# Free DI and LR -21 Practice Test - CAT

### Question 1

Who among the five people are eliminated after the first round?

#### SOLUTION

Solution :D

Option (d)

Zico and Milla are eliminated in the first round as they each get 50% of the total vote from their continents.

### Question 2

Who is the new President of FIFA?

#### SOLUTION

Solution :C

The person who gets least vote from other continents out of Kim, Blatter and Parker, goes on to be the new president of FIFA. Parker gets 0 votes from his home country, USA; this is the least. Hence, answer is option (c)

### Question 3

What is the total number of votes that Kim gets from members of othercontinents?

#### SOLUTION

Solution :A

Option (a)

Kim, who is from Asia; gets 7+4=11 votes from other continents. Answer is option (a)

### Question 4

What is the percentage of his total vote that winner gets from the members of other continents?

#### SOLUTION

Solution :E

Option (e)

Parker gets 100% of his votes from other continents.

### Question 5

The number of Tajik's who like Pop, R&B and Jazz music are at least

#### SOLUTION

Solution :A

We need to find the minimum of all in a 3 set venn diagram which can be calculated using a shortcut as follows

Take the difference from 100 for each of the groups

Pop= 100-100 =0

R&B=100- 60=40

Jazz= 100-65=35

Sum of all the differences = 75.

Take the difference from 100 again to get the minimum = 100-75= 25%

Answer= 25% of 60000 = 15000. Option (a)

### Question 6

The number of Turkmen's for whom exactly four of the six music forms are in vogue is at least

#### SOLUTION

Solution :E

We need to find the minimum of exactly 4 out of 6. If we consider each of the sets to be represented as straight lines, what the question asks is to minimize the region of 4 lines of overlap. This means that we can make more than 4 lines or less than 4 lines overlap to the maximum possible.

If you notice the representation above, there is no region where 4 lines are overlapping, hence, the minimum region of 4 lines of overlap is 0. Option (e)

### Question 7

The number of Kazakh's from whom at least two of the three music forms R&B, Jazz and country music is preferred are:

#### SOLUTION

Solution :B

option (b)

We need to minimize the region of 2 and 3 areas of overlap, this means we need to maximize the region of only 1.

This can be shown in a conventional 3 set venn diagram as follows

For the area Kazakhstan

R&B= 75

Jazz=85

Country music =90

The value is thus 75% of 10000= 7500. Using the line technique discussed in the previous question, we can determine the answer much faster

### Question 8

At most how many of the people from Kyrgyzstan like exactly five of the six popular music forms?

#### SOLUTION

Solution :D

option (d)

The last question asks us to maximize the region of exactly 5 out of 6. Using a conventional venn diagram, this is near-impossible to solve. Representing the circles as lines (using line technique) we can arrive at the answer with minimum effort

The region of 5 lines of overlap can be maximum= 70%

Hence the answer is 70% of 2600 =1820. Option (d)

### Question 9

A US citizen won a local raffle and decides to purchase three bikes a Honda, Yamaha and a Kwasaki. The cost of foreign travel and stay is not a consideration since it’s included free of cost towards his lottery win. Which country will result in the cheapest purchase, taking cost of poor quality into account?

#### SOLUTION

Solution :C

option (c)

India: 28500+2100=49500 USD

Thailand: 35000+16000=51000 USD

Singapore: 38000+13000 = 51000 USD

Malaysia: 29000+1800 = 47000 USD

Hence the cheapest package including the cost of poor quality is in Malaysiay in the four countries in US dollars:

### Question 10

Approximately, what difference in amount in Bahts will it make to a Thai citizen if she were to get a Ducati from India instead of in her native country, taking into account the cost of poor quality? It costs 7500 Bahts for one-way travel Thailand and India.

#### SOLUTION

Solution :D

option (d)

The total cost of Ducati including poor quality:

India: 3000+ 5*1000 = 8000 USD

Thailand: 4500+6*1000 = 10500 USD

Difference: 10500-8000 = 2500 USD = 82225-15000≈ 67500 Bahts

### Question 11

Taking the cost of poor quality into account, which country/countries will be the most expensive for a Kawasaki?

#### SOLUTION

Solution :A

option (a)

The cost of Kawasaki including poor quality, in four countries in USD

India: 17500 USD

Malaysia: 12000 USD

Thailand: 16000 USD

Singapore: 17000 USD

It is most expensive in India

### Question 12

The rupee value increases to Rs.35 for a US Dollar, and all other things including quality, remain the same. What is the approximate difference in cost, in US Dollars, between Singapore and India for a Royal Enfield, taking change into account?

#### SOLUTION

Solution :B

option (b)

Cost of Royal Enfield in India = (5500*40.928)/35 = 6431.55 = 6432 USD.

Royal Enfield cost in Singapore = 9000 USD. Thus required difference = 9000-6432 = 2568 USD = 2500 USD.

### Question 13

If C and E interchange their positions, who are adjacent to B?

#### SOLUTION

Solution :D

Even if C and E interchange their positions, they are adjacent to B.Option (D)

### Question 14

Who is sitting to the immediate left of A?

#### SOLUTION

Solution :B

H is to the immediate left to A.Option (B)

### Question 15

Who is sitting opposite F?

#### SOLUTION

Solution :A

B is opposite F.Option (A)

### Question 16

Who is to the immediate left of B?

#### SOLUTION

Solution :C

C is to the immediate left of B.Option (C)