# 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