CAT Practice Question and Answer

Q: Time taken by P alone to finish a work is 50% more than the time taken by P and Q together. Q is thrice as efficient as R. If Q and R together can complete the work in 22.5 days, then how many days will P alone take to complete the work ? 3400 0

  • 1
    17 days
    Correct
    Wrong
  • 2
    11 days
    Correct
    Wrong
  • 3
    15 days
    Correct
    Wrong
  • 4
    16 days
    Correct
    Wrong
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Answer : 3. "15 days"
Explanation :

Answer: C) 15 days Explanation: We know that Time is inversely proportional to Efficiency Here given time ratio of P & P+Q as P/P+Q = 150/100 = 3:2 Efficiency ratio of P & Q as P:Q = 2:1 ....(1) Given Efficiency ratio of Q & R as Q:R = 3:1 ....(2) From (1) & (2), we get P:Q:R = 6:3:1 P alone can finish the work in 22.5(3+1)/6 = 15 days.

Q: Bureaucracy literally means a system of government by 3391 0

  • 1
    Elected representative
    Correct
    Wrong
  • 2
    Officials
    Correct
    Wrong
  • 3
    Group of landlords
    Correct
    Wrong
  • 4
    Nominated representative
    Correct
    Wrong
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Answer : 2. "Officials"
Explanation :

Answer: B) Officials Explanation: A bureaucracy is a way of administratively organizing large numbers of people who need to work together. The term bureaucracy literally means "rule by desks or offices". Organizations in the public and private sector, including universities and governments, rely on bureaucracies to function.

Q: A Certain sum of money an amounts to Rs 2500 in a span Of 5 years and further to Rs.3000 in a span of 7 years at simple interest The sum is ? 3355 0

  • 1
    Rs. 1800
    Correct
    Wrong
  • 2
    Rs. 2000
    Correct
    Wrong
  • 3
    Rs. 1400
    Correct
    Wrong
  • 4
    Rs. 1250
    Correct
    Wrong
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Answer : 4. "Rs. 1250"
Explanation :

Answer: D) Rs. 1250 Explanation: 2500 in 5th year and 3000 in 7th year So in between 2 years Rs. 500 is increased => for a year 500/2 = 250So, per year it is increasing Rs.250 then in 5 years => 250 x 5 = 1250Hence, the initial amount must be 2500 - 1250 = Rs. 1250

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Answer : 2. "J, L"
Explanation :

Answer: B) J, L Explanation: This question concerns a committee’s decision about which five of eight areas of expenditure to reduce. The question requires you to suppose that K and N are among the areas that are to be reduced, and then to determine which pair of areas could not also be among the five areas that are reduced. The fourth condition given in the passage on which this question is based requires that exactly two of K, N, and J are reduced. Since the question asks us to suppose that both K and N are reduced, we know that J must not be reduced: Reduced         ::      K, NNot reduced   ::      J The second condition requires that if L is reduced, neither N nor O is reduced. So L and N cannot both be reduced. Here, since N is reduced, we know that L cannot be. Thus, adding this to what we’ve determined so far, we know that J and L are a pair of areas that cannot both be reduced if both K and N are reduced: Reduced        ::      K, NNot reduced  ::      J, L Answer choice (B) is therefore the correct answer.

Q: Sound waves cannot travel in 3349 0

  • 1
    Vacuum
    Correct
    Wrong
  • 2
    Water
    Correct
    Wrong
  • 3
    Glass
    Correct
    Wrong
  • 4
    Hydrogen gas
    Correct
    Wrong
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Answer : 1. "Vacuum"
Explanation :

Answer: A) Vacuum Explanation: A Sound wave needs a medium for propogation. Hence, Sound cannot travel through a vacuum. A vacuum is an area without any air, like space. So sound cannot travel through space because there is no matter for the vibrations to work in.

Q: If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is ? 3343 0

  • 1
    1.44% loss
    Correct
    Wrong
  • 2
    14.4% loss
    Correct
    Wrong
  • 3
    0%
    Correct
    Wrong
  • 4
    14.4% profit
    Correct
    Wrong
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Answer : 1. "1.44% loss"
Explanation :

Answer: A) 1.44% loss Explanation: SP of each car is Rs. 325475, he gains 12% on first car and losses 12% on second car.In this case, there will be loss and percentage of loss is given by = [(profit%)(loss%)]/100 = (12)(12)/100 % = 1.44%

Q: Pick the odd one out from the given number series? 21, 24, 33, 49, 74 3341 0

  • 1
    21
    Correct
    Wrong
  • 2
    24
    Correct
    Wrong
  • 3
    33
    Correct
    Wrong
  • 4
    49
    Correct
    Wrong
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Answer : 1. "21"
Explanation :

Answer: A) 21 Explanation: The given number series follows a pattern that, 19 + 12 = 20 (not 21)20 + 22 = 2424 + 32 = 3333 + 42 = 4949 + 52 = 74    Hence, the odd number in the given number series is 21.

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? 3341 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

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