# Quantitative Aptitude: Simplification Questions Set 79

Directions(1-10): What approximate value will come in place of question mark ‘?’ in the following questions.

1. [(𝟖𝟒) ^𝟐 ÷ 𝟐𝟖 × 𝟏𝟐] ÷ 𝟐𝟒 = 𝟕 ×?
20
22
18
24
10
Option C
[(𝟖𝟒) ^𝟐 ÷ 𝟐𝟖 × 𝟏𝟐] ÷ 𝟐𝟒 = 𝟕 ×?
=>7 ×? = 84×84/28 × 12 × 1/24
=> ? = 18

2. (7.9% of 134) – (3.4% of 79) =?
12
8
10
6
13
Option B
(7.9% of 134) – (3.4% of 79) =?
? = 7.9/100 × 134 − 3.4/100 × 79
= 7.9 == 8

3. [(𝟏𝟗𝟐)^ 𝟐 ÷ 𝟔𝟒 × 𝟐𝟒] ÷ 𝟒𝟖 = √?
84490
87389
81020
89300
82944
Option E
[(𝟏𝟗𝟐)^ 𝟐 ÷ 𝟔𝟒 × 𝟐𝟒] ÷ 𝟒𝟖 = √?
=>√? = 36864/64 × 24 × 1/48 = 288
=> ? = 82944

4. 30% of 𝟐/𝟕 of 𝟐/𝟗 of 𝟐/𝟓 of 𝟐/𝟑 of 9450 =?
46
42
44
40
48
Option E
30% of 𝟐/𝟕 of 𝟐/𝟗 of 𝟐/𝟓 of 𝟐/𝟑 of 9450 =?
=>? = 30/100 × 2/7 × 2/9 × 2/5 × 2/3 × 9450
= 48

5. (𝟏/𝟏𝟎𝟐𝟒)^( −𝟐/𝟓) + ( 𝟏/𝟑𝟒𝟑)^( −𝟐/𝟑) = ? × 5
18
13
10
15
17
Option B
(𝟏/𝟏𝟎𝟐𝟒)^( −𝟐/𝟓) + ( 𝟏/𝟑𝟒𝟑)^( −𝟐/𝟑) = ? × 5
=>?× 5 = (4)^{( −5)×( −2/5)} + (7) ^{(−3)×( −2/ 3)}
=> ? = (16+49)/5 = 13

6. 3.5% of 40 + 3.5% of 80 =? % of 10
40
45
48
42
46
Option D
3.5% of 40 + 3.5% of 80 =? % of 10
=>? = (1.4 + 2.8)/10 × 100 = 42

7. 𝟏( 𝟕/𝟗) + 𝟐(𝟓/𝟑) + 𝟑(𝟏/𝟗) – 𝟒(𝟏/𝟓) = ?
1(15/41)
3(11/46)
4(16/45)
3(10/45)
4(16/41)
Option C
𝟏( 𝟕/𝟗) + 𝟐(𝟓/𝟑) + 𝟑(𝟏/𝟗) – 𝟒(𝟏/𝟓) = ?
? = (1 + 2 + 3 − 4) + ( 7/9 + 5/3 + 1/9 – 1/5 )
= 2 + 106/45 = 4(16/45)

8. (𝟐 × 𝟑)^𝟑 ÷ (𝟒 × 𝟗)^𝟐 × (𝟐𝟕 × 𝟖)^𝟐 = (𝟔)^?
3
5
2
6
7
Option B
(𝟐 × 𝟑)^𝟑 ÷ (𝟒 × 𝟗)^𝟐 × (𝟐𝟕 × 𝟖)^𝟐 = (𝟔)^?
=>(6)^? = (6) ^3 ÷ 6^4 × 6^6
⇒ (6)^? = 6^(3−4+6)
⇒ ? = 5

9. 𝟒𝟓𝟒. 𝟓𝟖 − 𝟑𝟕𝟔. 𝟖𝟗 + 𝟏𝟐𝟏. 𝟒𝟓 − 𝟗𝟓. 𝟒𝟐 = ?
104
110
100
107
117
Option A
𝟒𝟓𝟒. 𝟓𝟖 − 𝟑𝟕𝟔. 𝟖𝟗 + 𝟏𝟐𝟏. 𝟒𝟓 − 𝟗𝟓. 𝟒𝟐 = ?
? = 576.03 – 472.31 = 103.72
== 104

10. √𝟓𝟕𝟔 ÷ (𝟒)^𝟐 × 𝟕. 𝟒 + (𝟕)^𝟑 − 𝟐𝟑𝟏 = ?
110
111
120
127
123
Option E
√𝟓𝟕𝟔 ÷ (𝟒)^𝟐 × 𝟕. 𝟒 + (𝟕)^𝟑 − 𝟐𝟑𝟏 = ?
= ? = 24 ÷ 16 × 7.4 + 343 − 231
= 11.1 + 112 = 123.1 == 123