Quantitative Aptitude Practice Question and Answer

Q: A certain job was assigned to a group of women to do it in 20 days. But 12 women did not turn up for the job and the remaining did the job in 32 days. The original number of women in the group was? 2242 0

  • 1
    36
    Correct
    Wrong
  • 2
    32
    Correct
    Wrong
  • 3
    22
    Correct
    Wrong
  • 4
    28
    Correct
    Wrong
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Answer : 2. "32"
Explanation :

Answer: B) 32 Explanation: Let the total women in the group be 'W' Then according to the given data,  W x 20 = (W-12) x 32  => W = 32  Therefore, the total number of women in the group = 32

Q: What is the smallest number by which 2880 must be divided in order to make it into a perfect square ? 2241 0

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

Answer: D) 5 Explanation: By trial and error method, we get2880/3 = 960 is not a perfect square2880/4 = 720 is not a perfect square2880/5 = 576 which is perfect square of 24Hence, 5 is the least number by which 2880 must be divided in order to make it into a perfect square.

Q: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there ? 2240 0

  • 1
    205
    Correct
    Wrong
  • 2
    194
    Correct
    Wrong
  • 3
    209
    Correct
    Wrong
  • 4
    159
    Correct
    Wrong
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Answer : 3. "209"
Explanation :

Answer: C) 209 Explanation: We may have (1 boy and 3 girls)or(2boys and 2 girls)or(3 boys and 1 girl)or(4 boys). Required number of ways = (C16× C34) + C26×C24  + (C36× C14) + (C46)   = (24+90+80+15)  = 209.

Q: 14 persons are seated around a circular table. Find the probability that 3 particular persons always seated together. 2238 0

  • 1
    11/379
    Correct
    Wrong
  • 2
    21/628
    Correct
    Wrong
  • 3
    24/625
    Correct
    Wrong
  • 4
    26/247
    Correct
    Wrong
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Answer : 3. "24/625"
Explanation :

Answer: C) 24/625 Explanation: Total no of ways = (14 – 1)! = 13! Number of favorable ways = (12 – 1)! = 11!   So, required probability = 11!×3!13! = 39916800×66227020800 = 24625

Q: Mr. X sold two properties P1 and P2 for Rs 1,00,000 each. He sold property P1 for 20% less than what he paid for it. What is the percentage of profit of property P2, so that he is not in gain or loss on the sale of two properties? 2236 0

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    33.33%
    Correct
    Wrong
  • 2
    29.97%
    Correct
    Wrong
  • 3
    25%
    Correct
    Wrong
  • 4
    22.22%
    Correct
    Wrong
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Answer : 1. "33.33%"
Explanation :

Answer: A) 33.33% Explanation: Let 'A' be the cost price of property P1. Then from the given data, the selling price of P1 = Rs. 1,00,000 He got 20% loss on selling P1 ⇒A - 20A100 = 100000⇒A = 1,25,000 Therefore, the amount he lossed on selling P1 = 25,000 As ge he got no loss or gain on sale of P1 and P2, the gain on selling P2 = 25,000 But the selling price of P2 = 1,00,000 => Cost price of P2 = 75,000   Hence, the profit percentage on P2 = GainCPx 100 = 2500075000x100 = 1003= 33.33%

Q: A 400-metre-long train is running at the speed of 60 km/hour. A man is running in the opposite direction of train at the speed of 12 km/hour. In how much time the train will cross this man? 2236 1

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    50 second
    Correct
    Wrong
  • 2
    30 second
    Correct
    Wrong
  • 3
    20 second
    Correct
    Wrong
  • 4
    40 second
    Correct
    Wrong
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Answer : 3. "20 second"

Q: P, Q, and R can do a job in 12 days together.  If their efficiency of working be in the ratio 3 : 8 : 5, Find in what time Q can complete the same work alone? 2235 0

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    36 days
    Correct
    Wrong
  • 2
    30 days
    Correct
    Wrong
  • 3
    24 days
    Correct
    Wrong
  • 4
    22 days
    Correct
    Wrong
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Answer : 1. "36 days"
Explanation :

Answer: A) 36 days Explanation: Given the ratio of efficiencies of P, Q & R are 3 : 8 : 5 Let the efficiencies of P, Q & R be 3x, 8x and 5x respectively They can do work for 12 days. => Total work = 12 x 16x = 192x   Now, the required time taken by Q to complete the job alone = 162x8x = 24 days.

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Answer : 3. "80%"
Explanation :

Answer: C) 80% Explanation: circumference of A = 2πr = 8 => so r = 4πvolume = π×4π2×10 = 160πcircumference of B = 2πr   = 10 => so r = 5πvolume = π×5π2×8 =  200πso ratio of capacities = 160/200 = 0.8 so capacity of A will be 80% of the capacity of B.

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