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