CAT 2017 Question Paper | CAT LR/DI
CAT Question Paper | CAT Previous Year Paper

Directions for questions 47 to 50:

Answer the following question based on the information given below.

Questions 47 to 50 carry 3 marks each.

At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently. The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms. For any dorm, the estimated repair cost (in Rs. Crores) in an integer. Repairs with estimated cost Rs. 1 or 2 Crores are considered light repairs, repairs with estimated cost Rs. 3 or 4 are considered moderate repairs and repairs with estimated cost Rs. 5 of 6 Crores are considered extensive repairs.

Further, the following are known:

1. Odd – numbered dorms do not need light repair; even-numbered dorms do not need moderate repair and dorms, whose numbers are divisible by 3, do not need extensive repair.
2. Dorms 4 to 9 all need different repair costs, with Dorm 7 needing the maximum and Dorm 8 needing the minimum.

[CAT 2017 SLOT II]

Q. 1.

Suppose further that:

1. 4 of the 10 dorms needing repair are women’s dorms and need a total of Rs. 20 Crores for repair.
2. Only one of Dorms 1 to 5 is a women’s dorm.

Which of the following is a women’s dorm?

Directions for questions 47 to 50:

Answer the following question based on the information given below.

Questions 47 to 50 carry 3 marks each.

At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently. The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms. For any dorm, the estimated repair cost (in Rs. Crores) in an integer. Repairs with estimated cost Rs. 1 or 2 Crores are considered light repairs, repairs with estimated cost Rs. 3 or 4 are considered moderate repairs and repairs with estimated cost Rs. 5 of 6 Crores are considered extensive repairs.

Further, the following are known:

1. Odd – numbered dorms do not need light repair; even-numbered dorms do not need moderate repair and dorms, whose numbers are divisible by 3, do not need extensive repair.
2. Dorms 4 to 9 all need different repair costs, with Dorm 7 needing the maximum and Dorm 8 needing the minimum.

[CAT 2017 SLOT II]

Q. 2.

Suppose further that:

1. 4 of the 10 dorms needing repair are women’s dorms and need a total of Rs. 20 Crores for repair.
2. Only one of Dorms 1 to 5 is a women’s dorm.

What is the cost for repairing Dorm 9 (in Rs. Crores)?

Directions for questions 47 to 50:

Answer the following question based on the information given below.

Questions 47 to 50 carry 3 marks each.

At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently. The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms. For any dorm, the estimated repair cost (in Rs. Crores) in an integer. Repairs with estimated cost Rs. 1 or 2 Crores are considered light repairs, repairs with estimated cost Rs. 3 or 4 are considered moderate repairs and repairs with estimated cost Rs. 5 of 6 Crores are considered extensive repairs.

Further, the following are known:

1. Odd – numbered dorms do not need light repair; even-numbered dorms do not need moderate repair and dorms, whose numbers are divisible by 3, do not need extensive repair.
2. Dorms 4 to 9 all need different repair costs, with Dorm 7 needing the maximum and Dorm 8 needing the minimum.

[CAT 2017 SLOT II]

Q. 3.

What is the total cost of repairing the odd-numbered dorms (in Rs. Crores)?

Directions for questions 47 to 50:

Answer the following question based on the information given below.

Questions 47 to 50 carry 3 marks each.

At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently. The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms. For any dorm, the estimated repair cost (in Rs. Crores) in an integer. Repairs with estimated cost Rs. 1 or 2 Crores are considered light repairs, repairs with estimated cost Rs. 3 or 4 are considered moderate repairs and repairs with estimated cost Rs. 5 of 6 Crores are considered extensive repairs.

Further, the following are known:

1. Odd – numbered dorms do not need light repair; even-numbered dorms do not need moderate repair and dorms, whose numbers are divisible by 3, do not need extensive repair.
2. Dorms 4 to 9 all need different repair costs, with Dorm 7 needing the maximum and Dorm 8 needing the minimum.

[CAT 2017 SLOT II]

Q. 4.

Which of the following is NOT necessarily true?

Directions for questions 43 to 46:

Answer the following question based on the information given below.

Questions 43 to 46 carry 3 marks each.

An old woman had the following assets:

(a) Rs. 70 lakh in bank deposits
(b) 1 house worth Rs. 50 lakh
(c). 3 flats, each worth Rs. 30 lakh
(d) Certain number of gold coins, each worth Rs. 1 lakh

She wanted to distribute her assets among her three children; Neeta, Seeta and Geeta.

The house, any of the flats or any of the coins were not to be split. That is, the house went entirely to one child; a flat went to one child and similarly, a gold coin went to one child.

[CAT 2017 SLOT II]

Q. 5.

The value of the assets distributed among Neeta, Seeta and Geeta was in the ratio of 1 : 2 : 3, while the gold coins were distributed among them in the ratio of 2 : 3 : 4. One child got all three flats and she did not get the house. One child, other than Geeta, got Rs. 30 lakh in bank deposits.

How much did Geeta get in bank deposits (in lakhs of rupees)?

Directions for questions 43 to 46:

Answer the following question based on the information given below.

Questions 43 to 46 carry 3 marks each.

An old woman had the following assets:

(a) Rs. 70 lakh in bank deposits
(b) 1 house worth Rs. 50 lakh
(c). 3 flats, each worth Rs. 30 lakh
(d) Certain number of gold coins, each worth Rs. 1 lakh

She wanted to distribute her assets among her three children; Neeta, Seeta and Geeta.

The house, any of the flats or any of the coins were not to be split. That is, the house went entirely to one child; a flat went to one child and similarly, a gold coin went to one child.

[CAT 2017 SLOT II]

Q. 6.

The value of the assets distributed among Neeta, Seeta and Geeta was in the ratio of 1 : 2 : 3, while the gold coins were distributed among them in the ratio of 2 : 3 : 4. One child got all three flats and she did not get the house. One child, other than Geeta, got Rs. 30 lakh in bank deposits.

How many gold coins did the old woman have?

Directions for questions 43 to 46:

Answer the following question based on the information given below.

Questions 43 to 46 carry 3 marks each.

An old woman had the following assets:

(a) Rs. 70 lakh in bank deposits
(b) 1 house worth Rs. 50 lakh
(c). 3 flats, each worth Rs. 30 lakh
(d) Certain number of gold coins, each worth Rs. 1 lakh

She wanted to distribute her assets among her three children; Neeta, Seeta and Geeta.

The house, any of the flats or any of the coins were not to be split. That is, the house went entirely to one child; a flat went to one child and similarly, a gold coin went to one child.

[CAT 2017 SLOT II]

Q. 7.

Among the three, Neeta received the least amount in bank deposits, while Geeta received the highest. The value of the assets was distributed equally among the children, as were the gold coins

How many flats did Neeta receive?

Directions for questions 43 to 46:

Answer the following question based on the information given below.

Questions 43 to 46 carry 3 marks each.

An old woman had the following assets:

(a) Rs. 70 lakh in bank deposits
(b) 1 house worth Rs. 50 lakh
(c). 3 flats, each worth Rs. 30 lakh
(d) Certain number of gold coins, each worth Rs. 1 lakh

She wanted to distribute her assets among her three children; Neeta, Seeta and Geeta.

The house, any of the flats or any of the coins were not to be split. That is, the house went entirely to one child; a flat went to one child and similarly, a gold coin went to one child.

[CAT 2017 SLOT II]

Q. 8.

Among the three, Neeta received the least amount in bank deposits, while Geeta received the highest. The value of the assets was distributed equally among the children, as were the gold coins.

How much did Seeta receive in bank deposits (in lakhs of rupees)?

Directions for questions 39 to 42:

Answer the following question based on the information given below.

There were seven elective courses - E1 to E7 – running in a specific term in a college. Each of the 300 students enrolled had chosen just one elective from among these seven. However, before the start of the term, E7 was withdrawn as the instructor concerned had left the college. The students who had opted for E7 were allowed to join any of the remaining electives. Also, the students who had chosen other electives were given one chance to change their choice. The table below captures the movement of the students from one elective to another during this process. Movement from one elective to the same elective simply means no movement. Some numbers in the table got accidentally erased; however, it is known that these were either 0 or 1.

Further, the following are known:

1. Before the change process there were 6 more students in E1 than in E4, but after the reshuffle, the number of students in E4 was 3 more than that in E1.
2. The number of students in E2 increased by 30 after the change process.
3. Before the change process, E4 and 2 more students than E6, while E2 had 10 more students than E3.

[CAT 2017 SLOT II]

Q. 9.

Later, the college imposed a condition that if after the change of electives, the

enrollment in any elective (other than E7) dropped to less than 20 students, all the

students who had left that course will be required to re-enroll for that elective.

Which of the following is a correct sequence of electives in decreasing order of their

final enrollments?

Directions for questions 39 to 42:

Answer the following question based on the information given below.

There were seven elective courses - E1 to E7 – running in a specific term in a college. Each of the 300 students enrolled had chosen just one elective from among these seven. However, before the start of the term, E7 was withdrawn as the instructor concerned had left the college. The students who had opted for E7 were allowed to join any of the remaining electives. Also, the students who had chosen other electives were given one chance to change their choice. The table below captures the movement of the students from one elective to another during this process. Movement from one elective to the same elective simply means no movement. Some numbers in the table got accidentally erased; however, it is known that these were either 0 or 1.

Further, the following are known:

1. Before the change process there were 6 more students in E1 than in E4, but after the reshuffle, the number of students in E4 was 3 more than that in E1.
2. The number of students in E2 increased by 30 after the change process.
3. Before the change process, E4 and 2 more students than E6, while E2 had 10 more students than E3.

[CAT 2017 SLOT II]

Q. 10.

After the change process, which course among E1 to E6 had the largest change in its enrollment as a percentage of its original enrollment?

Directions for questions 39 to 42:

Answer the following question based on the information given below.

There were seven elective courses - E1 to E7 – running in a specific term in a college. Each of the 300 students enrolled had chosen just one elective from among these seven. However, before the start of the term, E7 was withdrawn as the instructor concerned had left the college. The students who had opted for E7 were allowed to join any of the remaining electives. Also, the students who had chosen other electives were given one chance to change their choice. The table below captures the movement of the students from one elective to another during this process. Movement from one elective to the same elective simply means no movement. Some numbers in the table got accidentally erased; however, it is known that these were either 0 or 1.

Further, the following are known:

1. Before the change process there were 6 more students in E1 than in E4, but after the reshuffle, the number of students in E4 was 3 more than that in E1.
2. The number of students in E2 increased by 30 after the change process.
3. Before the change process, E4 and 2 more students than E6, while E2 had 10 more students than E3.

[CAT 2017 SLOT II]

Q. 11.

After the change process, which of the following is the correct sequence of number of students in the six electives E1 to E6?

Directions for questions 39 to 42:

Answer the following question based on the information given below.

Questions 39 to 42 carry 3 marks each.

There were seven elective courses - E1 to E7 – running in a specific term in a college. Each of the 300 students enrolled had chosen just one elective from among these seven. However, before the start of the term, E7 was withdrawn as the instructor concerned had left the college. The students who had opted for E7 were allowed to join any of the remaining electives. Also, the students who had chosen other electives were given one chance to change their choice. The table below captures the movement of the students from one elective to another during this process. Movement from one elective to the same elective simply means no movement. Some numbers in the table got accidentally erased; however, it is known that these were either 0 or 1.

Further, the following are known:

1. Before the change process there were 6 more students in E1 than in E4, but after the reshuffle, the number of students in E4 was 3 more than that in E1.
2. The number of students in E2 increased by 30 after the change process.
3. Before the change process, E4 and 2 more students than E6, while E2 had 10 more students than E3.

[CAT 2017 SLOT II]

Q. 12.

How many elective courses among E1 to E6 had a decrease in their enrollments after the change process?

Directions for questions 35 to 38:

Five sentences related to a topic are given below. Four of them can be put together to  form a meaningful and coherent short paragraph. Identify the odd one out

Questions 35 to 38 carry 3 marks each

Funky Pizzaria was required to supply pizzas to three different parties. The total  number of pizzas it had to deliver was 800, 70% of which were to be delivered to party  3 and the rest equally divided between Party 1 and Party 2.

Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal  Cheese (NC) or Extra Cheese (EC) versions. Hence, there are four types of pizzas: T NC, T-EC, D-NC and D-EC. Partial information about proportions of T and NC pizzas  ordered by the three parties is given below:

[CAT 2017 SLOT II]Consider the solution to the first question. Let the price of a T-NC pizza and D-NC pizza be  Rs ‘3x’. So, the price of a D-EC pizza will be ‘5x’ and the price of T-EC pizza will be Rs. ‘5x  – 50’

Now 5x – 50 = 500 ⇒ 5x = 550 or x = 110

So the price of T-NC and D-NC pizza will be 3 × 110 or Rs. 330

Further, the price of D-NC pizza will be Rs. 550 and that of T-EC pizza will be Rs. 500 

Q. 13.

Suppose that a T-NC pizza cost as much as a D-NC pizza, but 3/5th of the price of a  D-EC pizza. A D-EC pizza costs Rs. 50 more than a T-EC pizza, and the latter costs  Rs. 500.

If 25% of the Normal Cheese pizzas delivered to Party 1 were of Deep Dish variety,  what was the total bill for Party 1?

Directions for questions 35 to 38:

Five sentences related to a topic are given below. Four of them can be put together to  form a meaningful and coherent short paragraph. Identify the odd one out

Questions 35 to 38 carry 3 marks each

Funky Pizzaria was required to supply pizzas to three different parties. The total  number of pizzas it had to deliver was 800, 70% of which were to be delivered to party  3 and the rest equally divided between Party 1 and Party 2.

Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal  Cheese (NC) or Extra Cheese (EC) versions. Hence, there are four types of pizzas: T NC, T-EC, D-NC and D-EC. Partial information about proportions of T and NC pizzas  ordered by the three parties is given below:

[CAT 2017 SLOT II]

Q. 14.

For Party 2, if 50% of the Normal Cheese pizzas were of Thin Crust variety, what was  the difference between the numbers of T-EC and D-EC pizzas to be delivered to party  2?

Directions for questions 35 to 38:

Five sentences related to a topic are given below. Four of them can be put together to  form a meaningful and coherent short paragraph. Identify the odd one out

Questions 35 to 38 carry 3 marks each

Funky Pizzaria was required to supply pizzas to three different parties. The total  number of pizzas it had to deliver was 800, 70% of which were to be delivered to party  3 and the rest equally divided between Party 1 and Party 2.

Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal  Cheese (NC) or Extra Cheese (EC) versions. Hence, there are four types of pizzas: T NC, T-EC, D-NC and D-EC. Partial information about proportions of T and NC pizzas  ordered by the three parties is given below:

[CAT 2017 SLOT II]

Q. 15.

How many Normal Cheese pizzas were required to be delivered to Party 1?

Directions for questions 35 to 38:

Five sentences related to a topic are given below. Four of them can be put together to  form a meaningful and coherent short paragraph. Identify the odd one out

Questions 35 to 38 carry 3 marks each

Funky Pizzaria was required to supply pizzas to three different parties. The total  number of pizzas it had to deliver was 800, 70% of which were to be delivered to party  3 and the rest equally divided between Party 1 and Party 2.

Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal  Cheese (NC) or Extra Cheese (EC) versions. Hence, there are four types of pizzas: T NC, T-EC, D-NC and D-EC. Partial information about proportions of T and NC pizzas  ordered by the three parties is given below:

[CAT 2017 SLOT II]

Q. 16.

35 How many Thin Crust pizzas were to be delivered to Party 3?