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)
