LR - Selection & Distribution - Previous Year CAT/MBA Questions
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Which combination is true for Dinesh?
- (a)
India-Electrica
- (b)
UAE-Electronics
- (c)
England-Metallurgy
- (d)
England-Metallurgy
Answer: Option D
Text Explanation :
Using all the statements, we can fill the following data directly,
From 5,
Chemical Engineer is offered job in India.
So, Brad is offered job in India
Hence, Carla is offered job at Germany.
From 4 and 6,
Evan is from Mechanical branch,
So, Frank is from IT branch;
Hence, Anthony is from Electrical branch and Carla is from Electronics branch.
So the final arrangement is,
From the table we get,
Dinesh - UAE – Electronics is the correct combination.
Hence, option (d).
Workspace:
Read the details below and answer the questions that follow.
Due to astrological reasons, a mother named all her daughters with the alphabet ‘K’ as Kamla, Kamlesh, Kriti, Kripa, Kranti and Kalpana.
i. Kamla is not the tallest while Kripa is not the most qualified.
ii. The shortest is the most qualified amongst them all.
iii. Kalpana is more qualified than Kamlesh who is more qualified than Kriti.
iv. Kamla is less qualified than Kamlesh but is taller than Kamlesh.
v. Kalpana is shorter than Kriti but taller than Kranti.
vi. Kriti is more qualified than Kamla while Kamlesh is taller than Kriti.
vii. Kripa is the least qualified amongst the daughters.
Who is the third tallest starting in decreasing order of height?
- (a)
Kamla
- (b)
Kamlesh
- (c)
Kriti
- (d)
Kranti
Answer: Option B
Text Explanation :
Let us rank their heights and their qualification on a scale from 1 to 6.
Rank 1 is the tallest and the most qualified and Rank 6 is the shortest and the least qualified.
Kamla is not the tallest. So Kamla's height can be any rank from 2 to 5.
Kripa is the least qualified amongst the daughters. So KripaQ = 6 (sub-script Q and H denote rank for qualification and height respectively).
From st iv, v and vi, we conclude that
KamlaH > KamleshH > KritiH > KalpanaH > KrantiH
But Kamla is not be the tallest. Therefore Kripa is the tallest and Kamla is the 2nd tallest and the order follows as shown above.
From St ii, KrantiQ = 1.
From St iii and from st vi, we conclude that
KalpanaQ > KamleshQ >KritiQ >KamlaQ
Therefore on the basis of the qualification,
Kalpana's rank is 2, Kamlesh's rank is 3, Kriti's rank is 4 and Kamla's rank is 5.
The following table can be regarding their height and qualification:
Decreasing order of height are the ranks starting from 1 upto 6.
Third tallest amongst all is Kamlesh
Hence, option (b).
Workspace:
Who is the most qualified?
- (a)
Kamlesh
- (b)
Kriti
- (c)
Kripa
- (d)
Kranti
Answer: Option D
Text Explanation :
Most qualified is the person with rank 1.
The person with rank 1 is Kranti.
Hence, option (d).
Workspace:
What is the rank of Kriti in increasing order of qualification?
- (a)
2
- (b)
3
- (c)
5
- (d)
4
Answer: Option B
Text Explanation :
The ranks in the increasing order of qualification are from 6 to 1.
Kriti's rank in decreasing order of qualification is 4.
Therefore Kriti's rank in the increasing order of qualification is 3.
Hence, option (b).
Workspace:
What is the rank of Kamla in increasing order of height?
- (a)
3
- (b)
5
- (c)
4
- (d)
2
Answer: Option B
Text Explanation :
The ranks in the increasing order of height are from 6 to 1.
Kamla's rank in decreasing order of height is 2.
Therefore Kamla's rank in increasing order of height is 5.
Hence, option (b).
Workspace:
Based on the conditions stated in the passage below, answer the questions that follow.
There are three countries, USA, UAE and UK. An exporter can select one country or two countries or all the three countries subject to the conditions below:
Condition 1: Both USA and UAE have to be selected.
Condition 2: Either USA or UK, but not both have to be selected.
Condition 3: UAE can be selected only if UK has been selected.
Condition 4: USA can be selected only if UK is selected.
How many countries can be selected if no condition is imposed?
- (a)
6
- (b)
4
- (c)
7
- (d)
8
Answer: Option C
Text Explanation :
If no condition is imposed then we can select countries in 23 – 1 = 7 ways.
So, we have total 7 combinations.
Hence, option (c).
Note:- This question is ambiguous, as it is asking number of countries. In that case, we can select only 3 countries. But we don't have options. So here we are assuming number different combinations are asked.
Workspace:
How many countries can be selected to meet only condition 1?
- (a)
0
- (b)
2
- (c)
1
- (d)
3
Answer: Option B
Text Explanation :
If only condition 1 is imposed then we can select,
USA-UAE and USA-UAE-UK.
So, we have two combination.
Hence, option (b).
Note: This question is ambiguous, as it is asking number of countries. In that case, we can select 2 or 3 countries. But we don't have options. So here we are assuming number of different combinations are asked.
Workspace:
How many countries can be selected to meet only conditions 2 and 3?
- (a)
0
- (b)
2 or 1
- (c)
0 or 1
- (d)
None of these
Answer: Option B
Text Explanation :
If only condition 2 and 3 are imposed then we can select,
UK-UAE, USA, USA-UAE.
So, we can select 1 or 2 countries considering all possible combinations.
Hence, option (b).
Workspace:
Read the following case – let and answer the questions that follow.
Ms. Banerjee, class teacher for 12th standard, wants to send teams (based on past performance) of three students each to district, state, national, and international competition in mathematics. Till now, every student of the class has appeared in 100 school level tests. The students had following distribution of marks in the tests, in terms of “average” and “number of times a student scored cent per cent marks”.
Ms. Banerjee has carefully studied chances of her school winning each of the competitions. Based on in-depth calculations, she realized that her school is quite likely to win district level competition but has low chances of winning the international competition. She listed down the following probabilities of wins for different competitions. Prize was highest for international competition and lowest for district level competition (in that order).
All the students are studying in the school for last twelve years. She wanted to select the best team for all four competitions (Ms. Banerjee had no other information to select students).
Which of three members should form the team for the International competition?
- (a)
4, 11, 14
- (b)
2, 8, 14
- (c)
1, 6, 12
- (d)
13, 14, 15
- (e)
1, 3, 4
Answer: Option B
Text Explanation :
The probability of winning in the international competition is very less (5%). So the students selected for it should have a greater chance of scoring cent percent.
Option (1) is eliminated because 4 & 11 score cent percent just once.
In option (2), the combined number of times cent percent is scored is 15 + 12 + 20 = 47
In option (3), the combined number of times cent percent is scored is 7 + 10 + 6 = 23
In option (4), 2 of the members score cent percent less number of times. Combined cent percent is 2 + 20 + 5 = 27
In option (5), the combined number of times cent percent is scored is 7 + 8 + 1 = 16
Hence, option (b).
Workspace:
Which of the following members should constitute the team for the district level competition?
- (a)
4, 11, 14
- (b)
1, 4, 11
- (c)
4, 5, 6
- (d)
4, 11, 13
- (e)
Any team can win the competition
Answer: Option D
Text Explanation :
The probability of winning in the district level competition is high (95%).
So Ms. Banerjee needs to select students who have high averages.
The number of times the students score cent percent is not important.
Students 4 & 11 have high an average of 70 and they score cent percent just once.
So option (1) is eliminated as it has student 14 who has scored cent percent 20 times.
Similarly, option (3) is also eliminated. In options (2) and (4), we select option (4) as the correct option because both students 1 & 13 have the same average but student 13 scores cent percent just twice.
Hence, option (d).
Workspace:
Ms. Banerjee has to select the team for national competition after she has selected the team for international competition. A student selected for international competition cannot be a part of national competition. Which is the best team for the national competition?
- (a)
1, 7, 4
- (b)
8, 9, 10
- (c)
2, 8, 14
- (d)
3, 6, 1
- (e)
Any of remaining students, as it would not matter
Answer: Option D
Text Explanation :
A student selected for international competition cannot be selected for national competition. So, students 2, 8 and 14 cannot be a part of national team. The probability of winning in the national competition is 10%. So, here the stress should be on the number of times cent percent is scored.
Also, the students with higher averages are preferred.
Option (1) has students having high averages but lesser cent percent scores.
Option (2) has students having lower average scores like 60.
Option (3) has all the students having an average score of 60.
Option (4) has students having higher averages of 65 and 70. Also, their combined cent percent scores is very high, 8 + 10 + 7 = 25.
Hence, option (d).
Workspace:
Lionel and Ronaldo had a discussion on the ages of Jose’s sons. Ronaldo made following statements about Jose’s sons:
- Jose has three sons.
- The sum of the ages of Jose’s sons is 13.
- The product of the ages of the sons is the same as the age of Lionel.
- Jose’s eldest son, Zizou weighs 32 kilos.
- The sum of the ages of the younger sons of Jose is 4.
- Jose has fathered a twin.
- Jose is not the father of a triplet.
- The LCM of the ages of Jose’s sons is more than the sum of their ages.
Which of the following combination gives information sufficient to determine the ages of Jose’s sons?
- (a)
i, ii, iii and iv
- (b)
i, ii, iv and vi
- (c)
i, ii, iii and v
- (d)
i, ii, v and vii
- (e)
i, ii, v and vi
Answer: Option E
Text Explanation :
Consider each option separately,
Consider option A:
In this case, we don’t know the Lionel’s age.
Hence, the only conclusion can be derived is;
Jose has 3 sons and sum of their age is 13.
Consider option B:
In this case also, we only know that Jose has 3 sons and sum of their ages is 13 and two of them are twin.
But it still doesn’t provide adequate information to calculate age of each son.
Consider option C:
As, age of Lionel is not known, we only know that the sum of ages of Jose’s three son is 13 out of which sum of the age of the younger two brother is 4.
By this we can calculate age of the Jose’s eldest son, but we cannot age of the remaining two children.
Consider option D:
In this case, statement 7 is redundant, as by statement 2 only we can guess that Jose is not the father of a triplet.
Hence this statement doesn’t provide adequate information to guess the ages of all the three children.
Consider option E:
By, i, ii and iii, we can conclude that the age of the Jose’s eldest son is 9 and sum of the other two children is 4.
Now, by statement vi, Jose has fathered twins, we can easily conclude that the younger two children are twins.
Hence, their ages are 2 and 2 respectively.
Hence, E is sufficient to answer.
Hence, option (e).
Workspace:
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