DILR Test 3 Practice

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Q.1 Direction for Q1-5: Five ladies Mrs. Bhakti, Mrs. Preeti, Mrs. Neeti, Mrs. Shanti and Mrs. Rati stay in five suburbs of Bombay Dadar, Andheri, Kurla, Mulund and Borivli. They are engaged in five different occupations Bank employee, Actress, Teacher, Shop owner and Guide. 1) Mrs. Bhakti is a Bank employee, staying in Andheri. 2) Mrs. Neeti owns a book shop in Dadar, although she does not stay in Dadar. 3) Mrs. Rati's house is in Kurla. She is not a Guide. 4) The teacher, Mrs. Shanti, lives in Dadar. 5) The Guide does not stay in Borivli. At which of the following places does the actress stay?
A. Borivli
B. Dadar
C. Kurla
D. Andheri

Detailed Analysis:

On the basis of the given information we can make the following table.

Ladies

Suburbs

Occupations

Mrs. Bhakti

Andheri

Bank Employee

Mrs. Preeti

Mumbai

Guide

Mrs. Neeti

Borivli

Shop Owner

Mrs. Shanti

Dadar

Teacher

Mrs. Rati

Kurla

Actress
Q.2 Who among the following stays in Borivli?
A. Mrs. Neeti
B. Mrs. Preeti
C. Mrs. Shanti
D. Mrs. Rati

Detailed Analysis:

On the basis of the given information we can make the following table.

Ladies

Suburbs

Occupations

Mrs. Bhakti

Andheri

Bank Employee

Mrs. Preeti

Mumbai

Guide

Mrs. Neeti

Borivli

Shop Owner

Mrs. Shanti

Dadar

Teacher

Mrs. Rati

Kurla

Actress
Q.3 What is the occupation of Mrs. Preeti?
A. Bank employee
B. Actress
C. Teacher
D. Guide

Detailed Analysis:

On the basis of the given information we can make the following table.

Ladies

Suburbs

Occupations

Mrs. Bhakti

Andheri

Bank Employee

Mrs. Preeti

Mumbai

Guide

Mrs. Neeti

Borivli

Shop Owner

Mrs. Shanti

Dadar

Teacher

Mrs. Rati

Kurla

Actress
Q.4 Who is the actress?
A. Mrs. Shanti
B. Mrs. Preeti
C. Mrs. Neeti
D. Mrs. Rati

Detailed Analysis:

On the basis of the given information we can make the following table.

Ladies

Suburbs

Occupations

Mrs. Bhakti

Andheri

Bank Employee

Mrs. Preeti

Mumbai

Guide

Mrs. Neeti

Borivli

Shop Owner

Mrs. Shanti

Dadar

Teacher

Mrs. Rati

Kurla

Actress
Q.5 Where does the Guide stay?
A. Borivli
B. Mulund
C. Kurla
D. Dadar

Detailed Analysis:

On the basis of the given information we can make the following table.

Ladies

Suburbs

Occupations

Mrs. Bhakti

Andheri

Bank Employee

Mrs. Preeti

Mumbai

Guide

Mrs. Neeti

Borivli

Shop Owner

Mrs. Shanti

Dadar

Teacher

Mrs. Rati

Kurla

Actress
Q.6 Direction for Q6-9: Ten students Alex, Bryan, Charlie, Deepak, Elwin, Frank, George, Harish, Ian and Joseph are the only participants in an inter-college competition. They are all from three different colleges viz. Harvard, Stanford and Oxford. The number of participants from no two colleges is the same. The following additional information is known: 1. Exactly two of Bryan, Elwin and George are from Harvard. 2. Frank and Alex are from different colleges and neither of them is from a college where the maximum participants are. 3. Charlie and Ian are from the same college. 4. Derek, Harish, and Joseph are from three different colleges. 5. Harish is from Stanford and Derek is from the same college as Alex. Which two of these are definitely from two different colleges?
A. Elwin and Frank
B. Bryan and Alex
C. Ian and Derek
D. George and Harish

Detailed Analysis:

Ten students are Alex(A), Bryan(B), Charlie (C), Derek(0), Elwin(E), Frank(F), George(G), Harish(H), lan(I) and Joseph(J). D, H and J are from three different colleges. Also, two of B, E and 6 are from Harvard.

Therefore, there are at least 3 students from Harvard. If one of F or A is from Harvard, then two of the colleges will have the same number of participants.

Thus, neither F nor A is from Harvard. Also, it implies that most number of participants are from Harvard and there are at least two participants from each college. Thus, the only possibility is that there are 5 students from Harvard, and 3 and 2 students horn Stamford and Oxford (in any order).

From condition (v), Derek and Alex are from Oxford and Frank is from Stanford.

Thus, partial information about students is as below:

Harvard (5)

Stanford

Oxford

J

H

D

C

F

A

I

    

Two of B, E and G from Harvard.

As it can be seen from the table above, Ian and Derek are from different colleges. Hence, [3].

Q.7 Which of these students cannot be from the college from where the least number of participants are?
A. Frank
B. Joseph
C. Derek
D. Alex

Detailed Analysis:

Ten students are Alex(A), Bryan(B), Charlie (C), Derek(0), Elwin(E), Frank(F), George(G), Harish(H), lan(I) and Joseph(J). D, H and J are from three different colleges. Also, two of B, E and 6 are from Harvard.

Therefore, there are at least 3 students from Harvard. If one of F or A is from Harvard, then two of the colleges will have the same number of participants.

Thus, neither F nor A is from Harvard. Also, it implies that most number of participants are from Harvard and there are at least two participants from each college. Thus, the only possibility is that there are 5 students from Harvard, and 3 and 2 students horn Stamford and Oxford (in any order).

From condition (v), Derek and Alex are from Oxford and Frank is from Stanford.

Thus, partial information about students is as below:

Harvard (5)

Stanford

Oxford

J

H

D

C

F

A

I

    

Two of B, E and G from Harvard.

Joseph cannot be from a college where the least number of participants are. Hence, [2].

Q.8 If Joseph and Bryan are from different colleges, which of the below statements is definitely true?
A. Bryan and Alex are from Oxford.
B. Bryan is from the same college as Harish.
C. Elwin and Ian are from the same college.
D. None of the above

Detailed Analysis:

Ten students are Alex(A), Bryan(B), Charlie (C), Derek(0), Elwin(E), Frank(F), George(G), Harish(H), lan(I) and Joseph(J). D, H and J are from three different colleges. Also, two of B, E and 6 are from Harvard.

Therefore, there are at least 3 students from Harvard. If one of F or A is from Harvard, then two of the colleges will have the same number of participants.

Thus, neither F nor A is from Harvard. Also, it implies that most number of participants are from Harvard and there are at least two participants from each college. Thus, the only possibility is that there are 5 students from Harvard, and 3 and 2 students horn Stamford and Oxford (in any order).

From condition (v), Derek and Alex are from Oxford and Frank is from Stanford.

Thus, partial information about students is as below:

Harvard (5)

Stanford

Oxford

J

H

D

C

F

A

I

    

Two of B, E and G from Harvard.

From the given condition, George and Elwin are from Harvard. Thus, Elwin and Ian are from the same college. Hence, [3].

Q.9 The colleges of how many of the 10 students can be definitely determined?
A. 4
B. 5
C. 6
D. 7

Detailed Analysis:

Ten students are Alex(A), Bryan(B), Charlie (C), Derek(0), Elwin(E), Frank(F), George(G), Harish(H), lan(I) and Joseph(J). D, H and J are from three different colleges. Also, two of B, E and 6 are from Harvard.

Therefore, there are at least 3 students from Harvard. If one of F or A is from Harvard, then two of the colleges will have the same number of participants.

Thus, neither F nor A is from Harvard. Also, it implies that most number of participants are from Harvard and there are at least two participants from each college. Thus, the only possibility is that there are 5 students from Harvard, and 3 and 2 students horn Stamford and Oxford (in any order).

From condition (v), Derek and Alex are from Oxford and Frank is from Stanford.

Thus, partial information about students is as below:

Harvard (5)

Stanford

Oxford

J

H

D

C

F

A

I

    

Two of B, E and G from Harvard.

The colleges of 7 students out of 10 can be definitely determined. Therefore, the required answer is 7.

Q.10 The sequence 3, 6, 12, 24, 48, ___ follows a pattern. What is the next number in the sequence?
A. 96
B. 72
C. 60
D. 36

Detailed Analysis:

The pattern is each number is obtained by multiplying the previous number by 2. Therefore, the next number in the sequence is 48 * 2 = 96. So, the correct answer is option 1) 96.

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