 # Quantitative Aptitude: Simplification Questions Set 58

Directions: What value will come in place of question mark (?) in the following questions?

1. ?/√64 = √36 / (11*3-15)
4
8/3
4/3
2
None
Option B
Solution:
x/√64 = √36/(11*3-15)
x/8 = 6/18
x=8/3.
2. 1.52 + 2.12 + 3.22 = ?
14.5
12.6
16.9
18.7
None
Option C
Solution:
1.52 +2.12+3.22=x
2.25+4.41+10.24=x
x=16.9.
3. 7.5% of 360 +2.5% of 600=?
35
42
38
46
None
Option B
Solution:
7.5% of 360 +2.5% of 600=x
27+15=x
x=42.
4. 32% of 6375 – 19% of 5700 = 312 – ?
45
126
4
88
None
Option C
Solution:
32% of 6375 -19% of 5700= 312 -x
2040-1083=312 -x
957=961-x
x=4.
5. 1210.5 * 43.5 * 33.5 = 12?
12
8
18
14
None
Option D
Solution:
1210.5 *43.5*33.5=12x
1210.5 *123.5x
10.5+3.5=x
x=14.
6. 132 – 52 – √676 + 7 = ?2
3√5
15
5
5√5
None
Option D
Solution:
132 -52 -√676 +7=x2
169-25-26+7=x2
x2=125
x=5√5.
7. 5/6 *(2/15) /(13/3)*819 = ?
21
26
29
35
None
Option A
Solution:
5/6 *(2/15) /(13/3)*819=x
5/6*2/15*3/13*819=x
x=21.
8. 260% of 45 + 120% of 55 = 220 – ?
42
33
45
37
None
Option D
Solution:
260% of 45 + 120% of 55=220-x
117+66=220-x
x=220-183
x=37.
9. (√8 – 1)2 = ? – 2√8
7
9
12
5
None
Option B
Solution:
(√8 – 1) 2 =x – 2√8
8+1-2√8+2√8=x
x=9.
10. [(9*3)/(27*81)] * [(274/92] = 3?
4
6
5
8
None
Option A
Solution:
[(9*3) / (27*81)] *[(274/92]= 3x
[33/ (33*34)] * [312/34]= 3x
[33/ 3712/34]= 3x
[3(12+3)]/3(7+4)=3x
315-11=3x
x=4.

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