# Quantitative Aptitude: Simplification Questions Set 53

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

1. (6/4*32/8*6/16) + (6/16*24/8*36/4) = ?
93/8
99/8
45/4
49/4
None
Option B
Solution:
(6/4*32/8*6/16) + (6/16*24/8*36/4)=x
9/4+81/8=x
(18+81)/8=x
x=99/8.
2. (√23+26*0.5) / √81/? = 2
3
12
7
6
None
Option A
Solution:
(√23+26*0.5) / (√81/x) =2
√(23+13) *x /√81=2
6x/9=2
x=3
3. 145.43 + 167.55 – 222.05+441.35 = ?
520.05
482.54
496.22
532.28
None
Option D
Solution:
145.43 + 167.55 – 222.05+441.35=x
x=532.28.
4. (8*6*4*2)/(3*5) = ?
36
28.5
32.4
25.6
None
Option D
Solution:
(8*6*4*2)/(3*5)=x
128/5=x
x=25.6.
5. 4/7 of 3/8 of 14/18 of ? = 243
1458
1345
1476
1259
None
Option A
Solution:
4/7 of 3/8 of 14/18 of x=243
x/6=243
x=243*6
=1458.
6. 435/29 *10+125 = ?+75
170
193
200
185
None
Option C
Solution:
435/29 *10+125 =x+75
150+125-75=x
x=200.
7. (4 2/3 + 3 4/9+ 6 5/9) /? = 12
11/9
8/3
14/9
5/3
None
Option A
Solution:
(4 2/3 + 3 4/9+ 6 5/9) /x= 12
14/3+31/9+59/9=12x
132/9=12x
x=11/9.
8. 1/9 of 378 of 1/7 = ?/21
155
126
143
186
None
Option B
Solution:
1/9 of 378 of 1/7=x/21
6=x/21
x=21*6
=126.
9. 2/7 of 5033 +80% of 600 = ?+495
1320
1288
1415
1423
None
Option D
Solution:
2/7 of 5033 +80% of 600 = x+495
1438+480=x+495
1918=x+495
x=1423.
10. 60% of (532-162) = ? + 37
185
166
174
192
None
Option A
Solution:
60% of (532-162) = x+37
60% of 370=x+37
222-37=x
x=185.