# Quantitative Aptitude: Simplification Questions Set 55

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

1. √1849 + √484 – √2704 = ?
15
9
13
17
None
Option C
Solution:
√1849 + √484 -√2704= x
43+22-52=x
x=13.
2. 5 8.9 * 25 7.2 / 125 4.6 = 5?
11
9.5
13.2
15
None
Option B
Solution:
5 8.9 * 25 7.2 / 125 4.6= 5x
(5 8.9 * 5 2*7.2) / 5 3*4.6 =5x
5 8.9+14.4 / 5 13.8 =5x
5 23.3-13.8 = 5x
x=9.5.
3. 572/26 * 12 – 200 = 2?
10
13
12
6
None
Option D
Solution:
572/26 *12 -200 =2x
22*12 -200=2x
264-200=2x
64=2x
x=6.
4. (4*4)3 / (512/8)4 * (32*8)4 = (2+2)?+4
6
8
5
7
None
Option A
Solution:
(4*4) 3 / (512/8 ) 4 *(32*8) 4 = (2+2) x+4
4 2*3 / 44*3 * 44*4= 4x+4
46 /412 * 416 =4x+4
422 /416=4x+4
10=x+4
x=6.
5. [(15.5*30)/15 – 1250/50] = ?*2
3
7
5
9
None
Option A
Solution:
[(15.5*30)/15 -1250/50] =x*2
31-25=2x
6=2x
x=3.
6. 4800 /√? + 3 = 963
28
25
31
33
None
Option B
Solution:
4800 /√x + 3 = 963
4800 /√x = 960
4800/960=√x
√x=5
x=25.
7. 210 – 2882/11 + 423/3 = ?
92
89
78
82
None
Option B
Solution:
210-2882/11 +423/3 =x
210-262 +141=x
x=89.
8. 5321+ 248.8 + 1465.28 – 6326.68 + 1264.6 = ?
1739
1655
1864
1973
None
Option D
Solution:
5321+ 248.8 + 1465.28 – 6326.68 + 1264.6 = x
8299.68-6326.68=x
x=1973.
9. (15*15*15) / (6+6+6+6+6) = ?
124.2
118.8
112.5
122.6
None
Option C
Solution:
(15*15*15)/(6+6+6+6+6)=x
(15*15*15)/30=x
15*7.5=112.5.
10. ? of 420 + 186/3 + 486 /9 = 2216
12
16
5
8
None
Option C
Solution:
x of 420 + 186/3 + 486 /9 =2216
x of 420 + 62 + 54 =2216
x*420=2100
x=5.