of 399.97
    4950
    4444
    4850
    4686
    4115
    Option D
    ? + 51.02 = 17^3 – 43.99% of 399.97
    => ? + 51 = 17^3 – 44% of 400
    => ? + 51 = 4913 – 176
    => ? = 4686

     

  8. ? – 9.12^2 = 619.98 + 31% of 1299.98
    1200
    1104
    1119
    1225
    1500
    Option B
    ? – 9.12^2 = 619.98 + 31% of 1299.98
    => ? – 9^2 = 620 + 31% of 1300
    => ? – 81 = 620 + 403
    => ? = 1104

     

  9. (12^3 – 18^2 + 108) = ? + 1064 – 21^2
    720
    695
    772
    800
    889
    Option E
    (12^3 – 18^2 + 108) = ? + 1064 – 21^2
    => (1728 – 324 + 108) = ? + 1064 – 441
    => 1472 = ? + 623
    => ? = 889

     

  10. ? + (15.99^2 – 164.99) = (194.98 – 12.11^2)
    – 35
    – 40
    – 20
    – 33
    – 26
    Option B
    ? + (15.99^2 – 164.99) = (194.98 – 12.11^2)
    => ? + (16^2 – 165) = (195 – 144)
    => ? + (256 – 165) = (195 – 144)
    => ? = – 40

     


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