# 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