Skip to main content

Logical Reasoning Booster - Set 2 - Edwin Jose, CAT 100 percentiler (DILR)

Edwin Jose aced CAT 2015 with 99.99 percentile and scored a perfect 100 percentile in DILR section. Edwin works with IQuanta as a DILR mentor and runs his own offline classes in Trivandrum.

Below are 2 Logical Reasoning sets and couple of questions based on family tree -- All with their detailed solutions.

DIRECTIONS : Answer the questions on the basis of the information given below.

People Power Corporation presently employs three Managers (A, B and C) and five recruitment agents (D, E, F, G and H). The company is planning to open a new office in San Jose to manage placement of software professionals in the US. It is planning to relocate two of the three managers and three of the five recruitment agents to the office at San Jose. As it is an organisation which is highly people oriented the management wants to ensure that the individuals who do not function well together should not be made as a part of the team going to the US. The following information was available to the HR department of People Power Corporation. 

  • Managers A and C are at each others throat and therefore cannot be sent as a team to the new office.
  • C and E are excellent performers in their own right. However, they do not function together as a team. They should be separated.
  • D and G have had a major misunderstanding during the last office picnic. After the picnic these two have not been in speaking terms and should therefore not be sent as a team.
  • D and F are competing for a promotion which is due in another 3 months. They should not be a team.

1. If D goes to the new office which of the following is (are) true?

I. C cannot go
II. A cannot go
III. H must also go

(a) I only
(b) II and III only
(c) I and III only
(d) I, II and III

2. If A is to be moved as one of the Managers, which of the following cannot be a possible working unit?

(a) ABDEH
(b) ABFGH
(c) ABEGH
(d) ABDGH

3. If C and F are moved to the new office, how many combinations are possible?

(a) 4
(b) 1
(c) 3
(d) 5

4. Given the group dynamics of the Managers and the recruitment agents, which of the following is sure to find a berth in the San Jose office?

(a) B               
(b) H              
(c) G               
(d) E

5. If C is sent to the San Jose office which member of the staff cannot go with C?

(a) B               
(b) D              
(c) G               
(d) F

Detailed Solution:

From clues I & III we can conclude that B is always present and one only one of A & C is always present. Also note that when D goes than the only combination possible agents is D-E-G and from clues IV, in such a case A should be included.

1.    c

2.    d

3.    b       From clues IV & VI we conclude that F – G – H are the recruitment agents that should be included. Hence only one combination is possible.

4.    a

5.    b       From previous solutions we know that F, G and B all can go with C.

DIRECTIONS : Answer the questions on the basis of the information given below.

It is a game based on the position you take in a clock. You are at the 1 O’clock position. You can move one step clockwise, 1 step anti clockwise or to a place that is diametrically opposite yours. For example, from 1 O’clock if you move clockwise you will be at 2 O’clock. As you start the game, you are at 1 O’clock position and your score is 1. If you move a step clockwise, add the value of the time in that position to your score to give you the new score. If you move a step anticlockwise, add the value of the time in that position and subtract 2 from your score. If you move a step diametrically opposite, add the value of the time in that position to your score and subtract 4 from your score to get the new score. You cannot get back to a position that you have already visited.

1. What will be your minimum score after the third move?

(a) 10
(b) 7
(c) 11
(d) None of these

2. What will be your maximum score after the second move?

(a) 16
(b) 18
(c) 20
(d) 24

3. If you had moved a step anticlockwise in the first move, you could not have reached one of the following positions in the third move.

(a) 10 O’clock
(b) 5 O’clock
(c) 7 O’clock
(d) 6 O’clock

4. What is the shortest number of moves that you require to reach the 5 O’clock position When you start from 1 O’clock position?

(a) 4
(b) 3
(c) 5
(d) 2

Detailed Solution:

The following table gives the moves that can be made for the mentioned conditions. The underlined positions indicate your position after nth move.

1.    d

2.    c

3.    d        

By moving a step anticlockwise in the first move, you reach at 12 O’clock. From here you can reach

(1) 10’O Clock through 12 – 11 - 10

(2) 5 ‘O clock through 12 – 6 – 5

(3) 7 ‘O Clock through 12 – 6 – 7. But you cannot reach 6 ‘O Clock.

4.    b

A man said to a lady, “Your mother’s husband’s sister is my aunt.” How is the lady related to the man?

(a) Mother
(b) Aunt
(c) Sister
(d) Grandmother

Your mother’s husband ⇒ your father.

Your father’s sister ⇒ your aunt.

So, the lady’s aunt is the man’s aunt ⇒ the man and the lady are brother and sister.

If P + Q means P is the brother of Q, P – Q means P is the mother of Q and P * Q means P is the sister of Q. Which of the following means M is the maternal uncle of R, if you can assume a third person K to be involved in establishing the relationship?

(a) M - K * P
(b) M + K * R
(c) M + K - R
(d) M + K + R

M is the maternal uncle of R means m is the brother of R‘s mother (say K) i.e., M + K – R.