CAT LR Truth Lie Questions & Solutions

A sample of real CAT LR Truth Lie past-year questions, each with a worked solution and the correct answer highlighted. AthenaPrep has 3 LR Truth Lie questions in all — sign up free to practise them timed.

1. Q1.CAT 2001

   While Balbir had his back turned, a dog ran into his butcher shop, snatched a piece of meat off the counter and ran out. Balbir was mad when he realised what had happened. He asked three other shopkeepers, who had seen the dog, to describe it. The shopkeepers really did not want to help Balbir. So each of them made a statement which contained one truth and one lie.

   . Shopkeeper number 1 said: “The dog had black hair and a long tail.”

   . Shopkeeper number 2 said: “The dog had a short tail and wore a collar.”

   . Shopkeeper number 3 said: “The dog had white hair and no collar.”

   Based on the above statements, which of the following could be a correct description?

   • The dog had white hair, short tail and no collar

   • The dog had white hair, long tail and a collar

   • The dog had black hair, long tail and a collar

   • The dog had black hair, long tail and no collar

   Show solution

   We know that  Shopkeeper 1 said: “The dog had black hair and a long tail.”. Lets consider the first part as false and other as true. So we have - dog didn't have black hair and the dog had a long tail. Shopkeeper 2 said: “The dog had a short tail and wore a collar.” Here first part has to be false and other consequently will be true. So the dog wore a collar. Shopkeeper 3 said: “The dog had white hair and no collar.” Here 2nd part has to be false and hence 1st part has to be true. Thus, our first assumption satisfies all required conditions. Hence, in this case, we have - The dog had white hair, long tail and a collar. Hence option b.

2. Q2.CAT 1998

   P, Q, R and S are four statements. Relation between these statements is as follows.

   I. If P is true, then Q must be true.
   
   II. If Q is true, then R must be true.
   
   III. If S is true, then either Q is false or R is false.
   
   
   
   Which of the following must be true?

   • If P is true, then S is false

   • If S is false, then Q must be true

   • If Q is true, then P must be true

   • If R is true, then Q must be true

   Show solution

   Options B,C and D are given vice-versa to given statements which is not necessarily true.

   But according to option A, P is true, then Q and R will be true too but S will be false as for S, either Q or R should be false.
   
   So answer will be A.

3. Q3.CAT 1990

   Saira, Mumtaz and Zeenat have a ball, a pen and a pencil, and each girl has just one object in hand. Among the following statements, only one is true and the other two are false.
   I. Saira has a ball.
   II. Mumtaz does not have the ball.
   III. Zeenat does not have the pen.

   Who has the ball?

   • Saira

   • Mumtaz

   • Zeenat

   • Cannot be determined

   Show solution

   Assume the first statement is true. So, Saira has the ball. The other two statements are false. But if Saira has the ball, the statement that Mumtaz does not have the ball is true. But that statement should be false. Therefore, the first statement cannot be true.

   Assume the second statement is true. So, Mumtaz does not have the ball. Also, since the other two statements are false, Saira also does not have the ball. So, Zeenat has the ball. But the third statement "Zeenat does not have a pen" becomes true in this case, which is incorrect. So, the second statement also cannot be true.

   The only possibility is the statement has to be true. So, the second statement is false => Mumtaz has the ball.

CAT LR Truth Lie previous year questions with solutions — AthenaPrep