Simplification Set – 12

1. 24 × 35 + 34% of 250 – 35% of 240  = x2
A) 31
B) 39
C) 46
D) 29
E) 21

Answer & Explanation

 Option D

 

2. √2304 ÷ 3 × 18 + 173160 ÷ 8 ÷ 5 ÷ 9 ÷ 13 = x
A) 303
B) 325
C) 362
D) 263
E) 298

Answer & Explanation

  Option B

 

3. 472 – 53 × 34 + 54% of 650 = x
A) 758
B) 745
C) 633
D) 822
E) 840

Answer & Explanation

 Option A

 

4. 63 × 1118 ÷ 26 – 76% of 750 – 18 × 46 = x
A) 1160
B) 1337
C) 1638
D) 1311
E) 1243

Answer & Explanation

 Option D

 

5. √(5)x = 46% of 1550 – 2288 ÷ 26
A) 16
B) 4
C) 5
D) 9
E) None of these

Answer & Explanation

 Option B
Solution:
46% of 1550 – 2288 ÷ 26 = 625 = (5)
√(5)x = ((5)x)1/2 = (5)x/2
So x/2 = 4, x = 8

 

6. 6x-1 = 24 × 108 × 648
A) 2
B) 4
C) 9
D) 8
E) 6

Answer & Explanation

  Option C
Solution:

24 = 23 * 31
108 = 22 * 33
648 = 23 * 34
So 24 × 108 × 648 = 23+2+3 * 31+3+4 = 28 * 38 = 68
6x-1 = 68
x – 1 = 8
Solve, x = 9

 

7. 4 1/2 + 2 2/3 + 3 5/6 + 4 2/5 = x
A) 15 2/5
B) 17 2/6
C) 12 2/10
D) 16 2/5
E) 16 2/12

Answer & Explanation

  Option B
Solution:

4 1/2 + 2 2/3 + 3 5/6 + 4 2/5
= 4+2+3+4 + (1/2 + 2/3 + 5/6 + 2/5) = 13 + 12/5 = 13 + 2 2/5 = 15 2/5

 

8. 125x+2 = 162 × 1442x+1 × 81
A) 7
B) 6
C) 5
D) 2
E) 4

Answer & Explanation

 Option E
Solution:

125x+2 = 162 × 1442x+1 × 81
12 can be break down as 4*3
162 = (42)2 = 44
1442x+1 = 124x+2
81 = 34
so 44 * 34 = 124
Now 124x+2 * 124 = 124x+2+4 = 124x+6
Now 125x+2 = 124x+6
So 5x+2 = 4x+6
Solve, x = 4

 

9. 3 1/4 + 2 1/5 – 2 3/10 – 1 1/6 = x
A) 3 11/60
B) 2 41/60
C) 1 29/60
D) 2 23/60
E) 1 59/60

Answer & Explanation

 Option E
Solution:
3 1/4 + 2 1/5 – 2 3/10 – 1 1/6
= 3+2-2-1 + (1/4 + 1/5 – 3/10 – 1/6)
= 2 + (-1/60) = 2 – 1/60 = 1 59/60

 

10. 35% of 180 + 45% of 240 – 65% of 160
A) 67
B) 75
C) 73
D) 62
E) 66

Answer & Explanation

  Option A

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