What is the best answer to a question, ‘How do so many students manage to get such a huge score by attempting so many questions?’ As teachers, whatever answers we think of and even as students, whatever answers we get narrowed down upon just one answer! PRACTICE, CONSISTENT and FOCUSSED PRACTICE!! After going through the entire course material that we have, instead of feeling confident we must feel curious. Curious as in what new pattern can be derived out of the basics that we have already studied, how much extra time would a set take if it were modified a bit and we are brought out of our comfort zone. All this analysis is possible only when one goes through regular practice and keeps attempting new sets of puzzles, inequalities etc… Solve these questions and enjoy! 🙂

1. Question 1

Directions: Solve the following inequalities and select your answer choice as:

(1) If only conclusion II is true
(2) If only conclusion I is true
(3) If both conclusions I and II are true
(4) If either conclusion I or II is true
(5) If neither conclusion I nor II is true

1. I≥L; L>Q; I=P≥E; S≤L; E>R

Conclusions:

(1) P≥S
(2) I>R

2. Question 2

Directions: Solve the following inequalities and select your answer choice as: 

(1) If only conclusion II is true
(2) If only conclusion I is true
(3) If both conclusions I and II are true
(4) If either conclusion I or II is true
(5) If neither conclusion I nor II is true

2. A≥D; G>R≥E; A=E≤J; S≥T≥A

Conclusions:

(1) T≥D
(2) R>S

3. Question 3

Directions: Solve the following inequalities and select your answer choice as: 

(1) If only conclusion II is true
(2) If only conclusion I is true
(3) If both conclusions I and II are true
(4) If either conclusion I or II is true
(5) If neither conclusion I nor II is true

3. A>C; B≤A; F>E; C≤D≤E

Conclusions:

(1) A≥E
(2) C<F

4. Question 4

Directions: Solve the following inequalities and select your answer choice as: 

(1) If only conclusion II is true
(2) If only conclusion I is true
(3) If both conclusions I and II are true
(4) If either conclusion I or II is true
(5) If neither conclusion I nor II is true

4. G>R≥E; A≤T≤S; D≤A≤J; A=E

Conclusions:

(1) J>G
(2) J=G

5. Question 5

Directions: Solve the following inequalities and select your answer choice as: 

(1) If only conclusion II is true
(2) If only conclusion I is true
(3) If both conclusions I and II are true
(4) If either conclusion I or II is true
(5) If neither conclusion I nor II is true

5. L>Q; P=I≥L; P≥E>R; L≥S

Conclusions:

(1) L<R
(2) E≥Q

6. Question 6

Directions: Study the following information carefully and answer the questions given below:

Eight players— A, B, C, D, E, F, G and H are sitting in three lines L1, L2 and L3. And they are in three different categories, either batsman or bowler or all rounder. In each line at least two and at most three players are sitting there. And at least two players are in each category but not more than three.

B and C are in different lines but in not in L2, and both are in the same categories. H and G are in the same line and in the same categories, but not all rounders. D and E are in different lines but not in line L1 and in different categories but not all rounder. A is in line L2 and D is not in the same line as in A. Both players of line L2 are bowlers. F and C are in the same line and there are three batsmen.

6. Who are the batsmen among these eight players?

1) B, D, F
2) G, D, B
3) B, G, H
4) H, G, C
5) D, H, G

7. Question 7

Directions: Study the following information carefully and answer the questions given below:

Eight players— A, B, C, D, E, F, G and H are sitting in three lines L1, L2 and L3. And they are in three different categories, either batsman or bowler or all rounder. In each line at least two and at most three players are sitting there. And at least two players are in each category but not more than three.

B and C are in different lines but in not in L2, and both are in the same categories. H and G are in the same line and in the same categories, but not all rounders. D and E are in different lines but not in line L1 and in different categories but not all rounder. A is in line L2 and D is not in the same line as in A. Both players of line L2 are bowlers. F and C are in the same line and there are three batsmen.

7. In which line are G and D sitting?

1) L2 and L3
2) L1 and L2
3) L1 and L3
4) Both in L3
5) Can’t be determined

8. Question 8

Directions: Study the following information carefully and answer the questions given below:

Eight players— A, B, C, D, E, F, G and H are sitting in three lines L1, L2 and L3. And they are in three different categories, either batsman or bowler or all rounder. In each line at least two and at most three players are sitting there. And at least two players are in each category but not more than three.

B and C are in different lines but in not in L2, and both are in the same categories. H and G are in the same line and in the same categories, but not all rounders. D and E are in different lines but not in line L1 and in different categories but not all rounder. A is in line L2 and D is not in the same line as in A. Both players of line L2 are bowlers. F and C are in the same line and there are three batsmen.

8. Which of the following two are in the same category and in the same line as well?

1) B and F
2) D and H
3) B and G
4) C and F
5) D and E

9. Question 9

Directions: Study the following information carefully and answer the questions given below:

Eight players— A, B, C, D, E, F, G and H are sitting in three lines L1, L2 and L3. And they are in three different categories, either batsman or bowler or all rounder. In each line at least two and at most three players are sitting there. And at least two players are in each category but not more than three.

B and C are in different lines but in not in L2, and both are in the same categories. H and G are in the same line and in the same categories, but not all rounders. D and E are in different lines but not in line L1 and in different categories but not all rounder. A is in line L2 and D is not in the same line as in A. Both players of line L2 are bowlers. F and C are in the same line and there are three batsmen.

9. In which category and line sits A?

1) Bowler—L2
2) Bowler—L3
3) Batsman—L2
4) Batsman L3
5) Can’t be determined

10. Question 10

Directions: Study the following information carefully and answer the questions given below:

Eight players— A, B, C, D, E, F, G and H are sitting in three lines L1, L2 and L3. And they are in three different categories, either batsman or bowler or all rounder. In each line at least two and at most three players are sitting there. And at least two players are in each category but not more than three.

B and C are in different lines but in not in L2, and both are in the same categories. H and G are in the same line and in the same categories, but not all rounders. D and E are in different lines but not in line L1 and in different categories but not all rounder. A is in line L2 and D is not in the same line as in A. Both players of line L2 are bowlers. F and C are in the same line and there are three batsmen.

10. In which category there are three players?

1) Bowlers and all-rounders
2) Batsmen and all-rounders
3) Bowlers and Batsmen
4) Can’t be determined
5) None of these

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