# Quantitative Aptitude: Simplification Questions Set 82

1. 4^4 * 9^3 / 2^3 * 3^2 = ?
2592
2345
2564
2568
2266
Option A
4^4 * 9^3 / 2^3 * 3^2 = ?
=> ( 2^2)4 *( 3^2) 3/ 2^3 * 3^2
=>2 ^8 * 3 ^6 / 2^3 * 3^ 2
=>2 ^8-3 * 3^ 6-2
=>32* 81
=2592

2. 120% of 4000 + ? = 125% of 2200
2100
2200
2050
2450
2300
Option C
120% of 4000 + ? = 125% of 2200
=>4800 â€“ 2750
=>2050

3. Â½ of ? + 2/3 of 117 = 20% 0f 400
3
4
6
5
7
Option B
Â½ of ? + 2/3 of 117 = 20% of 400
Â½ of ? + 2*39 =80
1/2of ? +78 =80
So Â½ of ? = 2
?= 4

4. 5 1/5 + 3 1/3 + 4 1/6 -1 4/9 =?
11 23/90
11 21/90
11 25/90
12 23/90
14 23/90
Option A
5 1/5 + 3 1/3 + 4 1/6 -1 4/9 =?
=>(5+3+4-1) +( 1/5 + 1/3 + 1/6 â€“ 4/9)
=>11 + (18+30+15-40)/90
=>11+(23)/90
=>11 23/90

5. Â½ of Â¼ of 1/5 of 1/6 of 1000=?
4.6
4.4
4.2
4.5
4.7
Option C
Â½ * Â¼ * 1/5 * 1/6 *1000
=>1000/240= 4.2

6. 16.67% of 36 + 33.33 % of 123*2 â€“ âˆš121 =?
55
66
77
88
99
Option C
?=1/6 of 36 + 1/3 of 123 *2 â€“ 11 [16.67 % = 1/6, 33.33 % = 1/3]?= 6+41*2-11
?= 6+82-11
?=77

7. 34*36 + âˆš529 * âˆš121 â€“ 93= ?
648
548
878
748
458
Option D
? = (35 â€“ 1) (35 + 1) + 23 *11 â€“ 729 [a2 â€“ b2 = (a + b) (a â€“ b)]? = 352 â€“ 12 + 23 *11 â€“ 729
? =1225 â€“ 1+ 253 â€“ 729
? =748

8. ?/âˆš384 = âˆš864/?
22
23
24
25
26
Option C
? * ? = âˆš384 *âˆš864
? * ? = âˆš (64x6x144x6)
? * ? =8x6x12 =576
? = 24

9. (6 x 136Ã·8 +132) / (628 Ã· 16 â€“ 26.25) =?
17
18
19
20
21
Option B
(6 x (136/8) + 132) / (628/16 â€“ 26.25) =?
(102 + 132) / (39.25 â€“ 26.25) = ?
234 / 13 =?
18 = ?

10. 42.85 % of 140 + 62.5 % of 120 â€“ 16.67 % of 36 =?
123
125
127
129
131
Option D
3/7 of 140 + 5/8 of 120 â€“ 1/6 of 36 =?
[42.85 % = 3/7, 62.5 % = 5/8, 16.67 % = 1/6]? = 60 + 75 â€“ 6 = 129