# Free DI and LR - 17 Practice Test - CAT

### Question 1

At which beach is the smuggling scheduled to take place?

#### SOLUTION

Solution :B

(b)

### Question 2

Who amongst the following is loyal to his/her boss?

#### SOLUTION

Solution :A

Sambha

### Question 3

Which number did Basanti make call from?

#### SOLUTION

Solution :B

b)

### Question 4

What is the difference between the boat’s number and the lorry’s number?

#### SOLUTION

Solution :C

(c) Boat number = 36, Lorry number = 197, Therefore, difference = 161

### Question 5

How many cars did Meru purchase in 1999?

#### SOLUTION

Solution :B

Option (b)

In 1999, total number of cars by Meru = 124

Number of cars disposed by Meru = 20% of 30 = 6

Number of cars Meru had in 1998 = 80

Number of cars bought = 124 + 6 – 80 = 50

### Question 6

How many cars were disposed off by Meru by the end of 2000?

#### SOLUTION

Solution :C

Option (c)

Number of Meru cars disposed in 1999 =6

Number of Meru cars disposed in 2000 =10

Total disposed by end of 2000 = 16

### Question 7

How many City Cab cars were disposed off in 2000?

#### SOLUTION

Solution :D

Option (d)

Initial number of City Cab cars not available, hence cannot be determined.

### Question 8

How many City Cab cars were purchased in 1999?

#### SOLUTION

Solution :D

Option (d)

Initial number of City Cab cars not available, hence cannot be determined.

### Question 9

What is the lowest price, in rupees, a passenger has to pay for travelling by the shortest route from Chennai to Manipal?

#### SOLUTION

Solution :D

The shortest route from Chennai to Manipal is Chennai – Cannore – Hosur – Manipal. Hence option (d).

### Question 10

The company plans to introduce a direct bus service between Chennai to Manipal. The market research results indicate that all the existing passengers travelling between Chennai and Manipal will use this direct bus if it is priced 5% below the minimum price they pay at present. What should the company charge approximately, in rupees, for this direct bus service?

#### SOLUTION

Solution :B

The lowest price is Rs. 2275. The company should charge 0.95 * 2275 = Rs. 2161. Hence option (b)

### Question 11

If the bus stands of Cannore, Madurai and Katpadi are closed down, what would be the minimum price in rupees paid by a passenger travelling from Chennai to Manipal?

#### SOLUTION

Solution :C

The minimum price paid by passenger will be along the route Chennai – Hosur – Manipal. i.e. Rs. 2850. Hence option (c).

### Question 12

If the ticket fares include a margin of 10% over the total cost that the company incurs, what is the minimum cost per kilometre that the company incurs in flying from Chennai to Manipal?

#### SOLUTION

Solution :B

The minimum cost incurred by company = 2275/1.1 = 2068. So minimum cost per kilometre = 2068/ 2350 = Rs. 0.88/km.

### Question 13

If the ticket prices include a margin of 15% over the total cost that the company incurs, which among the following is the distance to be covered in flying from Chennai to Manipal that minimises the total cost per kilometre for the company?

#### SOLUTION

Solution :D

cost incurred per kilometre is:

a) 2930/(1.15 * 2170) = 1.35/1.15

b) 3340/(1.15 * 2180) = 1.53/1.15

c) 2850/(1.15 * 2315) = 1.23/1.15

d) 2275/(1.15 * 2350) = 0.96/1.15

Hence option (d)