Quantitative Aptitude Practice Question and Answer

Q: Two solutions have milk & water in the ratio 7:5 and 6:11. Find the proportion in which these two solutions should Be mixed so that the resulting solution has 1 part milk and 2 parts water ? 3906 0

  • 1
    7 : 12
    Correct
    Wrong
  • 2
    8 : 13
    Correct
    Wrong
  • 3
    9 : 4
    Correct
    Wrong
  • 4
    2 : 5
    Correct
    Wrong
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Answer : 2. "8 : 13"
Explanation :

Answer: B) 8 : 13 Explanation: To get the solution that contains 1 part of milk and two parts of water,they must be mixed in the ratio as7x+6x/5y+11y = 1/226x = 16yx/y = 16/26x/y = 8/13

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Answer : 3. "11 बजे सुबह"

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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.

Q: If there are 150 questions in a 3 hr examination. Among these questions 50 are type A problems, which requires twice as much as time be spent on the rest of the type B problems. How many minutes should be spent on type A problems ? 3895 0

  • 1
    75 min
    Correct
    Wrong
  • 2
    82 min
    Correct
    Wrong
  • 3
    90 min
    Correct
    Wrong
  • 4
    101 min
    Correct
    Wrong
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Answer : 3. "90 min"
Explanation :

Answer: C) 90 min Explanation: Let X = Time taken for each of Type B Problems(100 Problems)And 2X = Time taken for each of Type A problems(50 problems) Total time period = 3hrs = 3 x 60min = 180 minutes 100X + 50(2X) = 180100X + 100X = 180200X = 180 min X = 180/200X = 0.90 min By convertiing into seconds, X = 0.90 x 60 secondsX = 54 sec So, time taken for Part A problems is = 54 x 2 x 50 = 5400 seconds= 5400/60sec = 90 minutes.

Q: A group of men can complete a job in K hours. After every 4 hours, half the number of men working at that point of time leave the job. Continuing this way if the job is finished in 16 hours, what is the value of K ? 3894 0

  • 1
    7 hrs
    Correct
    Wrong
  • 2
    7.5 hrs
    Correct
    Wrong
  • 3
    8 hrs
    Correct
    Wrong
  • 4
    8.25 hrs
    Correct
    Wrong
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Answer : 2. "7.5 hrs"
Explanation :

Answer: B) 7.5 hrs Explanation: Let there are L men job requires LK man hours.   job completed in first 4 hrs = L x 4 = 4L job completed in next 4 hrs = 4 x L/2 = 2L job completed in next 4 hrs = 4 x L/4 = L job completed in last 4 hrs = 4 x L/8 = L/2 4L + 2L + L + L/2 = KL K = 7+1/2 = 7.5 hours.

Q: A vertical toy 18 cm long casts a shadow 8 cm long on the ground. At the same time a pole casts a shadow 48 m. long on the ground. Then find the height of the pole ? 3860 0

  • 1
    1080 cm
    Correct
    Wrong
  • 2
    180 m
    Correct
    Wrong
  • 3
    108 m
    Correct
    Wrong
  • 4
    118 cm
    Correct
    Wrong
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Answer : 3. "108 m"
Explanation :

Answer: C) 108 m Explanation: We know the rule that,   At particular time for all object , ratio of height and shadow are same.   Let the height of the pole be 'H'   Then  188=H48   => H = 108 m.

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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: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5% ? 3853 0

  • 1
    Rs. 500
    Correct
    Wrong
  • 2
    Rs. 245
    Correct
    Wrong
  • 3
    Rs. 1250
    Correct
    Wrong
  • 4
    Rs. 635
    Correct
    Wrong
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Answer : 1. "Rs. 500"
Explanation :

Answer: A) Rs. 500 Explanation: (kx5x1)/100 + [(1500 - k)x6x1]/100 = 85 5k/100 + 90 – 6k/100 = 85 k/100 = 5 => k = 500

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