Caselets Test

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Caselets Test - 1

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Question 1
3 / -1

Inst.
In a recently held survey there were 7500 persons in a local area. Out of those, 2500 opted only for Company A’s liquor, 1850 opted only for Company B’s liquor and 950 opted only for company C’s liquor. The number of persons opting for all the companies is 1000. The number of persons opting only for Company A and C is 250. The number of people opting only for Company B and C is 200 and the number of those opting only for Company A and B is 150.
Q.
How many persons opted for at least two companies liquor?

A
1800

B
1000

C
1600

D
1850

E
None of these

Solution

Number of persons opted for at least two companies liquor = 1000 + 250 + 200 + 150 = 1600
Question 2
3 / -1

In a recently held survey there were 7500 persons in a local area. Out of those, 2500 opted only for Company A’s liquor, 1850 opted only for Company B’s liquor and 950 opted only for company C’s liquor. The number of persons opting for all the companies is 1000. The number of persons opting only for Company A and C is 250. The number of people opting only for Company B and C is 200 and the number of those opting only for Company A and B is 150.
Find the number of persons who opted for Company A’s liquor.

A
3900

B
3500

C
2500

D
1450

E
None of these

Solution

Number of persons who opted for Company A’s liquor = 2500 + 150 + 1000 + 250 = 3900
Question 3
3 / -1

In a recently held survey there were 7500 persons in a local area. Out of those, 2500 opted only for Company A’s liquor, 1850 opted only for Company B’s liquor and 950 opted only for company C’s liquor. The number of persons opting for all the companies is 1000. The number of persons opting only for Company A and C is 250. The number of people opting only for Company B and C is 200 and the number of those opting only for Company A and B is 150.
How many persons opted for only one company’s liquor?

A
4725

B
5000

C
5300

D
5500

E
None of hese

Solution

Number of persons opted for only one company’s liquor = 2500 + 1850 + 950
= 5300
Question 4
3 / -1

In a recently held survey there were 7500 persons in a local area. Out of those, 2500 opted only for Company A’s liquor, 1850 opted only for Company B’s liquor and 950 opted only for company C’s liquor. The number of persons opting for all the companies is 1000. The number of persons opting only for Company A and C is 250. The number of people opting only for Company B and C is 200 and the number of those opting only for Company A and B is 150.
How many persons did not participate in the survey?

A
600

B
800

C
900

D
1000

E
None of hese

Solution

Number of person who did not participate in the survey = 7500 - ( 2500 + 150 + 1000 + 1850 + 200 + 250 + 950)
= 600
Question 5
3 / -1

In a recently held survey there were 7500 persons in a local area. Out of those, 2500 opted only for Company A’s liquor, 1850 opted only for Company B’s liquor and 950 opted only for company C’s liquor. The number of persons opting for all the companies is 1000. The number of persons opting only for Company A and C is 250. The number of people opting only for Company B and C is 200 and the number of those opting only for Company A and B is 150.
Q. The number of persons opting only for Company A’s liquor is what percent of the total number of persons opting for only Company B’s and only Company C’s liquor?

A
92%

B
85%

C
89.28%

D
84.14%

E
None of hese

Solution
Question 6
3 / -1

1~ Directions : Study the following information carefully and answer the questions given beside.
At 10 am Amit left for work 90 km from his house, travelling at 45 km/hr. He reaches there at [A] pm. He can do a piece of work alone in 6 hours and Sumit can do the same work alone in 8 hours. They together finish the work in [B] hours. After finishing the work, while returning home if Amit increases his speed by 5 km/hr, then he reaches his house in [C] hours.
Q. In how much time Amit and Sumit together can finish the work?

A

B

C
4 hours

D

E
None of these

Solution

Amit alone can do the work in 6 hours.
Sumit alone can do the work in 8 hours.
Together they can do the work in
Question 7
3 / -1

Inst.
16 teams participated in Eurofootball tournament. These are divided into two groups A and B with each group having 8 teams. At the first stage, each team played against all other teams of its group once and top four teams from each group qualified for the quarterfinals. At the second stage, the team having first rank in group A will play with the team having first rank in the group B. Similarly, the team having second rank in group A will play with the team having second rank in group B and so on. After the first stage, every match is a knock-out match (means the team losing any match after the first stage will be out of the tournament.)
In the third stage the winner of the quarterfinals will play the semifinal and in the fourth stage the winner of the semifinal will play the finals. If two or more teams end up with the same score the team with higher number of goals is placed higher in the point table. Two points are given for a win, no point is given for a loss and no match ends in a tie.
Q.
The maximum number of matches a team can play that does not qualify for the quarterfinals can be

A
6

B
10

C
8

D
12

E
Other than those given as options
Question 8
3 / -1

Inst.

16 teams participated in Eurofootball tournament. These are divided into two groups A and B with each group having 8 teams. At the first stage, each team played against all other teams of its group once and top four teams from each group qualified for the quarterfinals. At the second stage, the team having first rank in group A will play with the team having first rank in the group B. Similarly, the team having second rank in group A will play with the team having second rank in group B and so on. After the first stage, every match is a knock-out match (means the team losing any match after the first stage will be out of the tournament.)

In the third stage the winner of the quarterfinals will play the semifinal and in the fourth stage the winner of the semifinal will play the finals. If two or more teams end up with the same score the team with higher number of goals is placed higher in the point table. Two points are given for a win, no point is given for a loss and no match ends in a tie.

Q. What is the minimum number of matches required to be won by a team to qualify for the finals?

A
6

B
8

C
3

D
4

E
2
Solution
Minimum number of matches won by a team in the first stage to qualify for quarterfinals = 2. Since after qualifying for the Quarterfinals a team has to win quarterfinal and semifinal to qualify for the finals.

∴ Minimum number of matches won by a team to qualify for finals

=2+1

(quarterfinal) + 1 semifinal = 4
Question 9
3 / -1

At 10 am Amit left for work 90 km from his house, travelling at 45 km/hr. He reaches there at [A] pm. He can do a piece of work alone in 6 hours and Sumit can do the same work alone in 8 hours. They together finish the work in [B] hours. After finishing the work, while returning home if Amit increases his speed by 5 km/hr, then he reaches his house in [C] hours.
Q. At what time Amit reaches his workplace?

A
12:30 pm

B
1 pm

C
2 pm

D
12 pm

E
2:30 pm

Solution

Speed = 45 km/hr, Distance = 90 km
Time taken = 90/45 = 2 hours
Amit reaches his work place at 12 pm.
Question 10
3 / -1

Inst.
16 teams participated in Eurofootball tournament. These are divided into two groups A and B with each group having 8 teams. At the first stage, each team played against all other teams of its group once and top four teams from each group qualified for the quarterfinals. At the second stage, the team having first rank in group A will play with the team having first rank in the group B. Similarly, the team having second rank in group A will play with the team having second rank in group B and so on. After the first stage, every match is a knock-out match (means the team losing any match after the first stage will be out of the tournament.)
In the third stage the winner of the quarterfinals will play the semifinal and in the fourth stage the winner of the semifinal will play the finals. If two or more teams end up with the same score the team with higher number of goals is placed higher in the point table. Two points are given for a win, no point is given for a loss and no match ends in a tie.
Q.
What is the total number of points scored by all the teams in the tournament?

A
130

B
126

C
144

D
138

E
122

Solution

In first stage, teams are divided into two groups of 8 teams each.
They play a match against everyone exactly one i.e. 8C2 matches in every group.
So,
2 x >8C2 = 56 matches for the first stage.
8C2 = 8! / (2!)(6!) = 4 x 7 = 28
In second stage, there are 8 teams in a “knockout stage”.
There will be one winner, so 8 – 1 = 7
So, total number of matches is 56 + 7 = 63
1 win = 2 points
⇒ 63 * 2
⇒ 126