CAT Practice Question and Answer

Q: Who has sworn in as 45th Chief Justice of India  ? 1695 0

  • 1
    Dipak Misra
    Correct
    Wrong
  • 2
    J S Khehar
    Correct
    Wrong
  • 3
    T. S. Thakur
    Correct
    Wrong
  • 4
    Ranganath Misra
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "Dipak Misra"
Explanation :

Answer: A) Dipak Misra Explanation:

Q: What is the first step in the refining of petroleum? 1695 0

  • 1
    Distillation
    Correct
    Wrong
  • 2
    Cooling
    Correct
    Wrong
  • 3
    Drilling
    Correct
    Wrong
  • 4
    Cracking
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "Distillation"
Explanation :

Answer: A) Distillation Explanation: The first step in the refining of petroleum is distillation i.e,  the fractionation of crude oil in atmospheric and vacuum distillation towers. The first process petroleum refinery is known as distillation. In this process, crude oil is heated and fed into a distillation column. As the temperature of the crude oil in the distillation column rises, the crude oil separates itself into different components, called "fractions." The fractions are then captured separately. Each fraction corresponds to a different type of petroleum product, depending on the temperature at which that fraction boils off the crude oil mixture.

  • Show AnswerHide Answer
  • Workspace

Answer : 1. "5"
Explanation :

Answer: A) 5 Explanation: The following arrangements satisfy all 3 conditions. Arrangement 1: 3 books in a row; 12 rows. Arrangement 2: 4 books in a row; 9 rows.Arrangement 3: 6 books in a row; 6 rows.Arrangement 4: 9 books in a row; 4 rows.Arrangement 5: 12 books in a row; 3 rows.   Therefore, the possible arrangements are 5.

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 ? 1694 0

  • 1
    32 hrs
    Correct
    Wrong
  • 2
    24 hrs
    Correct
    Wrong
  • 3
    28 hrs
    Correct
    Wrong
  • 4
    26 hrs
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

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: The sum of the two digits of a number is 8. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number ? 1694 0

  • 1
    28
    Correct
    Wrong
  • 2
    19
    Correct
    Wrong
  • 3
    37
    Correct
    Wrong
  • 4
    17
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "17"
Explanation :

Answer: D) 17 Explanation: Any two digit number can be written as (10P + Q), where P is the digit in the tens place and Q is the digit in the units place.P + Q = 8 ----- (1)(10Q + P) - (10P + Q) = 549(Q - P) = 54(Q - P) = 6 ----- (2)Solve (1) and (2) P = 1 and Q = 7The required number is = 17

Q: There are 6561 balls are there out of them 1 is heavy. Find the minimum number of times the balls have to be weighted for finding out the heavy ball ? 1694 0

  • 1
    2414
    Correct
    Wrong
  • 2
    204
    Correct
    Wrong
  • 3
    87
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "8"
Explanation :

Answer: D) 8 Explanation: Suppose there are 9 balls   Let us give name to each ball B1 B2 B3 B4 B5 B6 B7 B8 B9   Now we will divide all the balls into 3 groups.   Group1 - B1 B2 B3   Group2 - B4 B5 B6   Group3 - B7 B8 B9   Step1 - Now weigh any two groups. Let's assume we choose Group1 on left side of the scale and Group2 on the right side.   So now when we weigh these two groups we can get 3 outcomes.   Weighing scale tilts on left - Group1 has a heavy ball.Weighing scale tilts on right - Group2 has a heavy ball.Weighing scale remains balanced - Group3 has a heavy ball.Lets assume we got the outcome as 3. i.e Group 3 has a heavy ball.   Step2 - Now weigh any two balls from Group3. Lets assume we keep B7 on left side of the scale and B8 on right side.   So now when we weigh these two balls we can get 3 outcomes.   Weighing scale tilts on left - B7 is the heavy ball.Weighing scale tilts on right - B8 is the heavy ball.Weighing scale remains balanced - B9 is the heavy ball.The conclusion we get from this Problem is that each time weigh. We element 2/3 of the balls.   As we came to conclusion that Group3 has the heavy ball from Step1, we remove 6 balls from the equation i.e (2/3) of 9.   Simillarly we do the ame thing for the Step2.   Now going with this conclusion. We have 6561 balls.   Step - 1   Divided into 3 groups   Group1 - 2187Balls   Group2 - 2187Balls   Group3 - 2187Balls   Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.   Step - 2   Divided into 3 groups   Group1 - 729Balls   Group2 - 729Balls   Group3 - 729Balls   Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.   Step - 3   Divided into 3 groups   Group1 - 243Balls   Group2 - 243Balls   Group3 - 243Balls   Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.   Step - 4   Divided into 3 groups   Group1 - 81Balls   Group2 - 81Balls   Group3 - 81Balls   Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.   Step - 5   Divided into 3 groups   Group1 - 27Balls   Group2 - 27Balls   Group3 - 27Balls   Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.   Step - 6   Divided into 3 groups   Group1 - 9Balls   Group2 - 9Balls   Group3 - 9Balls   Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.   Step - 7   Divided into 3 groups   Group1 - 3Balls   Group2 - 3Balls   Group3 - 3Balls   Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.   Step - 8   So now when we weigh 2 balls out of 3 we can get 3 outcomes.   Weighing scale tilts on left - left side placed is the heavy ball.Weighing scale tilts on right - right side placed is the heavy ball.Weighing scale remains balanced - remaining ball is the heavy ball.So the general answer to this question is, it is always multiple of 3 steps.   For 9 balls  32= 9. therefore 2 steps   For 6561 balls 38 = 6561 therefore 8 steps

Q: A train is moving and crossing a man who is running on a  platform of 100 m at a speed of 8 kmph in the direction of the train, in 9 sec. If the speed of the train is 74 kmph. Find the length of the train ? 1694 0

  • 1
    202 mts
    Correct
    Wrong
  • 2
    188 mts
    Correct
    Wrong
  • 3
    165 mts
    Correct
    Wrong
  • 4
    156 mts
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "165 mts"
Explanation :

Answer: C) 165 mts Explanation: Let the length of the train = L mts Relative speed of train and man = 74 - 8 = 66 kmph = 66 x 5/18 m/s => 66 x 5/18 = L/9 => L = 165 mts.

Q: A number is 2 more than thrice the second number and 4 times the smaller number is 5 more than the greater number. What is greater number  ? 1694 0

  • 1
    7
    Correct
    Wrong
  • 2
    23
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    21
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "23"
Explanation :

Answer: B) 23 Explanation: Let the greater and smaller number be p and q respectively. 4q = p + 5 ------ (I) p = 3q+2 ------- (II) From equation (I) and (II) q = 7 p = 23

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully