CAT LR Coins and Weights Questions & Solutions

A sample of real CAT LR Coins and Weights past-year questions, each with a worked solution and the correct answer highlighted. AthenaPrep has 8 LR Coins and Weights questions in all — sign up free to practise them timed.

1. Passage

   DIRECTIONS for the following two questions: These questions are based on the situation given below: Ten coins are distributed among four people P, Q, R, S such that one of them gets one coin, another gets two coins, the third gets three coins and the fourth gets four coins. It is known that Q gets more coins than P, and S gets fewer coins than R.
   Q1.CAT 1999

   If the number of coins distributed to Q is twice the number distributed to P then which one of the following is necessarily true?

   • R gets an even number of coins.

   • R gets an odd number of coins.

   • S gets an even number of coins.

   • S gets an odd number of coins.

2. Q2.CAT 1999

   If R gets at least two more coins than S, then which one of the following is necessarily true?

   • Q gets at least two more coins than S.

   • Q gets more coins than P.

   • P gets more coins than S.

   • P and Q together get at least five coins.

3. Q3.CAT 1999

   If Q gets fewer coins than R, then which one of the following is not necessarily true?

   • P and Q together get at least four coins.

   • Q and S together get at least four coins.

   • R and S together get at least five coins.

   • P and R together get at least five coins.

4. Passage

   Direction for the following three questions: Answer the questions based on the following information. A, B, C and D collected one-rupee coins following the given pattern. Together they collected 100 coins. Each one of them collected even number of coins. Each one of them collected at least 10 coins. No two of them collected the same number of coins.
   Q4.CAT 1998

   The maximum number of coins collected by any one of them cannot exceed

   • 64

   • 36

   • 54

   • None of these

5. Q5.CAT 1998

   If A collected 54 coins, then the difference in the number of coins between the one who collected maximum number of coins and the one who collected the second highest number of coins must be at least

   • 12

   • 24

   • 30

   • None of these

6. Q6.CAT 1998

   If A collected 54 coins and B collected two more coins than twice the number of coins collected by C, then the number of coins collected by B could be

   • 28

   • 20

   • 26

   • 22

7. Passage

   In a game played by two people there were initially N match sticks kept on the table. A move in the game consists of a player removing either one or two matchsticks from the table. The one who takes the last matchstick loses. Players make moves alternately. The player who will make the first move is A. The other player is B.
   Q7.CAT 1990

   The smallest value of N (greater than 5) that ensures a win for B is

   • 7

   • 6

   • 10

   • 8

8. Q8.CAT 1990

   The largest of N (less than 50) that ensures a win for B is

   • 46

   • 47

   • 48

   • 49

CAT LR Coins and Weights previous year questions with solutions — AthenaPrep