Quantitative Aptitude: Simplification Questions Set 74

Directions(1-10): What will come in place of question mark '?' in the following questions.

1. 1170/26 + (785 – 423 + ?) = 440
   38
   22
   30
   26
   33
   Option E
   1170/26 + (785 – 423 + ?) = 440
   =>45 + 362 + ? = 440
   =>? = 33
   
   
    



2. 5(7/9) × 8(4/5) × 9(2/3) = ?
   445
   490
   400
   425
   414
   Option B
   5(7/9) × 8(4/5) × 9(2/3) = ?
   =>52/9 × 44/5 × 29/3 = 490
   
   
    



3. 60% of 480 + 48% of 600 = ?
   550
   555
   525
   576
   500
   Option D
   60% of 480 + 48% of 600 = ?
   =>288 + 288 = 576
   
   
    



4. 1(6/ 7) × 1(5/6) × 1(4/5) ÷ 6(9/70) = 1/5 ×?
   7
   9
   4
   5
   6
   Option D
   1(6/ 7) × 1(5/6) × 1(4/5) ÷ 6(9/70) = 1/5 ×?
   13/7 × 11/6 × 9/5 × 70/429 = 1/5 ×?
   => ? = 5
   
   
    



5. {6/ (14641)^1/2} × (72.25)^1/2 = ? / 6
   4000
   4220
   4040
   4131
   4114
   Option D
   {6 (14641)^1/2} × (72.25)^1/2 = ?  6
   => ? /6 = {99^2 /[(121)^2]^1/2 × [(8.5)^2]^1/2
   => ?/ 6 = (99 × 99 × 8.5)/121
   => ?= 4131
   
   
    



6. [ 10648 { (2197)^1/3 + (6561)^1/4}^3]^1/3 = ?
   484
   440
   425
   444
   400
   Option A
   [ 10648 { (2197)^1/3 + (6561)^1/4}^3]^1/3 = ?
   = [(22)^3 × {13 + 9}^3]^ 1/3 = 22 × 22 = 484
   
   
    



7. ( (2.197)^1/3 + (10.648)^1/3 ) ÷ (0.0784)^1/2 = ? % of 40
   30.01
   28.15
   31.25
   20.20
   33.44
   Option C
   ( (2.197)^1/3 + (10.648)^1/3 ) ÷ (0.0784)^1/2 = ? % of 40
   1.3+ 2.2 ÷ 0.28 = ?/ 100 × 40
   ?= (12.5 × 100)/40 = 31.25
   
   
    



8. 36% of 32 1 7 % of 4585 ÷ 0.15 = ? × 27
   120
   118
   110
   131
   125
   Option D
   36% of 32 1 7 % of 4585 ÷ 0.15 = ? × 27
   =>27 ×?= 36/100 × [(225/700 × 4585) × 100/15
   => ?= [36 × 225 × 4585 × 100]/[27 × 100 × 700 × 15] = 131
   
   
    



9. 15.5% of 850 + 24.8% of 650 = ?
   295
   250
   281
   220
   200
   Option A
   15.5% of 850 + 24.8% of 650 = ?
   =>131.75 + 161.2 = 295
   
   
    



10. 5940 ÷28 ÷ 6 = ?
    30
    22
    25
    35
    26
    Option D
    5940 ÷28 ÷ 6 = ?
    =>5940/(28×6) = 35