Quantitative Aptitude Practice Question and Answer

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? 1752 0

  • 1
    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.

Q: 1397 x 1397 = ? Here what replaces '?' 1750 0

  • 1
    1951609
    Correct
    Wrong
  • 2
    1821504
    Correct
    Wrong
  • 3
    2031489
    Correct
    Wrong
  • 4
    1847879
    Correct
    Wrong
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Answer : 1. "1951609"
Explanation :

Answer: A) 1951609 Explanation: 1397 x 1397

Q: A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is ? 1749 0

  • 1
    11
    Correct
    Wrong
  • 2
    7
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    13
    Correct
    Wrong
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Answer : 3. "9"
Explanation :

Answer: C) 9 Explanation: Here the number of cogs is inveresly proportional to number of revolutions => More cogs less revolution=> 6 : 14 :: x : 21=> (21x6)/14 = 9

Q: A man can row upstream at 16 km/hr and downstream at 24 km/hr. Find the speed of the current. 1748 0

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

Answer: A) 4 kmph Explanation: Speed of the current = 24-16/2 = 8/2 = 4 km/hr.

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 ? 1747 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.

Q: In a certain Business, the profit is 220% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit ? 1746 0

  • 1
    61%
    Correct
    Wrong
  • 2
    75%
    Correct
    Wrong
  • 3
    55%
    Correct
    Wrong
  • 4
    81%
    Correct
    Wrong
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Answer : 1. "61%"
Explanation :

Answer: A) 61% Explanation: Let C.P.= Rs. 100. Then, Profit = Rs.220,  S.P. = Rs.320.   New C.P. = 125% of Rs. 100 = Rs. 125  New S.P. = Rs.320. Profit = Rs. (320 - 125) = Rs. 195   Required percentage = 195320×100== 60.9 =~ 61%

Q: (3x + 2) (2x - 5) = ax² + kx + n. What is the value of  a - n + k ? 1745 0

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

Answer: C) 5 Explanation: (3x + 2) (2x - 5) = ax2+kx+n ...............(1)   But (3x + 2)(2x - 5) = 6x2-11x-10........(2)   so by comparing (1) & (2),   we get a= 6, k= -11 , n= -10   (a - n + k) = 6 + 10 - 11 = 5.

Q: 14 persons are seated around a circular table. Find the probability that 3 particular persons always seated together. 1745 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

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