Quantitative Aptitude Practice Question and Answer
8Q: 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 05b5cc6e2e4d2b4197774ec2f
5b5cc6e2e4d2b4197774ec2f- 158 secfalse
- 262 secfalse
- 360 secfalse
- 450 sectrue
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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 ? 1821 05b5cc701e4d2b4197774f1c1
5b5cc701e4d2b4197774f1c1- 164true
- 256false
- 348false
- 440false
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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 05b5cc64ae4d2b4197774bc47
5b5cc64ae4d2b4197774bc47- 115false
- 218false
- 320true
- 424false
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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: 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 05b5cc6cde4d2b4197774e1db
5b5cc6cde4d2b4197774e1db- 1120false
- 2256false
- 3192true
- 4244false
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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: '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 ? 1816 05b5cc74fe4d2b4197774faef
5b5cc74fe4d2b4197774faef- 132.1 kmfalse
- 215.23 kmfalse
- 33.75 kmtrue
- 432.1 mfalse
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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: 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 05b5cc6bee4d2b4197774d98d
5b5cc6bee4d2b4197774d98d- 160 littrue
- 255 litfalse
- 345 litfalse
- 450 litfalse
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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 05b5cc6e7e4d2b4197774ed6a
5b5cc6e7e4d2b4197774ed6a- 1115false
- 2117true
- 3116false
- 4114false
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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.
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 ? 1815 05b5cc754e4d2b4197774fb81
5b5cc754e4d2b4197774fb81- 1546, 3901false
- 2415, 3770false
- 3668, 4023true
- 4404, 3759false
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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.