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