Quantitative Aptitude Practice Question and Answer

Q: If a man buys 1 lt of milk for Rs.12 and mixes it with 20% water and sells it for Rs.15, then what is the percentage of gain ? 1881 0

  • 1
    25%
    Correct
    Wrong
  • 2
    30%
    Correct
    Wrong
  • 3
    17%
    Correct
    Wrong
  • 4
    19%
    Correct
    Wrong
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Answer : 1. "25%"
Explanation :

Answer: A) 25% Explanation: He has gain = 15 - 12 = 3,Gain% = (3/12) x 100 = (100/4) = 25.He has 25% gain.

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Answer : 2. "20%"
Explanation :

Answer: B) 20% Explanation: Let the Cost of Production of the article = 100 Then, Labour Cost = 20 Raw Material = 10 Other Expenditure = 100 - 10 – 20 = 70 Selling Price of the article  = 120 After increasing Labour and Raw material cost by 40% & 20% respectively, New Labour cost = 28 New Raw material cost = 12 New Cost of Production = 70 + 28 + 12 = 110 Then, New SP = 110% of 120 = 120 x 110/100 = 132 => New Gain = 132 - 110 = 22 => New Profit % = 22 x 100/110 = 20%

Q: If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days what is time taken by 15 men and 20 boys? 1877 0

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

Answer: A) 4 days Explanation: Given that  6 men and 8 boys can do a piece of work in 10 days  26 men and 48 boys can do the same in 2 days   As the work done is equal, 10(6M + 8B) = 2(26M + 48B) 60M + 80B = 52M + 96B => M = 2B => B = M/2 ……(1)   Now Put (1) in 15M + 20B => 15M + 10M = 25M Now, 6M + 8B in 10 days => (6M + 4M) 10 = 100M Then D(25M) = 100M => D = 4 days.

Q: A letter is takenout at random from 'ASSISTANT'  and another is taken out from 'STATISTICS'. The probability that they are the same letter is : 1875 0

  • 1
    35/96
    Correct
    Wrong
  • 2
    19/90
    Correct
    Wrong
  • 3
    19/96
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "19/90"
Explanation :

Answer: B) 19/90 Explanation: ASSISTANT→AAINSSSTT STATISTICS→ACIISSSTTT Here N and C are not common and same letters can be A, I, S, T. Therefore  Probability of choosing A =  2C19C1×1C110C1 = 1/45   Probability of choosing I = 19C1×2C110C1 = 1/45 Probability of choosing S = 3C19C1×3C110C1 = 1/10 Probability of choosing T = 2C19C1×3C110C1 = 1/15 Hence, Required probability =   145+145+110+115= 1990

Q: K is 4 times as fast as L and working together, they can complete a work in 24 days. In how many days can L alone complete the work ? 1875 0

  • 1
    30 days
    Correct
    Wrong
  • 2
    40 days
    Correct
    Wrong
  • 3
    120 days
    Correct
    Wrong
  • 4
    80 days
    Correct
    Wrong
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Answer : 1. "30 days"
Explanation :

Answer: A) 30 days Explanation: Given K=4L  -->K+L = 4L+L = 5L   These 5L people can complete the work in 24 days, which means L alone can do the work in (24 x 5)=120 days.   Hence, K alone can do the work in 120/4= 30 days.

Q: It takes one minute to fill 2/7 th of a vessel. What is the time taken in minutes to fill the whole of the vessel  ? 1873 0

  • 1
    1/7 min
    Correct
    Wrong
  • 2
    7/2 min
    Correct
    Wrong
  • 3
    5/7 min
    Correct
    Wrong
  • 4
    7/5 min
    Correct
    Wrong
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Answer : 2. "7/2 min"
Explanation :

Answer: B) 7/2 min Explanation: Time taken to fill 2/7 = 1Then to fill full 1 = ?? = 1/(2/7) = 7/2 minutes.

Q: H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is : 1873 0

  • 1
    360
    Correct
    Wrong
  • 2
    180
    Correct
    Wrong
  • 3
    90
    Correct
    Wrong
  • 4
    120
    Correct
    Wrong
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Answer : 2. "180"
Explanation :

Answer: B) 180 Explanation: 4 x 27 x 3125 = 22 × 33 × 55 ;   8 x 9 x 25 x 7 = 23 × 32 × 52 × 7   16 x 81 x 5 x 11 x 49 = 24 × 34 × 5 × 11 × 72   H.C.F = 22 × 32 × 5 = 180.

Q: A person travels from K to L a speed of 50 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips ? 1873 0

  • 1
    55 kmph
    Correct
    Wrong
  • 2
    58 kmph
    Correct
    Wrong
  • 3
    60 kmph
    Correct
    Wrong
  • 4
    66 kmph
    Correct
    Wrong
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Answer : 3. "60 kmph"
Explanation :

Answer: C) 60 kmph Explanation: Speed on return trip = 150% of 50 = 75 km/hr. Average speed = (2 x 50 x 75)/(50 + 75) = 60 km/hr.

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