Quantitative Aptitude Practice Question and Answer

Q: A goods truck travels from a place at a certain time and at fixed speed. After 6hrs another truck leaves the same place and move in same direction of uniform speed of 90kmph. The truck catches up the goods truck in 4hrs. Find the speed of the goods truck ? 1360 0

  • 1
    36 kmph
    Correct
    Wrong
  • 2
    32 kmph
    Correct
    Wrong
  • 3
    28 kmph
    Correct
    Wrong
  • 4
    34 kmph
    Correct
    Wrong
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Answer : 1. "36 kmph"
Explanation :

Answer: A) 36 kmph Explanation: Let the speed of goods truck be 'p' kmphDistance covered by goods truck in 10hrs (4+6) = Distance covered by other truck in 4 hrs. 10p = 4 x 90p = 36kmph.Therefore, the speed of the goods truck is p = 36 kmph.

Q: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is  ? 1359 0

  • 1
    1 : 2
    Correct
    Wrong
  • 2
    3 : 1
    Correct
    Wrong
  • 3
    4 : 7
    Correct
    Wrong
  • 4
    3 : 2
    Correct
    Wrong
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Answer : 4. "3 : 2"
Explanation :

Answer: D) 3 : 2 Explanation: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 => 27 x + 17 y = 23 x + 23 y => 4 x = 6 y => x/y = 3/2.

Q: The angle between the minute hand and the hour hand of a clock when the time is 4.15 is 1359 0

  • 1
    0
    Correct
    Wrong
  • 2
    37.5
    Correct
    Wrong
  • 3
    27
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
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Answer : 2. "37.5"
Explanation :

Answer: B) 37.5 Explanation: Angle between hands of a clock   When the minute hand is behind the hour hand, the angle between the two hands at M minutes past H 'o clock   => 30H-M5+M2 degrees   Here H = 4, M = 15 and the minute hand is behind the hour hand.   Hence the angle    = 30[4-(15/5)]+15/2 = 30(1)+7.5 = 37.5 degrees

Q: 112 × 54 = 1358 0

  • 1
    68947
    Correct
    Wrong
  • 2
    69874
    Correct
    Wrong
  • 3
    70000
    Correct
    Wrong
  • 4
    76000
    Correct
    Wrong
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Answer : 3. "70000"
Explanation :

Answer: C) 70000 Explanation: 112 × 54112 × 1024= 112 × 1000024= 1120000/16 = 70,000.

Q: On the occasion of New Year, each student of a class sends greeting cards to the others. If there are 21 students in the class, what is the total number of greeting cards exchanged by the students? 1358 0

  • 1
    380
    Correct
    Wrong
  • 2
    420
    Correct
    Wrong
  • 3
    441
    Correct
    Wrong
  • 4
    400
    Correct
    Wrong
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Answer : 2. "420"
Explanation :

Answer: B) 420 Explanation: Given total number of students in the class = 21   So each student will have 20 greeting cards to be send or receive (21 - 1(himself))   Therefore, the total number of greeting cards exchanged by the students = 20 x 21 = 420.

Q: A woman fills a bucket in 6 minutes. 1845 buckets have to be filled from 8 am. to 9:30 am. How many woman employees should be employed for this task? 1356 0

  • 1
    111
    Correct
    Wrong
  • 2
    117
    Correct
    Wrong
  • 3
    123
    Correct
    Wrong
  • 4
    139
    Correct
    Wrong
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Answer : 3. "123"
Explanation :

Answer: C) 123 Explanation: We know that, M1 × D1W1 = M2 × D2W2 Here M1 = 1, D1 = 6 min, W1 = 1 and M2 = M, D2 = 90 min, W2 = 1845   1 × 61 = M × 901845  => M = 123

Q: K, L and M can do a piece of work in 20, 30 and 60 days respectively. In how many days can K do the total work if he is assisted by L and M on every third day ? 1355 0

  • 1
    15 days
    Correct
    Wrong
  • 2
    13 days
    Correct
    Wrong
  • 3
    12 days
    Correct
    Wrong
  • 4
    10 days
    Correct
    Wrong
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Answer : 1. "15 days"
Explanation :

Answer: A) 15 days Explanation: In one day work done by K = 1/20 Work done by K in 2 days = 1/10   Work done by K,L,M on 3rd day =1/20 + 1/30 + 1/60 = 1/10 Therefore, workdone in 3 days is = 1/10 + 1/10 = 1/5   1/5th of the work will be completed at the end of 3 days. The remaining work = 1 - 1/5 = 4/5 1/5 of work is completed in 3 days Total work wiil be done in 3 x 5 = 15 days.

Q: If x = 2 + 223 + 213 then find the value of x3-6x2+6x ? 1354 0

  • 1
    1
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    4
    Correct
    Wrong
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Answer : 2. "2"
Explanation :

Answer: B) 2 Explanation: Given that x = 2+ 223 + 213   So x - 2 = 223 + 213   Now cubing on both sides, we get     => x3-8-6x2+12x = 4 + 2 + 6(x-2)   Therefore, x3-6x2+6x = -6 + 8 = 2

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