# Quantitative Aptitude: Simplification Questions Set 81

1. 1/2 + 3 – 4 * 5 + [6 – 7 * 8/4]

-22.5
-21.6
-23.6
-34.7
-24.5
Option E
= 1/2 + 3 – 4 * 5 + [6 – 7 * 2]

= 1/2 + 3 – 4 * 5 + [6 – 14]

= 1/2 + 3 – 4 * 5 – 8

= 0.5 + 3 – 4 * 5 – 8

= 0.5 + 3 – 20 – 8

= 3.5 – 20 – 8

= -24.5

2. √727.5601* 4.99 -370 + [15.8 * √624.61]

156
165
174
189
145
Option B
= 27 * 5 – 370 + [16 * 25]

= 27 * 5 – 370 + 400

= 135 – 370 + 400

= 535 – 370

= 165

3. [(6*7 – 3+2 * 8) + 9/3] * 5 – 1 + 7

234
296
288
124
156
Option B
= [(6*7 – 3+2 * 8) + 9/3] * 5 – 1 + 7

= [(42 – 3 + 16) + 3] * 5 – 1 + 7

= [55 + 3] * 5 – 1 + 7

= 58 * 5 – 1 + 7

= 290 – 1 + 7

= 296

4. [(10.09)^2 * (√289.06)] – [14 – 6 * 7 + (√169.009) + (11.02)^2]

1594
1678
1254
1890
1567
Option A
= [100 * 17] – [14 – 42 + (13 + 121)]

= 1700 – [14 – 42 + 134]

= 1700 – 106

= 1594

5. [√{3√(8.09) + 6.66} – 3.59 * ( 6.79 + √( 225.1) * 5.556 ) + 13]

-560
-345
-372
-457
-569
Option C
= [√8.96 – 3.89 * (7 + 15 * 6) + 13]

= [3 – 4 * 97 + 13]

= [3 – 388 + 13]

= -372

6. 21.8% of 167.99 – 19% of 320 + 24% of 460 – 13% of 110

45.78
34.89
72.26
67.90
78.90
Option C
= [20%+2%] of 168 – [ 20%-1%] of 320+ [ 20% + 2% + 2%] of 460 – [ 11% + 1% +1%] of 110

= [33.6 + 3.36] – [64 – 3.2] + [92 + 9.2 + 9.2] – [12.1 + 1.1 + 1.1]

= 36.96 – 60.8 + 110.4 – 14.30

= 147.36 – 75.1

= 72.26

7. 127.81x + √1680.99 = 12.0993 + 169.099

13.5
15.5
14.5
12.5
15.6
Option C
128x + 41 = 123 + 169

128x = 1728 + 169- 41

128x = 1856

x=14.5

8. x^3 – 149.796 * 1.5 = (4.91)^2 * 9.099 + 176.82% of (10)^3

12
13
14
15
16
Option B
x3– 150 * 1.5 = 25 * 8 + 177.2% of 1000

x3– 225 = 200 + 1772

x3 = 1972 + 225= 2197

x= 13

9. x% of 159.9 = √[(√676.089) + 110% of 111 + 21.09% of 100.0998]

8.125%
7.89%
9.56%
6.45%
7.45%
Option A
x% of 160 = √[ 26 + 110% of 111 + 20% of 100 ]

x% of 160 = √[ 26 + 122 + 21]

x% of 160 = √169

x=(13/160)*100 = 8.125%

10. 2^x = [(31.901 * 4.952)/3.91] * [10.24 % of √2499]

14
10
12
15
17
Option B
2x = [32 * 25/4] * [10.24% of 50]

= 200 * 10.24 * 50/100

= 1024

x = 10