Quantitative Aptitude: Simplification Questions Set 73

Directions(1-10): Find the approximate value of the following questions.

1. (21.6) ² ÷ (– 7.2) ² × ? = 15483.36 – 15276.09
   20
   16
   18
   23
   26
   Option D
   (21.6) ² ÷ (– 7.2) ² × ? = 15483.36 – 15276.09
   =>9 × ? = 207.27
   ⇒ ? = 23.03 == 23
   
   
    



2. 348 ÷ 29 × 15 + 156 = (?)³ + 120
   7
   5
   6
   4
   8
   Option C
   348 ÷ 29 × 15 + 156 = (?)³ + 120
   =>(?)³ = 180 + 156 – 120 = 216
   ⇒ ? = 6
   
   
    



3. 25 × 3.25 + 50.4 ÷ 24 = ?
   80
   76
   70
   78
   83
   Option E
   25 × 3.25 + 50.4 ÷ 24 = ?
   =>? = 81.25+2.1 = 83.35 == 83
   
   
    



4. 350% of ? ÷50+248=591
   2990
   3300
   2890
   4900
   3550
   Option D
   350% of ? ÷50+248=591
   =>350 × ?/100 × 1/50 = 343
   => ? = 4900
   
   
    



5. 1/2 of 3842 + 15% of ? = 2449
   3225
   3000
   3520
   3110
   3340
   Option C
   1/2 of 3842 + 15% of ? = 2449
   =>1/2 × 3842 + 15/100 × ? = 2449
   =>? = (528 × 100)/15
   =>? = 3520
   
   
    



6. 3.2% of 500 × 2.4% of ? = 288
   818
   900
   750
   660
   840
   Option C
   16×2.4/100 𝑥 = 288 =>? = 750
   
   
    



7. (𝟐√𝟑𝟗𝟐 – 𝟐𝟏) + (√𝟖– 𝟕)^𝟐 = (? )^2
   ±4
   ±1
   ±6
   ±2
   ±7
   Option C
   (𝟐√𝟑𝟗𝟐 – 𝟐𝟏) + (√𝟖– 𝟕)^𝟐 = (? )^2
   (?)² = 2 × 7√8 – 21 + 8 + 49 – 14√8
   = 57 – 21 = 36
   => ? = ±6
   
   
    



8. (? )^ 𝟒 ÷ 𝟐𝟕 = 𝟐𝟒3
   9
   6
   7
   5
   8
   Option A
   (? )^ 𝟒 ÷ 𝟐𝟕 = 𝟐𝟒3
   (?)⁴ = 243 × 27
   =>(?)⁴ = (9) ⁴
   ⇒ ? = 9
   
   
    



9. 46% of 450 +? % of 19.07 = 359.56
   890
   800
   778
   678
   980
   Option B
   46% of 450 +? % of 19.07 = 359.56
   =>? /100 × 19.07 = 359.56 – 207
   => ? = {152.56 × 100}/19.07
   =>? = 800
   
   
    



10. 0.03 × 0.01 – 0.003 ÷ 100 + 0.03 =?
    0.06
    0.05
    0.03
    0.04
    0.07
    Option C
    0.03 × 0.01 – 0.003 ÷ 100 + 0.03 =?
    ? = 0.0003 – 0.00003 + 0.03 = 0.03027 == 0.03