CAT Practice Question and Answer

Q: A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. If they get Rs. 3000 as wages for the whole work, what are the daily wages of A, B and C respectively (in Rs): 1800 0

  • 1
    200, 250, 300
    Correct
    Wrong
  • 2
    300, 200, 250
    Correct
    Wrong
  • 3
    200, 300, 400
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "300, 200, 250"
Explanation :

Answer: B) 300, 200, 250 Explanation: A's 5 days work = 50%   B's 5 days work = 33.33%  C's 2 days work = 16.66%     [100- (50+33.33)]  Ratio of contribution of work of A, B and C = 50 : 3313 : 1623 = 3 : 2 : 1    A's total share = Rs. 1500  B's total share = Rs. 1000  C's total share = Rs. 500     A's one day's earning = Rs.300   B's one day's earning = Rs.200   C's one day's earning = Rs.250

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Answer : 2. "8 hours"
Explanation :

Answer: B) 8 hours Explanation: Efficiency of Inlet pipe A = 4.16%       10024    Efficiency of Inlet pipe B = 5.83%      1001717     Therefore, Efficiency of A and B together = 100 %      Now, if the efficiency of outlet pipe be x% then in 10 hours the capacity of tank which will be filled = 10 *  (10 - x)   Now, since this amount of water is being emptied by 'C' at x% per hour, then    10x10-xx=2.5 hrs   => x = 8    Therefore, in 10 hours 20% tank is filled only. Hence, the remaining 80% of the  capacity will be filled by pipes A and B  in 80/10 = 8 hours

Q: How Many Prime ministers have conferred with Bharat Ratna upto November 2014 ? 1247 0

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Answer :
Explanation :

Six

Q: A Shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net Profit or loss that he makes? 6115 0

  • 1
    4%
    Correct
    Wrong
  • 2
    5%
    Correct
    Wrong
  • 3
    6%
    Correct
    Wrong
  • 4
    8%
    Correct
    Wrong
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Answer : 1. "4%"
Explanation :

Answer: A) 4% Explanation: SP of first article = Rs.1000   Profit = 20%  CP = SP x 100100+P% = Rs. 25003 SP of Second Article = Rs.1000  Loss = 20%  CP = SP x 100100-L% = Rs. 1250   So, Total SP = Rs.2000; Total CP = Rs.6250/3   As the CP is more than SP, he makes a loss.   Loss = CP - SP = (6250/3) - 2000 = Rs.(250/3)   So, Loss Percent = Lossx100/CP = 4%

Q: By selling an article at Rs.800, a shopkeeper makes a profit of 25%.At what price should he sell the article so as to make a loss of 25%? 3880 0

  • 1
    Rs.720
    Correct
    Wrong
  • 2
    Rs.640
    Correct
    Wrong
  • 3
    Rs.540
    Correct
    Wrong
  • 4
    Rs.480
    Correct
    Wrong
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Answer : 4. "Rs.480"
Explanation :

Answer: D) Rs.480 Explanation: SP = Rs.800 ; Profit = 25%  CP = SP x 100100+P% = 800 x 100100+25 = 640    Now, CP = Rs.640   Loss = 25% = 25% of Rs.640 = Rs.160   Thus, SP = CP - Loss = Rs.640 - Rs.160 = Rs.480

Q: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares? 3201 0

  • 1
    10000 and 15000
    Correct
    Wrong
  • 2
    15000 and 10000
    Correct
    Wrong
  • 3
    5000 and 20000
    Correct
    Wrong
  • 4
    20000 and 5000
    Correct
    Wrong
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Answer : 1. "10000 and 15000"
Explanation :

Answer: A) 10000 and 15000 Explanation: As both A and B invest the same amounts, the ratio of their profits at the end of the year is equal to the ratio of the time periods for which they have invested.   Thus, the required ratio of their profits = A : B = 8 : 12 = 2 : 3.   Hence, share of A in the total profit = 2 x 25000/5 = Rs.10000   Similarly, share of B in the total profit = 3 x 25000/5 = Rs.15000

Q: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days? 3371 0

  • 1
    710 acres
    Correct
    Wrong
  • 2
    760 acres
    Correct
    Wrong
  • 3
    810 acres
    Correct
    Wrong
  • 4
    860 acres
    Correct
    Wrong
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Answer : 3. "810 acres"
Explanation :

Answer: C) 810 acres Explanation: 12 men120 acres36 days54 men?54 days  As 12 men can reap 120 acres, 54 men will be able to reap more acres in 36 days, 120 acres of land was reaped, so in 54 days, more land will be reaped.   Thus, the numbers of acres that can be reaped by 54 men in 54 days = 5412x120x5436 = 810 acres

Q: Sumanth walks 200 feet straight from his house, which is facing north and then he walks 100 feet in reverse direction.Further he takes a left turn and walks 300 yards.In Which direction is Sumanth now from his original position? 1692 0

  • 1
    South-East
    Correct
    Wrong
  • 2
    North-East
    Correct
    Wrong
  • 3
    South-West
    Correct
    Wrong
  • 4
    North-West
    Correct
    Wrong
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Answer : 2. "North-East"
Explanation :

Answer: B) North-East Explanation: Starting From his house, Sumanth walks 200 feet straight towards North; we can write it as N200. Similarly, the other distances and directions can be considered and written as follows : (Notice that he covers 300 yards towards East; one yard = 3 feet and hence 300 yards = 900 feet)  N200S100E900 Adding all south and all North distances and finding the net result, and also adding all East and all West distances and finding the net result, this can further be summarized as : N100E900  Thus, the direction from his original position is North-East.

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