CAT Practice Question and Answer

Q: A merchant buys two items for Rs. 7500. One item he sells at a profit of 16% and the other item at 14% loss. In the deal, the merchant makes neither any profit nor any loss. What is the difference between the selling price of both the items? 2585 0

  • 1
    Rs. 620
    Correct
    Wrong
  • 2
    Rs. 654
    Correct
    Wrong
  • 3
    Rs. 725
    Correct
    Wrong
  • 4
    Rs. 747
    Correct
    Wrong
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Answer : 1. "Rs. 620"
Explanation :

Answer: A) Rs. 620 Explanation: Let the C.P of one item is Rs. P and that of other is Rs. (7500 - P) According to the data given C.P = S.P => Px(116/100) + (7500-P)x(86/100) = 7500 => 30P = 105000 => P = 3500 Required difference between selling prices = Rs. [(3500/100) x 116] - [(4000/100) x 86] = 4060-3440 = Rs. 620

Q: K can build a wall in 30 days. L can demolish that wall in 60 days. If K and L work on alternate days, when will the wall be completed ? 2583 1

  • 1
    120 days
    Correct
    Wrong
  • 2
    119 days
    Correct
    Wrong
  • 3
    118 days
    Correct
    Wrong
  • 4
    117 days
    Correct
    Wrong
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Answer : 4. "117 days"
Explanation :

Answer: D) 117 days Explanation: K's work in a day(1st day) = 1/30L's work in a day(2nd day)= -1/60(demolishing)hence in 2 days, combined work= 1/30 - 1/60 =1/60since both works alternatively, K will work in odd days and L will work in even days.1/60 unit work is done in 2 days58/60 unit work will be done in 2 x 58 days = 116 daysRemaining work = 1-58/60 = 1/30Next day, it will be K's turn and K will finish the remaining 1/30 work.hence total days = 116 + 1 = 117.

Q: In a certain code DOWN is written as '5@9#' and NAME is written as '#6%3'. How is MODE written in that code ? 2582 0

  • 1
    6@53
    Correct
    Wrong
  • 2
    %@53
    Correct
    Wrong
  • 3
    53%#
    Correct
    Wrong
  • 4
    %#35
    Correct
    Wrong
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Answer : 2. "%@53"
Explanation :

Answer: B) %@53 Explanation: From the given information : D O W N A M E == 5 @ 9 # 6 % 3 MODE = %@53

Q: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2490 ? 2577 0

  • 1
    Rs. 820
    Correct
    Wrong
  • 2
    Rs. 830
    Correct
    Wrong
  • 3
    Rs. 840
    Correct
    Wrong
  • 4
    Rs. 850
    Correct
    Wrong
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Answer : 2. "Rs. 830"
Explanation :

Answer: B) Rs. 830 Explanation: Let the total amount in the partnership be 'x'.Then A's share = x/3B's share = x/4C's share = x/5D's share = x - (x/3 + x/4 +x/5) = 13x/60 A : B : C : D = x/3 : x/4 : x/5 : 13x/60 = 20 : 15 : 12 : 13 A's share in the profit of Rs. 2490 = 20 (2490/60) = Rs. 830.

Q: Some mangoes are yellow. Some tixo are mangoes. Conclusions:(i) Some mangoes are green.(ii) Tixo is a yellow. 2576 0

  • 1
    Only conclusion (i) follows
    Correct
    Wrong
  • 2
    Only conclusion (ii) follows
    Correct
    Wrong
  • 3
    Either (i) or (ii) follows
    Correct
    Wrong
  • 4
    Neither (i) nor (ii) follows
    Correct
    Wrong
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Answer : 4. "Neither (i) nor (ii) follows"
Explanation :

Answer: D) Neither (i) nor (ii) follows Explanation:

Q: Which acid is produced when milk gets sour? 2573 0

  • 1
    Lactic acid
    Correct
    Wrong
  • 2
    Acetic acid
    Correct
    Wrong
  • 3
    Tartaric acid
    Correct
    Wrong
  • 4
    Butyric acid
    Correct
    Wrong
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Answer : 1. "Lactic acid"
Explanation :

Answer: A) Lactic acid Explanation:

Q: Describe a situation in which you had to arrive at a compromise or guide others to a compromise ? 2573 0

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Answer :
Explanation :

This question is designed to see how well you can mediate a situation and handle conflict. You want to come across as someone who can compromise when necessary. An interviewer wants to see that you can not only reach an outcome that is desirable for both sides of a conflict of interest, but also that you can understand where the other person is coming from. Empathy and understanding go a long way in any job and this is a good opportunity to show that you can put yourself in another’s shoes.

Q: The average age of seven persons sitting in a row facing east is 26 years. If the average age of the first three persons is 19 years and the average age of the last three persons is 32 years, then find the age of the person sitting in the middle of the row ? 2573 0

  • 1
    32 yrs
    Correct
    Wrong
  • 2
    29 yrs
    Correct
    Wrong
  • 3
    24 yrs
    Correct
    Wrong
  • 4
    27 yrs
    Correct
    Wrong
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Answer : 2. "29 yrs"
Explanation :

Answer: B) 29 yrs Explanation: Total age seven persons = (26 x 7)yearsTotal age of the first three persons and the last three persons are (19 x 3) years and (32 x 3) years respectively.Age of the person sitting in the middle of the row = 26 x 7 - 19 x 3 - 32 x 3 = 182 - 57 - 96 = 29 years.

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