Quantitative Aptitude Practice Question and Answer

Q: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current  ? 3636 0

  • 1
    1 kmph
    Correct
    Wrong
  • 2
    3.2 kmph
    Correct
    Wrong
  • 3
    1.5 kmph
    Correct
    Wrong
  • 4
    2 kmph
    Correct
    Wrong
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Answer : 3. "1.5 kmph"
Explanation :

Answer: C) 1.5 kmph Explanation: 72 --- 9 ? ---- 1 => Down Stream = 8 45 ---- 9 ? ---- 1 => Up Stream = 5 Speed od current S = ? S = (8 - 5)/2 = 1.5 kmph.

Q: Two trains, one from Hyderabd to Bangalore and the other from Bangalore to Hyderabad, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is  ? 3613 0

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

Answer: B) 4 : 3 Explanation: Let us name the trains as A and B. Then, (A's speed) : (B's speed) = √b : √a = √16 : √9 = 4:3

Q: Ten years ago, Karan was thrice as old as Shiva was but 10 years hence, he will be only twice as old. Find Shiva’s present age ? 3611 0

  • 1
    70 years
    Correct
    Wrong
  • 2
    30 years
    Correct
    Wrong
  • 3
    60 years
    Correct
    Wrong
  • 4
    40 years
    Correct
    Wrong
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Answer : 2. "30 years"
Explanation :

Answer: B) 30 years Explanation: Let Karan’s present age be x years and Shiva’s present age be y years.Then, according to the first condition,x - 10 = 3(y - 10) or x - 3y = - 20 ..(1) Now, Karan’s age after 10 years = (x + 10) yearsShiva’s age after 10 years = (y + 10)(x + 10) = 2 (y + 10) or x - 2y = 10 ..(2) Solving (1) and (2), we get x = 70 and y = 30Karan’s age = 70 years and Shiva’s age = 30 years.

Q: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 kmph. Then find the speed of faster train  ? 3611 0

  • 1
    68 kmph
    Correct
    Wrong
  • 2
    52 kmph
    Correct
    Wrong
  • 3
    76 kmph
    Correct
    Wrong
  • 4
    50 kmph
    Correct
    Wrong
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Answer : 1. "68 kmph"
Explanation :

Answer: A) 68 kmph Explanation: Let the speed of the faster train be 'X' kmph, Then their relative speed= X - 48 kmphTo cross slower train by faster train, Distance need to be cover = (400 + 600)m = 1 km. and Time required = 180 sec = 180/3600 hr = 1/20 hr.Time = Distance/Speed => 1/20 = 1/(x-48)X = 68 kmph

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Answer : 2. "30 min"
Explanation :

Answer: B) 30 min Explanation: Distance travelled by Ramu = 45 x 4 = 180 km Somu travelled the same distance in 6 hours. His speed = 180/6 = 30 km/hr Hence in the conditional case, Ramu's speed = 45 - 9 = 36 km/hr and Somu's speed = 30 + 10 = 40km/hr. Therefore travel time of Ramu and Somu would be 5 hours and 4.5 hours respectively. Hence difference in the time taken = 0.5 hours = 30 minutes.

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Answer : 2. "Rs.17,500"
Explanation :

Answer: B) Rs.17,500 Explanation: Let’s assume John bought the laptop for Rs. 100He then sells it to Mark at a loss of 20% => Rs. 80,Who consequently sells it to Kevin at a profit of 25% =>  Rs. 100Then, Kevin sells it back to Mark for Rs. 90 (Rs.4.50 for every Rs. 5 that he had paid initially), so he suffers a loss of Rs. 10Therefore, for Rs. 100 there is a loss of Rs. 10,Then for Rs. 1,75,000 there will be a loss of Rs. 17,500.

Q: A bus starts from point A to reach at B at 6 am at 60 kmph speed. Another bus starts from point B to reach at A at 50 kmph speed at 8 am. The distance between the two points is 450 km, find at what time both buses will meet. 3577 0

  • 1
    9 am
    Correct
    Wrong
  • 2
    10 am
    Correct
    Wrong
  • 3
    11 am
    Correct
    Wrong
  • 4
    none of these
    Correct
    Wrong
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Answer : 3. "11 am "

Q: The ratio of the incomes of Pavan and Amar is 4 : 3 and the ratio of their expenditures are 3:2. If each person saves Rs. 1889, then find the income of Pavan? 3567 0

  • 1
    6548
    Correct
    Wrong
  • 2
    5667
    Correct
    Wrong
  • 3
    7556
    Correct
    Wrong
  • 4
    8457
    Correct
    Wrong
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Answer : 3. "7556"
Explanation :

Answer: C) 7556 Explanation: Let ratio of the incomes of Pavan and Amar be 4x and 3x and Ratio of their expenditures be 3y and 2y 4x - 3y = 1889 ......... I and 3x - 2y = 1889 ...........II I and II y = 1889 and x = 1889 Pavan's income = 7556

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