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