Quantitative Aptitude: Simplification 

1.      22% of 350 + 35% of 420 = 16% of 250 + x

     A) 184
B) 144
C) 136
D) 196
E) 148

2.     1 1/4 + 2 4/5 + 3 5/8 + 2 3/10 = x
A) 10 19/40
B) 9 17/30
C) 9 19/25
D) 8 29/35
E) 9 39/40

3.      1008 ÷ 16 × 3/7 + 19 × 204 = 13 × 15 + x
A) 5327
B) 3099
C) 3476
D) 5376
E) 3708

4.      (0.6)^5/4 ÷ (0.36)^3/8 × (0.3)^13/12 ÷ (0.09)^7/24 = (0.18)^1-x
A) – 1/2
B) 1/2
C) – 4/3
D) 1/4
E) 5/6

5.     1 1/2 + 2 2/3 + 3 1/6 + 4 3/8 = x
A) 11 8/15
B) 10 5/21
C) 11 17/24
D) 12 3/10
E) 10 13/21

6.      (0.4)^17/16 ÷ (0.16)^3/32 × (0.3)^5/4 ÷ (0.09)^3/16 = (0.12)^x
A) 7/8
B) 1/5
C) 7/5
D) 9/13
E) 6/11     

7.      3 9/14 × 1 4/17 × 2 16/18 – 2 3/4 = x
A) 11 1/3
B) 8 2/4
C) 10 1/6
D) 9 1/5
E) 10 1/4

8.     6/7 × 392 + 25% of 260 = 16% of 550 + x
A) 387
B) 345
C) 313
D) 307
E) 328

9.      30% of 470 + 24% of 250 – 45% of 260 = √x
A) 6946
B) 7126
C) 6576
D) 7056
E) 7686

10.  18% of 550 – 45% of 200 = (x)^1/3
A) 679
B) 729
C) 627
D) 734
E) 719



SOLUTION 

1.      Option A

2.       Option D
Solution:
1 1/4 + 2 4/5 + 3 5/8 + 2 3/10 
[1 1/4 + 3 5/8] + [2 4/5 + 2 3/10] 
[1 + 3 + 1/4 + 5/8] + [2 + 2 + 4/5 + 3/10]
[4 + 11/10] + [4 + 7/8]
[4+ 4 + 11/10 + 7/8] 
[8 + 79/40] = 9 39/40

3.       Option E
 Solution:
1008 ÷ 16 × 3/7 + 19 × 204 – 13 × 15 
1008/16 × 3/7 + 3876 – 185
27 + 3876 – 185

4.       Option B
 Solution: 
(0.6)^5/4 ÷ (0.36)^3/8 = (0.6)^5/4 ÷ (0.6)^{2 * 3/8} = (0.6)^5/4 ÷ (0.6)^3/4 = (0.6)^{5/4 – 3/4} = (0.6)^1/2
Similarly, (0.3)^13/12 ÷ (0.09)^7/24 = (0.3)^1/2 
So (0.6)^1/2 × (0.3)^1/2 = (0.18)^1/2
So (0.18)^1/2 = (0.18)^1-x gives 1/2 = 1 – x, So x = ½

5.       Option C

6.       Option A
 Solution:
(0.4)^17/16 ÷ (0.16)^3/32 × (0.3)^5/4 ÷ (0.09)^-3/16
= (0.4)^7/8 × (0.3)^7/8

7.       Option E

8.       Option C

9.       Option D

10.  Option B