# Simplification Set – 1

1. 22% of 350 + 35% of 420 = 16% of 250 + x
A) 184
B) 144
C) 136
D) 196
E) 148

Option A

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

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

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

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

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 = 1/2

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

Option C

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

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. 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

Option E

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

Option C

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

Option D

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