Logical Reasoning previous years questions (CAT)  Set 0018

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

Question 1
The following questions relate to a game to be played by you and your friend. The game consists of a 4 x 4 board (see below) where each cell contains a positive integer. You and your friend make moves alternately. A move by any of the players consists of splitting the current board configuration into two equal halves and retaining one of them. In your moves you are allowed to split the board only vertically and to decide to retain either the left or the right half. Your friend, in his/her moves, can split the board only horizontally and can retain either the lower or the upper half. After two moves by each player a single cell will remain which can no longer be split and the number in that cell will be treated as the gain (in rupees) of the person who has started the game. A sample game is shown below.
So your gain is Re.1. With the same initial board configuration as above and assuming that you have to make the first move, answer the following questions.
1. If you choose (retain right) (retain left) in your turns, the best move sequence for your friend to reduce your gain to a minimum will be
(a) (retain upper) (retain lower)
(b) (retain lower) (retain upper)
(c) (retain upper) (retain upper)
(d) (retain lower) (retain lower)2. If both of you select your moves intelligently then at the end of the game your gain will be
(a) Rs.4
(b) Rs.3
(c) Rs.2
(d) None of these3. If your first move is (retain right), then whatever moves your friend may select you can always force a gain of no less than
(a) Rs.3
(b) Rs.6
(c) Rs.4
(d) None of these ( CAT 1990 )

Answer: Option C Option B Option A

Question 2
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?
(a) Saira
(b) Mumtaz
(c) Zeenat
(d) Cannot be determined ( CAT 1990 )

Answer: Option B

Question 3
Albert, David, Jerome and Tommy were plucking mangoes in a grove to earn some pocket money during the summer holidays. Their earnings were directly related to the number of mangoes plucked and had the following relationship:
Jerome got less money than Tommy. Jerome and Tommy together got the same amount at Albert and David taken together. Albert and Tommy together got less than David and Jerome taken together.
Who earned the most pocket money? Who plucked the least number of mangoes?
(a) David, Jerome
(b) David, Albert
(c) Jerome, Tommy
(d) Jerome, Albert ( CAT 1990 )

Answer: Option B

Question 4
I happened to be the judge in the all India Essay Competition on Nylon Dying, organized some time back by a dyestuff firm. Mill technicians were eligible to enter the competition. My work was simplified in assessing the essays, which had to be done under five headsLanguage, Coherence, Subject Matter, Machinery and Recent Developments.
Marks were to be given out of a maximum of 20 under each head. There were only five entries. The winner got 90 marks. Akhila got 13 in Coherence and Divya 10 in Machinery. Bhanu’s total was less than Akhila’s. Charulata has sent an entry. Ela had got as many marks as Divya. None got 20 under any head.
Who was the winner?
(a) Divya
(b) Charulata
(c) Ela
(d) Bhanu ( CAT 1990 )

Answer: Option B

Question 5
Mr.X enters a positive integer Y in an electronic calculator and then goes on pressing the square – root key repeatedly. Then
(a) The display does not stabilize
(b) The display becomes closer to 0
(c) The display becomes closer to 1
(d) May not be true and the answer depends on the choice of Y ( CAT 1990 )

Answer: Option C