Practice Exercise 1: Study the information given below and answer the questions based on it.

There are six employees A, B, C, D, E and F of a company and all of them are working on six different designations of the company viz. CMD, MD, CEO, COO, SE, and JE. All the designations given are to be considered in the given order (as CMD is considered as the Senior-most and JE is considered as the Junior-most). Only two persons are senior to A. The one who is junior to only one person likes Litchi. The one who likes Mango is senior to B. F likes Guava and is junior to B. B does not like Litchi. C is senior to one who likes Kiwi. The one who likes Kiwi is not JE. The one who is JE neither likes Bananas nor Grapes. D does not like Litchi and also is not SE. E does not like Kiwi and is junior to C but senior to F. D is junior to the one who likes Bananas. C is not junior to the one who likes Grapes. The one who likes Kiwi is just junior to D. A does not like Bananas. The one who likes Grapes is senior to the one who likes Mangoes.

1. Who among the following is JE of the company?

A. C

B. A

C. B

D. D

E. F

2. Who among the following likes Grapes?

A. E

B. C

C. A

D. B

E. D

3. How many persons are junior to B?

A. One

B. Two

C. Three

D. More than three

E. None of these

4. Which fruit is liked by the one who is CMD?

A. Guava

B. Mango

C. Kiwi

D. Grapes

E. Bananas

5. Who among the following is just junior to A?

A. E

B. C

C. F

D. B

E. D

> Only two persons are senior to A. The one who is junior to only one person likes Litchi.

Practice Exercise 1 Table (Part - 1)

> The one who likes Mango is senior to B. F likes Guava and is junior to B. The one who likes Grapes is senior to the one who likes Mangoes.

Practice Exercise 1 Table (Part - 2)

> The one who likes Kiwi is not JE. The one who is JE neither likes Bananas nor Grapes.

This implies JE does not likes Kiwi, Bananas, and Grapes. Also, JE being the junior-most designation, can’t be the one who likes Mangoes and Grapes. Therefore, JE is F who likes Guava.

Practice Exercise 1 Table (Part - 3)

> D does not like Litchi and also is not SE. D is junior to the one who likes Bananas. A does not like Bananas.

This implies D can’t be CMD, MD, and SE. Therefore, he is COO. Since A does not like Bananas, CMD is the one who likes Bananas.

Practice Exercise 1 Table (Part - 4)

> E does not like Kiwi and is junior to C but senior to F.

Practice Exercise 1 Table (Part - 5)

Now let’s answer the questions:

1. Option (E) is correct.

2. Option (C) is correct.

3. Only one person is junior to B. So, A is the correct option.

4. Option (E) is correct.

5. D is just junior to A. So, E is the correct option.

Practice Exercise 2: Read the following passage and solve the questions based on it.

A chess tournament is taking place at the college club and the players on all the four tables are engaged in their fourth game against their respective opponents. The players with the white pieces are Sharukh, John, Saif, and Malcolm. The players with the black pieces are Salman, Tony, Roy, and Sohail. The scores are 3:0, 2.5:0.5, 2:1 and 1.5:1.5

(Note: Tied games result in a score of 0.5 for each player).

(i) The player using white pieces at table 4 is Malcolm; however, the current score at the table is not 2:1.

(ii) Saif is playing at the table on the right-hand side of Sohail, who has lost all his games until now.

(iii) Roy, who is not in the lead against his opponent, has not been in a tied game.

(iv) Salman is leading his match after his last three games.

(v) John is playing against Tony.

(vi) At least one game at table 1 has resulted in a tied game.

(One win gets 1 point for the winner whereas a player gets no point for losing the game)

1. Which table is Sohail playing at, and what is the score at that table?

A. table 1: 2.5-1.5

B. table 2: 3-0

C. table 2: 2.5-1.5

D. table 3: 2-1

2. Which player has the highest score?

A. Sharukh

B. Saif

C. Tony

D. Roy

3. Which player had the black pieces along with and the lowest score?

A. Salman

B. Tony

C. Roy

D. Sohail

4. Who is the winning player at table 4?

A. Salman

B. Malcolm

C. Sharukh

D. John

> The player using white pieces at table 4 is Malcolm; however, the current score at the table is not 2:1.

Practice Exercise 2 Table (Part - 1)

> Saif is playing at the table on the right-hand side of Sohail, who has lost all his games until now.

> At least one game at table 1 has resulted in a tied game.

> John is playing against Tony.

Since Sohail has lost all his games until now, he can’t be at table 1. Therefore, he is at table 2, Saif is at table 3 and John is playing against Tony at table 1.

Practice Exercise 2 Table (Part - 2)

Sharukh must be playing against Sohail. Since Sohail has lost all his games until now, the score at table 3 is 3-0 with Sharukh having 3 points.

Practice Exercise 2 Table (Part - 3)

(iii) Roy, who is not in the lead against his opponent, has not been in a tied game.

This implies that Roy is on the table with scores 2-1. This is possible only at table 3. Since he is not in the lead against his opponent, his score must be 1.

Practice Exercise 2 Table (Part - 4)

(iv) Salman is leading his match after his last three games.

This implies score at table 4 is 2.5-0.5 and Salman’s score is 2.5

Practice Exercise 2 Table (Part - 5)

Now let’s answer the questions:

1. Option (B) is correct.

2. Option (A) is correct.

3. Option (D) is correct.

4. At table 4, Salman is leading his opponent Malcolm by more than 1 point. So clearly he is winning. Therefore, A is the correct option.

Practice Exercise 3: Fifteen people live on different floors in the given three buildings X, Y, and Z such that each of the floors of the building is occupied by the given person. Building X is immediate west of building Y, which is immediate west to building Z. In the building ground floor is numbered as 1, above it is floor 2 and so on… In the building, floor-1 of building Y is immediate East of floor-1 of building X but immediate west of floor-1 of building Z and so on.

Note: A is west to B does not mean A is immediate west to B. Above or below does not mean in the same building.

N lives to the west of L on 3rd floor. M is immediate west to I. K is immediate east to E. A lives on the top floor of the building such that none of the person lives above A in any of the building. The number of floors between J and H is same as between H and I. I lives below J. The one who is either immediate above or below N is immediate left to B. Two persons live between B and M. M lives in the same building as B. B does not live in the same building as J. Building Z has more number of floors than building Y but less than building X. H is not in the same building as L. Two persons live between D and C. F live to the west of G. D lives above O, D and C live in the same building. D does not live on the even-number floor.

1. How many persons are living above B in the same building?

A. Two

B. One

C. Three

D. Four

E. None

2. Who among the following lives to the immediate east of F?

A. L

B. J

C. H

D. B

E. A

3. Which of the following is true regarding O?

A. Lives in the same building as L

B. Lives on the 2nd floor

C. Lives to the west of G

D. All are true

E. None is true

4. Which of the following floor does C live on?

A. 3rd

B. 1st

C. 2nd

D. 4th

E. None of the above

5. Who among the following lives just above N in the same building?

A. L

B. F

C. H

D. B

E. A

Based on the information provided in the question, we can make the following data table.

Practice Exercise 3 Table

1. No one lives above B in building Y. So, E is the correct option.

2. B lives to the immediate east of F. So, D is the correct option.

3. Option (E) is correct.

4. C lives on the 2nd floor of building Z. So, C is the correct option.

5. F lives just above N in the same building. So, B is the correct option.

Practice Exercise 4: King Amitabh of Bollysteel organized initials to decide the groom for his daughter in two steps – The preliminary stage and the final stage. The preliminary stage comprised of a written test whereas in the final stage there was an archery competition. The archery competition consisted of five rounds wherein the contestants could score from 2 to 9 points in each round. The prince who scored the maximum points in these five rounds would be considered the winner in the overall standing and would marry the princess.

When the results of the preliminary stage were announced, it was found that only five princes – A, B, C, D, and E qualified the preliminary stage and hence these were the only contestants left to compete in the final stage.

During the final stage, however, the judge who was tabulating the scores of the princes started taking sporadic short naps and so at the end, King Amitabh asked for the scorecard to find out the winner, he was presented the following table:

Practice Exercise 4 Question Table

However, the judges had made the following observations too:

(i) No two princes had scored equally in any round.

(ii) The difference between the total points scored by Prince A and Prince D was 6 points.

(iii) Prince A scored an even number of points both in the 2nd and the 4th rounds.

(iv) Prince B’s total points were greater than Prince C’s total points.

(v) Each of the five princes scored greater than or equal to 24 points in the five rounds.

(vi) There was tie between any two princes in their overall points.

1. Prince D won the competition and married the Princess. Also, Prince B scored 28 points from the five rounds. Then, which of the following could be false?

A. Prince C scores more points than Prince E in round 4.

B. Prince A scores more points than Prince E in round 2.

C. Prince B scores more points than Prince E in round 1.

D. Prince D scores more points than Prince A in round 3.

2. If Prince D scores 5 points in the 3rd round and Prince C scores 4 points in the 5th round, then which of the following will definitely be false?

A. Prince A is 1st in the overall standing

B. Prince E is 2nd in the overall standing

C. Prince C is 3rd in the overall standing

D. Prince D is 4th in the overall standing

3. If Prince E scores 2 points in the 3rd round, then which of the following statements is sufficient to decide the winner?

I. Prince C scores the maximum possible points in the 5th round.

II. Prince D scores the maximum possible points in the 3rd round.

A. Only I

B. Only II

C. I and II

D. Even I and II together are not sufficient to decide the winner

1. If Prince D won the competition and Prince B scores 28 points from the five rounds, then the scorecard would be as follows:

Practice Exercise 4 Table (Part - 1)

Let’s check the questions:

A. Prince C score in round 4 is 8 points, which would be more than Prince E’s score in this round. So, this statement is true.

B. Prince A’s score in round 2 is 4 points and Prince E’s score in this round is 3 points. So, this statement is true as well.

C. If Prince B scores 7 points in round 1 and Prince E scores 8 points in this round, then Prince B’s score would be less than Prince E’s score. Therefore, this statement could be false.

D. Prince D scores 9 points in round 3 and Prince A scores 8 points in this round. So, this statement is true as well.

Therefore, C is the correct option.

2. The scorecard would be as follows:

Practice Exercise 4 Table (Part - 2)

We can see that both Prince A and Prince D scores more than Prince C. Also, it is given that Prince B scores more than Prince C. So, Prince C would be 4th or 5th in the overall standing. Therefore, C is the correct option.

3. 

Statement I: Prince C scores the maximum possible points in the 5th round.

It is given that C scores less than B. Therefore, for C’s score to be maximum, B’s score should also be maximum.

Practice Exercise 4 Table (Part - 3)

> If D scores 32 points, A’s score would be 26 points and E’s maximum possible score would be 28 points. So, D would be the winner.

> If A scores 34 points, D’s score would be 28 points. In this case, A would be the winner.

So, based on Statement I alone, we can’t decide the winner.

Statement II: Prince D scores the maximum possible points in the 3rd round.

Practice Exercise 4 Table (Part - 4)

D’s score would be 32 points and A’s score would be 26 points. B’s maximum possible score would be 29 points, and both E’s and C’s maximum possible score would be 28 points. Therefore, Prince D would be the winner.

Hence, Statement II alone is sufficient to decide the winner. So, B is the correct option.

Practice Exercise 5: Read the following information and answer the questions that follow.

A building has eight floors numbered one to eight, in such a manner that the ground floor is numbered one, the floor above it, numbered two and so on such that the topmost floor is numbered eight. One of the eight persons, viz, P, Q, R, S, T, U, V, and W lives on each floor but not necessarily in the same order.

R lives on the third floor. Only two persons live between the floors of R and V. W lives on the floor immediately above the floor of Q. Only one person lives between the floors of T and U. T lives above U. Only one person lives between the floors of R and S. S lives on any floor below the floor of T.

1. Who among the following lives on the fifth floor?

A. S

B. Q

C. W

D. P

E. V

2. Who among the following lives between the floors of R and S?

A. U

B. P

C. V

D. T

E. W

3. Who among the following lives on the topmost floor?

A. T

B. Q

C. W

D. R

E. V

4. Four of the following five are alike in a certain way and hence they form a group. Which one of the following does not belong to that group?

A. R

B. V

C. P

D. S

E. Q

5. How many persons live between the floors of Q and U?

A. None

B. One

C. Two

D. Three

E. Four

> R lives on the third floor. Only two persons live between the floors of R and V.

Practice Exercise 5 Table (Part - 1)

> Only one person lives between the floors of T and U. T lives above U.

Practice Exercise 5 Table (Part - 2)

> Only one person lives between the floors of R and S. S lives on any floor below the floor of T.

Practice Exercise 5 Table (Part - 3)

> W lives on the floor immediately above the floor of Q.

This is possible only in Case 2. So, we reject Case 1.

Practice Exercise 5 Table (Part - 4)

Now let’s answer the questions:

1. P lives on the fifth floor. So, D is the correct option.

2. U lives between the floors of R and S. So, A is the correct option.

3. W lives on the topmost floor. So, C is the correct option.

4. R, P, S, and Q live on an odd-numbered floor, and V lives on an even-numbered floor. So, B is the correct option.

5. Four persons live between Q and U. So, E is the correct option.