Logical Reasoning previous years questions (CAT)  Set 0016

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

Question 1
Swetha, Swarna, Sneha and Soumya are four sisters who have an agreement that they share all snacks equally among themselves. One day, uncle Prem gave a box of cookies to Swetha. Since the other sisters were not around, Swetha divided the cookies into four parts, ate her share and put the rest into the box. As she was closing the box, Swarna came in, She took all the cookies from the box and divided them into four equal parts. Swetha and Swarna ate one part each and put the rest into the box. Just then Sneha walked in. She took all the cookies from the box, divided them into four equal parts. The three of them ate their respective shares and put the rest into the box. Later, when Soumya came, she divided all the cookies into four equal parts and all the four sisters ate their respective shares. In total, Soumya ate 3 cookies.
1. How many cookies, in total, did Sneha eat?
(a) 30
(b) 12
(c) 15
(d) 62. How many cookies did uncle Prem give to Swetha?
(a) 128
(b) 156
(c) 256
(d) 1923. How many cookies, in total, did Swetha eat?
(a) 32.
(b) 142
(c) 72
(d) 714. How many cookies, in total, did Swarna eat?
(a) 9
(b) 30
(c) 39
(d) 78 (CAT 1993)

Answer: Option C Option A Option D Option C

Question 2
A professor keeps data on students tabulated by performance and sex of the student . The data is kept on a computer disk, but unfortunately some of it is lost because of a virus. Only the following could be recovered :
Panic buttons were pressed but to no avail. An expert committee was formed, which decided that the following facts were self evident:
Half the students were either excellent or good.
40% of the students were females.
One third of the male students were average.1. How many students were both female and excellent?
(a) 0
(b) 8
(c) 16
(d) 322. How many students are both male and good?
(a) 10
(b) 16
(c) 22
(d) 483. Among average students, what is the ratio of male to female?
(a) 1 : 2
(b) 2 : 1
(c) 3 : 2
(d) 2 : 34. What proportion of female students are good?
(a) 0
(b) 0.25
(c) 0.5
(d) 1.05. What proportion of good students are male?
(a) 0
(b) 0.73
(c) 0.4
(d) 1.0 (CAT 1993)

Answer: Option A Option C Option D Option B Option B

Question 3
Kya –Kya is an obscure island which is inhabited by two types of people: the ‘Yes’ type and the ‘No’ type. Native of type ‘Yes’ ask only questions the right answer to which is ‘Yes’ while those of type ‘No’ ask only questions the right answer to which is ‘No’. For example. The ‘Yes’ type will ask questions like “Is 2 plus 2 equal to 4?” while the ‘No’ type will ask questions like “Is 2 plus 2 equal to five?” The following questions are based on your visit to the island of Kya – Kya.
If an islander asks, “Do I belong to the ‘No’ type”, which of the following is correct?
(a) He is a ‘No’.
(b) He is a ‘Yes’.
(c) It is impossible for him to have asked such a question.
(d) His type cannot be identified. (CAT 1992)

Answer: Option C

Question 4
Kya –Kya is an obscure island which is inhabited by two types of people: the ‘Yes’ type and the ‘No’ type. Native of type ‘Yes’ ask only questions the right answer to which is ‘Yes’ while those of type ‘No’ ask only questions the right answer to which is ‘No’. For example. The ‘Yes’ type will ask questions like “Is 2 plus 2 equal to 4?” while the ‘No’ type will ask questions like “Is 2 plus 2 equal to five?” The following questions are based on your visit to the island of Kya – Kya.
Ram and Laxman are brothers from the Island. Laxman asks you, “Is at least one of us brothers of type ‘No”? You can conclude that
(a) Ram is ‘NO’, Laxman is ‘Yes ‘.
(b) both are ‘Yes’.
(c) Ram is ‘Yes’, Laxman is ‘No’.
(d) both are ‘No’. (CAT 1992)

Answer: Option A

Question 5
Kya –Kya is an obscure island which is inhabited by two types of people: the ‘Yes’ type and the ‘No’ type. Native of type ‘Yes’ ask only questions the right answer to which is ‘Yes’ while those of type ‘No’ ask only questions the right answer to which is ‘No’. For example. The ‘Yes’ type will ask questions like “Is 2 plus 2 equal to 4?” while the ‘No’ type will ask questions like “Is 2 plus 2 equal to five?” The following questions are based on your visit to the island of Kya – Kya.
You are approached by one of the islanders and asked, “Am I of type ‘Yes”? You can infer that
(a) he was a ‘No’.
(b) he was a ‘Yes’.
(c) such a situation is not possible.
(d) no conclusion is possible. (CAT 1992)

Answer: Option D