Arrangement Questions for Cat 8
- Jul 11
- 6 min read
Practicse Question
Arrangement Questions for CAT Case 1
Direction for question 1-4: Refer to the data below and answer the questions that follow:
Five Singers performed shows in Abu Dhabi, Dubai and Sharjah. Each singer performed at least one show in each city. Maximum shows performed by any singer in any city is 5. No two singers performed the same number of shows in any city.
Number of shows performed by Diljeet in Sharjah was 3, which was also equal to the number of shows performed by Arijit in Dubai.
The numbers of shows performed in Dubai, Abu Dhabi and Sharjah by Arijit were in Arithmetic Progression (in that order) and the number of shows performed in Dubai, Abu Dhabi and Sharjah by Diljeet were also in Arithmetic Progression (in that order).
The total numbers of shows performed by exactly two singers were equal.
Lucky performed one show in Dubai and Mohit performed one show in Abu Dhabi.
No singer performed the same number of shows in any two cities.
Diljeet's number of shows in Sharjah was equal to the average of the sum of the number of shows of Lucky and Mohit in Sharjah.
The total number of shows performed by Sonu was not 10.
Arithmetic Progression for both Diljeet and Arijit was in decreasing order.ff
Q.1 Find the total number of shows performed by Arijit in Abu Dhabi, Dubai and Sharjah.
a.6
b.4
c.8
d.Cannot be determined
Q.2 Who among the following performed two shows in Sharjah?
a.Mohit
b.Lucky
c.Sonu
d.Cannot be determined
Q.3 Find the number of shows performed by Mohit in Dubai.
Q.4 Find the sum of the number of shows performed by Sonu and Diljeet in Abu Dhabi, Dubai and Sharjah.
Arrangement Questions for CAT Case 2
Refer to the data below and answer the questions that follow.Aghar, Bitan, Chiranjibi, Dibakar, and Eesha are the permanent boarders of a school hostel where each one of them occupies exactly one distinct room among room numbers 101, 102, 103, 104, and 105. These five rooms are serially located on one side of the common corridor on the first floor from left to right in that order. The floor has only these five rooms and nothing else. The new hostel warden asked them about their room occupancy and they replied in the following manner:Aghar: I stay in exactly one room among room numbers 101 and 104.Bitan: I don’t stay in any of the rooms bearing room number 101, 102, or 103.Chiranjibi: I stay in exactly one room among room numbers 101 and 102.Dibakar: I don’t stay in any of the rooms bearing room number 102, 103, or 104.Eesha: I stay in exactly one room among room number 103 and 104.The new hostel warden was an expert logician and he could easily decipher their messages.
For how many students the room numbers that they occupy can be uniquely identified?
Q.5 Which of the following pair of students may stay in adjacent rooms?
a.Eesha and Aghar
b.Bitan and Chiranjibi
c.Dibakar and Eesha
d.Aghar and Dibakar
Q.6 How many rooms are there between the rooms occupied by Dibakar and Bitan if Bitan stays in the room located at the extreme right corner?
a.0
b.1
c.2
d.3
Q.7 Only Bitan changes his statement and says that – “I don’t stay in any of the rooms bearing room number 103, 104, or 105.”Which of the following pairs of students cannot stay in adjacent rooms?
a.Chiranjibi and Aghar
b.Aghar and Dibakar
c.Chiranjibi and Eesha
d.Bitan and Eesha
Q.8 Only Bitan changes his statement and says that – “I don’t stay in any of the rooms bearing room number 103, 104, or 105.”For how many students the room numbers that they occupy can be uniquely identified?
a.1
b.2
c.3
d.5
Arrangement Questions for CAT Case 3
Current President of the US is meeting five former Presidents to consult them on US foreign policy. The five former presidents are Bush, Carter, Clinton, Obama, and Trump. Post retirement, the five former presidents have settled in exactly one of the following five cities, namely Atlanta, Boston, Chicago, Miami and New York, not necessarily in the same order. Each of the five presidents is an expert in the US relations with exactly one of the following five countries- Australia, China, Germany, India and Japan, not necessarily in the same order. The following information is known:1. The former president, who is an expert on Japan, has not settled in New York post his retirement.2. Trump and Obama are not experts on Germany or Japan.3. Clinton is not an expert on Australia or India.4. Bush and Carter have not settled in Chicago or Miami post their retirement. Neither of them is an expert on China or India.5. Obama is not an expert on India6. The former president who is an expert on Australia has not settled in Miami post his retirement.7. The former president who has settled in Chicago post his retirement is not an expert on Germany or Japan.8. Trump and Obama have not settled in New York or Chicago post their retirement.9. Carter is not an expert on Japan.
The cities settled in post retirement as well as the country of expertise can be uniquely determined for how many of the five former presidents?
Statement A: Clinton has settled in Chicago post his retirement.Statement B: Clinton is an expert on China.Q.9 What can be said about these two statements?
a.Only statement A is correct but statement B is incorrect
b.Only statement B is correct but statement A is incorrect
c.Both statements are correct
d.Statement A may or may not be correct but statement B is correct
Q.10 Who has settled in New York post his retirement?
a.Carter
b.Trump
c.The former president who is an expert on Japan
d.The former president who is an expert on India
Q.11 If Obama has settled in Atlanta post his retirement, which city has Bush settled in post his retirement?
a.Chicago
d.Obama cannot settle in Atlanta post his retirement so this question is inconsistent
Q.12 Which of the following combinations is definitely correct?
a.Carter-Chicago-Germany
b.Trump-Miami-India
c.Clinton-Boston-China
d.More than one of the above
Arrangement Questions for CAT Case 4
15 students are standing in a row for a group photo. The students have been classified into three different categories based on their heights - 'Tall', 'Medium', and 'Short'. At least 3 students are there of each category. The number of students of three different categories are distinct.1. Among the first 5 students from left to right, only one of them is 'Short'.2. Among the first 10 students from left to right, maximum students are of 'Medium' height, followed by 'Short' and least number (non-zero) of students are 'Tall'.3. The students in 10th and the 11th position from left to right were the only two consecutive positions where students belong to the same category.4. Maximum number of students are not of 'Medium' height.5. There is only one pair of tall students such that the two students in the pair are separated by exactly 5 students of the other two different categories.
Q.13 Which of the following MUST be true?
a.(1) The student in 5th position from left is of 'Tall' category.
b.(2) The student in 8th position from left is of 'Short' category.
c.Both (1) and (2).
d.Neither (1) nor (2).
Q.14 What best can be said about the number of students who are of 'Short' height?
a.Exactly 6
b.Exactly 7
c.At least 5
d.Less than 6
Q.15 Height-wise category of students of how many positions can be uniquely determined?
Which of the following statement/s is/are definitely true?St-1: Students occupying 4th and 14th position from left are of same category.St-2: Students occupying 7th and 10th position from left are of same category.St-3: Students occupying 10th and 15th position from left are of same category.
a.Only St-1
b.Both St-2 and St-3
c.Both St-1 and St-3
d.Only St-3
Q.16 What will be the correct range of the values among the following four options within which the sum of position values (if we find a student is standing in the 5th position from left then his position value will be 5) of all the ‘Tall’ students will lie?
a.30 – 32 (inclusive)
b.33 – 35 (inclusive)
c.33 – 36 (inclusive)
d.30 – 34 (inclusive)
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