CAT Practice Question and Answer

Q: One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn find the probability the card drawn is red. 1406 0

  • 1
    2/3
    Correct
    Wrong
  • 2
    1/2
    Correct
    Wrong
  • 3
    1/52
    Correct
    Wrong
  • 4
    13/51
    Correct
    Wrong
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Answer : 2. "1/2"
Explanation :

Answer: B) 1/2 Explanation: We know that: When one card is drawn from a pack of 52 cards The numbers of possible outcomes n(s) = 52 We know that there are 26 red cards in the pack of 52 cards⇒ The numbers of favorable outcomes n(E) = 26 Probability of occurrence of an event: P(E)=Number of favorable outcomes/Numeber of possible outcomes=n(E)/n(S) ∴ required probability = 26/52 = 1/2.

Q: A tank is filled in eight hours by three pipes K, L and M. Pipe K is twice as fast as pipe L, and L is twice as fast as M. How much time will pipe L alone take to fill the tank ? 1405 0

  • 1
    32 hrs
    Correct
    Wrong
  • 2
    24 hrs
    Correct
    Wrong
  • 3
    28 hrs
    Correct
    Wrong
  • 4
    26 hrs
    Correct
    Wrong
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Answer : 3. "28 hrs"
Explanation :

Answer: C) 28 hrs Explanation: 1/K + 1/L + 1/M = 1/8 (Given)Also given that K = 2L and L = 2M=> 1/2L + 1/L + 2/L = 1/8=> (1 + 2 + 4)/2L = 1/8=> 2L/7 = 8=> L = 28 hours.

Q: World’s highest railway bridge will be constructed on which river  ? 1405 0

  • 1
    Ganga
    Correct
    Wrong
  • 2
    Chenab
    Correct
    Wrong
  • 3
    Yamuna
    Correct
    Wrong
  • 4
    Kaveri
    Correct
    Wrong
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Answer : 2. "Chenab"
Explanation :

Answer: B) Chenab Explanation: Chenab River in Jammu & Kashmir in next 2 years. Its height is 359 mts i.e 35mts more than the height of Eiffel Tower.

Q: You drive to the store at 20 kmph and return by the same route at 30 kmph. Discounting the time spent at the store, what was your average speed ? 1404 0

  • 1
    25 kmph
    Correct
    Wrong
  • 2
    24 kmph
    Correct
    Wrong
  • 3
    26 kmph
    Correct
    Wrong
  • 4
    22 kmph
    Correct
    Wrong
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Answer : 2. "24 kmph"
Explanation :

Answer: B) 24 kmph Explanation: Average speed=total distance/total timeLet distance to store be  Kthen, total time =(K/20)+(K/30)=K/12and, total time =(2K)so average speed= 2K / (K/12) = 24kmph.

Q: Who has been appointed as the new Director General of Police (DGP) of Telangana State Government? 1404 0

  • 1
    M. Mahender Reddy
    Correct
    Wrong
  • 2
    Dharmendra Rao
    Correct
    Wrong
  • 3
    Anurag Sharma
    Correct
    Wrong
  • 4
    V.V. Srinivas Rao
    Correct
    Wrong
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Answer : 1. "M. Mahender Reddy"
Explanation :

Answer: A) M. Mahender Reddy Explanation: M. Mahender Reddy, Commissioner of Hyderabad Police, has been appointed as the new Director General of Police (DGP) of Telangana State. He took charge on 12 November 2017.Reddy succeeded the first DGP of Telangana State Anurag Sharma, who retired from the service on 11 November 2017. Meanwhile, Hyderabad Police Additional Commissioner V.V. Srinivasa Rao has been made in-charge of Hyderabad Commissioner of Police. Anurag Sharma has now appointed as the advisor to Home Department by the Telangana State Government.

Q: What do you do to improve your knowledge? 1404 0

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Answer :
Explanation :

When an interviewer asks "What do you do to improve your knowledge", because it reflects the major thought process of a person and the way a person gains knowledge and the level to which one is accustomed to the current happenings in the world. In my sense knowledge is not very much obtained through books or any websites. We can give some exercise to the brain so that we can gain knowledge. It is essential to update oneself in order to cope up with this competitive world. First of all you should keep yourself updated with the new technological developments so that if the interviewer asks something concerning the current affairs, you can answer them.You can say that you visit various forums, blogs to keep yourself updated and improve your knowledge. It will be helpful if you have experience of such forums or blogs from before so that you can create a better impression in the minds of the interviewers. It is said that interacting with people of different ages, different communities and different education levels a person can fetch huge knowledge.

Q: 10 boys can complete a work in 7 days and 10 girls take 14 days to complete the work. How many days will 5 boys and 10 girls take to complete the work ? 1403 0

  • 1
    13 days
    Correct
    Wrong
  • 2
    10 days
    Correct
    Wrong
  • 3
    7 days
    Correct
    Wrong
  • 4
    16 days
    Correct
    Wrong
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Answer : 3. "7 days"
Explanation :

Answer: C) 7 days Explanation: 1 boy's 1 day work = 1/70 1 girl's 1 day work = 1/140 (5 boys + 10 girls)'s 1 day work = (5/70 + 10/140) = (1/14 + 1/14) = 1/7   5 boys and 10 girls will complete the work in 7 days.

Q: Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C. 1403 0

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

Answer: D) 7:3 Explanation: Ratio of Milk and water in a vessel A is 4 : 1   Ratio of Milk and water in a vessel B is 3 : 2   Ratio of only milk in vessel A = 4 : 5   Ratio of only milk in vessel B = 3 : 5   Let 'x' be the quantity of milk in vessel C   Now as equal quantities are taken out from both vessels A & B   => 4/5     :     3/5               x   3/5-x          x - 4/5   => 35-xx-45 = 11 (equal quantities)   => x = 7/10   Therefore, quantity of milk in vessel C  = 7   => Water quantity = 10 - 7 = 3   Hence the ratio of milk & water in vessel 3 is 7 : 3

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