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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