Mixed Quantitative Aptitude Questions Set 92

Directions(1-5): What will come in the place of question mark “?” in the given questions.

1. [45% of 6200 – 25*42] / 10 = ?
   155
   110
   120
   90
   174
   Option E
   [45% of 6200 – 25*42] / 10 = ?
   => [2790 – 1050]/10 = ?
   => ? = 174

    

2. 28^2 * 3 – 12*25 – 1526 = ?
   525
   526
   444
   480
   495
   Option B
   28^2 * 3 – 12*25 – 1526 = ?
   =>784* 3 – 300 – 1526 = ?
   => 2352 – 1826 = ?
   => ? = 526

    

3. 44.11 * 11.88 + 27.87 * 16.13 – 272.33 = ?
   700
   717
   689
   704
   699
   Option D
   44.11 * 11.88 + 27.87 * 16.13 – 272.33 = ?
   =>44*12 + 28*16 – 272 = ?
   => 528 + 448 – 272 = ?
   => ? = 704

    

4. 14.03^2 + 13.11 *24.96 – 532.12 / 27.89 = ?
   454
   502
   480
   500
   492
   Option B
   14.03^2 + 13.11 *24.96 – 532.12 / 27.89 = ?
   => 14^2 + 13*25 – 532/28 = ?
   => 196 + 325 – 19 = ?
   => ? = 502

    

5. 60.14% of 419.95 + 768.14 / 11.85 = ?
   333
   350
   316
   325
   300
   Option C
   60.14% of 419.95 + 768.14 / 11.85 = ?
   => 60% of 420 + 768 / 12 = ?
   => 252 + 64 = ?
   => ? = 316

    

6. Find the speed of the Rajdhani Express? I.Length of Rajdhani Express is 250 m can cross a car running at the speed of 10m/s in the same direction in 25 seconds. II.Rajdhani Express can cross a platform of length (x+30)m in 25 seconds.
   II alone is sufficient.
   Neither I nor II to find the answer.
   I alone is sufficient.
   Both are together necessary to find the answer.
   Either I or II to find the answer.
   Option C
   From I.
   250/(s-10) = 25
   => s = 20 m/s
   I is alone sufficient.
   From II.
   {Length + (30+x)} = 25 * s
   II alone is not sufficient.

    

7. A bag contains (x+2),(x+4) and (x+6) balls of three colours red, violet and pink resp. Find the total number of balls. I.The probability of drawing a red ball is (1/4). II. The probability of drawing a violet ball is (1/3).
   Both are together necessary to find the answer.
   I alone is sufficient.
   Either I or II to find the answer.
   II alone is sufficient.
   Neither I nor II to find the answer.
   Option B
   Total number of balls in the bag = 3(x+4)
   From I. (x+2)/{3x+12} = ¼
   => x = 4
   Total number of balls = 24 I alone is sufficient.
   From II. (x+4)/{3x+12} = 1/3 => 1/3 = 1/3
   II is not sufficient to answer.

    

8. Find the age of B after 6 years. I. 4 years hence, the ratio of age of A and B will be 4:5 resp. And age of C is 6 years more than the average present age of A and B taken together. II. Ratio of age of B 4 years ago and present age of C is 3:5 resp.
   Either I or II to find the answer.
   II alone is sufficient.
   Neither I nor II to find the answer.
   Both are together necessary to find the answer.
   I alone is sufficient.
   Option D
   From I.
   Let ages of A and B after 4 years be 4x and 5x resp.
   Age of C = [4x+5x-4-4]/(2+6) = (4.5x +2) years I alone is not sufficient.
   From II.
   II alone is also not sufficient to answer.
   Combining I and II, (5x-8)/(4.5x+2) = 3/5
   => x = 4
   Age of B after 6 years
   = 5*4 – 4 + 6 = 22 years

    

9. There are five consecutive even numbers. Find the average of these five numbers. I.Second largest even number is 4 more than the second smallest even number. II. Largest even number is 40% more than the smallest even number.
   Neither I nor II to find the answer.
   I alone is sufficient.
   Both are together necessary to find the answer.
   Either I or II to find the answer.
   II alone is sufficient.
   Option E
   From I.
   Let the consecutive even numbers be 2x , 2x+2, 2x+4, 2x+6 and 2x+8.
   Now, 2x+6 – 2x- 2 = 4
   Since, x is eliminated, so the average of the numbers cannot be determined.
   I alone is not sufficient to calculate.
   From II.
   Let the consecutive even numbers be 2x , 2x+2, 2x+4, 2x+6 and 2x+8.
   Now, 1.40*2x = 2x+8
   => x = 10
   Hence, numbers are 20,24,26 and 28.
   Average = 24
   II alone is sufficient.

    

10. What is the time taken by train to travel from Delhi to Punjab. The distance between Delhi and Punjab is 270 km.
    I.Time taken by train to cross a platform of length 350 m in 40 seconds.
    II. Time taken by train to cross a man standing on platform is (50/3) seconds.
    I alone is sufficient.
    Both are together necessary to find the answer.
    Either I or II to find the answer.
    Neither I nor II to find the answer.
    II alone is sufficient.
    Option B
    From I.
    (Length + 350)/ speed = 40
    I alone is not sufficient to answer.
    From II.
    Length/speed = 50/3
    II alone is not sufficient.
    Combining I and II, we get {50*speed}/3 + 350 = 40* speed
    speed = 15m/s
    speed = 15*18/5 = 54 km/hr.
    Hence, required time = 270/54 = 5 hours