Quantitative Aptitude: Number Series Set 90

Directions(1-10): What will be the approximate value of “?” in the following questions.

1. (500.01% of 24.89) / 24.98 = (?)^1/2 – (63.99)^1/2
   144
   169
   181
   175
   190
   Option B
   (500.01% of 24.89) / 24.98 = (?)^1/2 – (63.99)^1/2
   => (?)^1/2 – (64)^1/2 = (500% * 25) / 25
   => (?)^1/2 – 8 = 125 / 25
   =>(?)^1/2 = 8 + 5
   => ? = 169

    

2. (990 / 18 * 55 + 45^2 – 240% of 62.5) = ?^2
   80
   60
   90
   50
   70
   Option E
   (990 / 18 * 55 + 45^2 – 240% of 62.5) = ?^2
   =>?^2 = 55 * 55 + 2025 – 62.5% * 240
   => ?^2 = 3025 + 2025 – (5/8) * 240
   => ?^2 = 5050 – 150
   => ? = 70

    

3. ?% of 599.99 = 40.01% of 499.99 + 199.98% of 49.99
   36
   45
   30
   50
   44
   Option D
   ?% of 599.99 = 40.01% of 499.99 + 199.98% of 49.99
   => ?% of 600 = 40% * 500 + 200% * 50
   => ? * 6 = 200 + 100
   => ? * 6 = 300
   => ? = 50

    

4. 40% of 840 – 18^2 = (?)^1/2 – (216)^1/3
   313
   350
   333
   300
   324
   Option E
   40% of 840 – 18^2 = (?)^1/2 – (216)^1/3
   =>(?)^1/2 – 6 = 0.4 * 840 – 324
   => (?)^1/2 = 336 – 324 + 6
   => (?)^1/2 = 18
   => ? = 324

    

5. [(196)^1/2 + 432 / 12]% of 720 = ?% of 900
   50
   40
   20
   10
   30
   Option B
   [(196)^1/2 + 432 / 12]% of 720 = ?% of 900
   => ?% * 900 = (14 + 36)% * 720
   => ? * 9 = 50% * 720
   => ? = 40

    

6. (750 / 15)* 15 + 15^2 + 20% of 125 = ?^3
   13
   10
   15
   18
   16
   Option B
   (750 / 15)* 15 + 15^2 + 20% of 125 = ?^3
   => ?^3 = 750 + 225 + 25
   => ?^3 = 1000
   => ? = 10

    

7. [(256)^1/2 + (1024)^1/2] / 4 = ?% of 150
   5
   7
   8
   6
   9
   Option C
   [(256)^1/2 + (1024)^1/2] / 4 = ?% of 150
   => ? * 1.5 = (16 + 32) / 4
   => ? * 1.5 = 48 / 4
   => ? = 8

    

8. 44.98% of 399.98 = ? * 19.98 – (39.98% of 2499.98)
   50
   48
   59
   32
   40
   Option C
   44.98% of 399.98 = ? * 19.98 – (39.98% of 2499.98)
   => ? * 20 – (40% * 2500) = 45% * 400
   => ? * 20 – (40 * 25) = 45 * 4
   => ? * 20 – 1000 = 180
   => ? = 59

    

9. 35% of 840 + 16^2 = ?^2 – 25% * 300
   20
   15
   18
   25
   12
   Option D
   35% of 840 + 16^2 = ?^2 – 25% * 300
   => ?^2 – 75 = 0.35 * 840 +256
   => ?^2 = 294 + 256 + 75
   => ? = 25

    

10. [(529)^1/2 + (6^3 / 18)]% of 800 = ?% of 224
    125
    120
    117
    111
    100
    Option A
    [(529)^1/2 + (6^3 / 18)]% of 800 = ?% of 224
    => ?% * 224 = {23 + (216 / 18)}% * 800
    => ? * 224 = 35 * 800
    => ? = (35 * 800)/ 224
    => ? = 125