Quantitative Aptitude Practice Question and Answer

Q: How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction ? 1823 0

  • 1
    58 sec
    Correct
    Wrong
  • 2
    62 sec
    Correct
    Wrong
  • 3
    60 sec
    Correct
    Wrong
  • 4
    50 sec
    Correct
    Wrong
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Answer : 4. "50 sec"
Explanation :

Answer: D) 50 sec Explanation: The distance to be covered = Sum of their lengths = 200 + 300 = 500 m. Relative speed = 72 -36 = 36 kmph = 36 x 5/18 = 10 mps. Time required = d/s = 500/10 = 50 sec.

Q: A cuboid of dimension 24cm x 9cm x 8 cm is melted and smaller cubers are of side 3 cm is formed.find how many such cubes can be formed ? 1823 0

  • 1
    64
    Correct
    Wrong
  • 2
    56
    Correct
    Wrong
  • 3
    48
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 1. "64"
Explanation :

Answer: A) 64 Explanation: Volume of cuboid = (24 x 9 x 8) cm = 1728 cu.cmVolume of small cube = (3 x 3 x 3) cm = 27 cu.cm So, No. of small cubes formed = 1728/27 = 64.

Q: In a box, there are 9 blue, 6 white and some black stones. A stone is randomly selected and the probability that the stone is black is ¼. Find the total number of stones in the box? 1818 0

  • 1
    15
    Correct
    Wrong
  • 2
    18
    Correct
    Wrong
  • 3
    20
    Correct
    Wrong
  • 4
    24
    Correct
    Wrong
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Answer : 3. "20"
Explanation :

Answer: C) 20 Explanation: We know that, Total probability = 1 Given probability of black stones = 1/4 => Probability of blue and white stones = 1 - 1/4 = 3/4 But, given blue + white stones =  9 + 6 = 15 Hence, 3/4 ----- 15  1   -----  ? => 15 x 4/3 = 20.   Hence, total number of stones in the box = 20.

Q: 'K' cycled from A to B at 10 kmph and returned at the rate of 9 kmph. 'L' cycled both ways at 12 kmph. In the whole journey 'L' took 10 minutes less than 'K'. Find the distance between A and B ? 1817 0

  • 1
    32.1 km
    Correct
    Wrong
  • 2
    15.23 km
    Correct
    Wrong
  • 3
    3.75 km
    Correct
    Wrong
  • 4
    32.1 m
    Correct
    Wrong
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Answer : 3. "3.75 km"
Explanation :

Answer: C) 3.75 km Explanation: Let 'd' be the distance between A and BK -time = d/10 + d/9 = 19d/90 hoursL -time = 2d/12 = d/6 hoursWe know that, 10 min = 1/6 hoursThus, time difference between K and L is given as 10 minutes. => 19d/90 - d/6 = 1/6=> (19d-15d)/90 = 1/6=> 4d/90 = 1/6Thus,d= 15/4 km = 3.75 km. hence the distance between A and B is 3.75 km.

Q: The difference between two numbers is 3355. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number and larger number respectively ? 1816 0

  • 1
    546, 3901
    Correct
    Wrong
  • 2
    415, 3770
    Correct
    Wrong
  • 3
    668, 4023
    Correct
    Wrong
  • 4
    404, 3759
    Correct
    Wrong
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Answer : 3. "668, 4023"
Explanation :

Answer: C) 668, 4023 Explanation: Let the smaller number be k.Then, larger number = (3355 + k)Therefore 3355 + k = (6k + 15)‹=› 5k = 3340‹=› k = 668. Therefore, the smaller number k = 668 and now the larger number = 3355+668 = 4023.

Q: Find the total numbers greater than 4000 that can be formed with digits 2, 3, 4, 5, 6 no digit being repeated in any number ? 1816 0

  • 1
    120
    Correct
    Wrong
  • 2
    256
    Correct
    Wrong
  • 3
    192
    Correct
    Wrong
  • 4
    244
    Correct
    Wrong
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Answer : 3. "192"
Explanation :

Answer: C) 192 Explanation: We are having with digits 2, 3, 4, 5 & 6 and numbers greater than 4000 are to be formed, no digit is repeated.   The number can be 4 digited but greater than 4000 or 5 digited.   Number of 4 digited numbers greater than 4000 are4 or 5 or 6 can occupy thousand place => 3 x P34 = 3 x 24 = 72.    5 digited numbers = P55 = 5! = 120  So the total numbers greater than 4000 = 72 + 120 = 192

Q: In a mixture of 240 lt. water is 20% and rest is Milk. What quantity of mixture should be taken out and replaced with water so that water becomes 40%? 1815 0

  • 1
    60 lit
    Correct
    Wrong
  • 2
    55 lit
    Correct
    Wrong
  • 3
    45 lit
    Correct
    Wrong
  • 4
    50 lit
    Correct
    Wrong
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Answer : 1. "60 lit"
Explanation :

Answer: A) 60 lit Explanation:

Q: A class is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width. Find the least number of square tiles of equal size required to cover the entire floor of the class room ? 1815 0

  • 1
    115
    Correct
    Wrong
  • 2
    117
    Correct
    Wrong
  • 3
    116
    Correct
    Wrong
  • 4
    114
    Correct
    Wrong
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Answer : 2. "117"
Explanation :

Answer: B) 117 Explanation: Length = 6 m 24 cm = 624 cmWidth = 4 m 32 cm = 432 cmHCF of 624 and 432 = 48Number of square tiles required = (624 x 432)/(48 x 48) = 13 x 9 = 117.

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