Logical Reasoning previous years questions (CAT)  Set 0004

Previous years`s CAT questions: Logical Reasoning
Post your solutions as reply to respective questions below.

Question 1
While Balbir had his back turned, a dog ran into his butcher shop, snatched a piece of meat off the counter and ran off. 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 didn’t want to help Balbir. So each of them made a statement which contained one truth and one lie.
Shopkeeper #1 said: “The dog had black hair and a long tail.”
Shopkeeper # 2 said: “The dog had a short tail and wore a collar.”
Shopkeeper # 3 said: “The dog had white hair and no collar.”
Based on the above statements, which of the following could be a correct description?
(a) The dog had white hair, short tail and no collar.
(b) The dog had white hair, long tail and a collar.
(c) The dog had black hair, long tail and a collar.
(d) The dog had black hair, long tail and no collar. (CAT 2001)

Question 2
The Bannerjees, the Sharmas and the Pattabhiramans each have a tradition of eating Sunday lunch as a family. Each family serves a special meal at a certain time of day. Each family has a particular set of chinaware used only for this meal. Use the clues below to answer the following question.
 The Sharma family eats at noon.
 The family that serves fried brinjal uses blue chinaware.
 The Bannerjee family eats at 2 o’clock.
 The family that serves sambar does not use red chinaware.
 The family that eats at 1 o’clock serves fried brinjal.
 The Pattabhiraman family does not use white chinaware.
 The family that eats last likes makkikiroti.
Which one of the following statements is true?
(a) The Bannerjees eat makkikiroti at 2 o’ clock, the Sharmas eat fried brinjal at 12 o’ clock and the Pattabhiramans eat sambar from red chinaware.
(b) The Sharmas eat sambar served in white chinaware, the Pattabhiramans eat fried brinjal at 1 o’ clock and the Bannerjees eat makkikiroti in blue chinaware.
(c) The Sharmas eat sambhar at noon. The Pattabhiramans eat fried brinjal served in blue chinaware and the Bannerjees eat makkikiroti served in red chinaware.
(d) The Bannerjees eat makkikiroti served in white chinaware, the Sharmas eat fried brinjal at 12 o’clock and the Pattabhiramans eat sambar from red chinaware.
(CAT 2001)

Question 3
Mrs Ranga has three children and has difficulty remembering their ages and the months of their birth. The clues below may help her remember.
 The boy, who was born in June, is 7 years old.
 One of the children is 4 years old, but is not Anshuman.
 Vaibhav is older than Supriya.
 One of the children was born in September but it was not Vaibhav.
 Supriyaâs birthday is in April.
 The youngest child is only 2 years old.
Based on the above clues, which one of the following statements is true?Â
(a) Vaibhav is the oldest, followed by Anshuman who was born in September, and the youngest is Supriya who was born in April.
(b) Anshuman is the oldest being born in June, followed by Supriya who is 4year old, and the youngest is Vaibhav who is 2 years old.
(c) Vaibhav is the oldest being 7 years old, followed by Supriya who was born in April, and the youngest is Anshuman who was born in September.
(d) Supriya is the oldest, who was born in April, followed by Vaibhav who was born in June, and Anshuman who was born in September.

Question 4
There are five machines A, B, C, D, and E situated on a straight line at distances of 10 metres, 20 metres, 30 metres, 40 metres and 50 meters respectively from the origin of the line. A robot is stationed at the origin of the line. The robot serves the machines with raw material whenever a machine becomes idle. All the raw material is located at the origin. The robot is in an idle state at the origin at the beginning of a day. As soon as one or more machines become idle, they send messages to the robot station and the robot starts and serves all the machines from which it received messages. If a message is received at the station while the robot is away from it, the robot takes notice of the message only when it returns to the station. While moving, it serves the machines in the sequence in which they are encountered, and then returns to the origin. If any messages are pending at the station when it returns, it repeats the process again. Otherwise, it remains idle at the origin till the next message (s) is received.
1) Suppose on a certain day, machines A and D have sent the first two messages to the origin at the beginning of the first second, and C has sent a message at the beginning of the 5^{th} second and B at the beginning of the 6^{th} second, and E at the beginning of the 10^{th} second. How much distance in metres has the robot travelled since the beginning of the day, when it notices the message of E? Assume that the speed of movement of the robot is 10 metres per second.
a. 140
b. 80
c. 340
d. 360
2) Suppose there is a second station with raw material for the robot at the other extreme of the line which is 60 metres from the origin, that. is, 10 meters from E. After finishing the services in a trip, the robot returns to the nearest station. If both stations are equidistant, it chooses the origin as the station to return to. Assuming that both stations receive the messages sent by the machines and that all the other data remains the same, what would be the answer to the above question?
a. 120
b. 140
c. 340
d. 70 (CAT 2000)

Question 5
There are three bottles of water, A, B, C, whose capacities are 5 litres, 3 litres, and 2 litres respectively. For transferring water from one bottle to another and to drain out the bottles, there exists a piping system. The flow through these pipes is computer controlled. The computer that controls the flow through these pipes can be fed with three types of instructions, as explained below:
FILL (X, Y)  Fill bottle labeled X from the water in bottle labeled Y, where the remaining capacity of X is less than or equal to the amount of water in Y.
EMPTY (X, Y)  Empty out the water in bottle labeled X into bottle labeled Y, where the amount of water in X is less than or equal to remaining capacity of Y.
DRAIN (X )  Drain out all the water contained in bottle labeled X.Initially, A is full with water, and B and C are empty.
1) After executing a sequence of three instructions, bottle A contains one litre of water. The first and the third of these instructions are shown below:
First instruction: FILL (C, A)
Third instruction FILL (C, A)
Then which of the following statements about the instruction is true?
a. The second instruction is FILL (B, A)
b. The second instruction is EMPTY (C, B )
c. The second instruction transfers water from B to C
d. The second instruction involves using the water in bottle A.
2) Consider the same sequence of three instructions ‘and the same initial state mentioned above. Three more instructions are added at the end of the above sequence to have A contain 4 litres of water. In this total sequence of six instructions, the fourth one is DRAIN (A). This is the only DRAIN instruction in the entire sequence. At the end of the execution of the above sequence, how much water (in litres) is contained in C?
a. One
b. Two
c. Zero
d. None of these (CAT 2000)