Question – 1

**A team of 5 students has to be selected from a group of 8 students for a play. The play requires exactly two girls and three boys. The group of 8 students have three girls namely Emma, Jennifer and Sandy and five boys namely David, Andrew, Richard, Larry and Mark. The team must be selected in accordance with the following rules.1) Either Richard or Larry (not both) should be selected compulsorily.2) David cannot be selected along with Sandy.3) Emma and Sandy cannot be selected together.4) David and Richard cannot be selected together.**

1. Which of the following is an acceptable team?

- A. Emma, Jennifer, David, Andrew and Richard.
- B. Emma, Sandy, Andrew, Richard and Mark.
- C. Jennifer, Sandy, Andrew, Richard and Mark.
- D. Jennifer, Sandy, David, Andrew and Larry.
- E. Emma, Jennifer, David, Andrew and Mark.
- Answer:C
- Answer Explanation:Option A is wrong since it violates the fourth rule.Option B is wrong since it violates the third rule.Option C is correct as it obeys all the rules.Option D is wrong since it violates the second rule.Option E is wrong since it violates the first rule.

Question – 2

**A team of 5 students has to be selected from a group of 8 students for a play. The play requires exactly two girls and three boys. The group of 8 students have three girls namely Emma, Jennifer and Sandy and five boys namely David, Andrew, Richard, Larry and Mark. The team must be selected in accordance with the following rules.1) Either Richard or Larry (not both) should be selected compulsorily.2) David cannot be selected along with Sandy.3) Emma and Sandy cannot be selected together.4) David and Richard cannot be selected together.**

2. If David is selected, which of the following statements is false?

- A. Emma should be selected compulsorily.
- B. Sandy shouldn’t be selected.
- C. Larry should be selected compulsorily.
- D. Richard should be selected compulsorily.
- E. Either Mark or Andrew should be selected.
- Answer:D
- Answer Explanation:Option A is wrong as it is a true statement. Since Sandy cannot be selected. It is necessary that Emma is selected.Option B is wrong as it is true according to second rule.Option C is wrong as it is a true statement in accordance with first and fourth rules.Option D is correct as it is a false statement according to fourth rule.Option E is wrong. If David is selected, then Richard cannot be selected so selecting Larry becomes compulsory and also selecting either Andrew or Mark becomes compulsory.

Question – 3

**A team of 5 students has to be selected from a group of 8 students for a play. The play requires exactly two girls and three boys. The group of 8 students have three girls namely Emma, Jennifer and Sandy and five boys namely David, Andrew, Richard, Larry and Mark. The team must be selected in accordance with the following rules.1) Either Richard or Larry (not both) should be selected compulsorily.2) David cannot be selected along with Sandy.3) Emma and Sandy cannot be selected together.4) David and Richard cannot be selected together.**

3. Which of the following students should be selected compulsorily in any case?

- A. Emma
- B. Jennifer
- C. David
- D. Andrew
- E. Mark
- Answer:B
- Answer Explanation:According to the third rule, Emma and Sandy cannot be selected together, so in any case selecting Jennifer becomes compulsory.

Question – 4

4. Which of the following students must be selected if Richard and Mark are selected?

- A. Andrew
- B. Emma
- C. Sandy
- D. Jennifer
- E. Larry
- Answer:A
- Answer Explanation:Here, any two of the three girls can be selected, it is not compulsory to choose a particular girl. Also, since Richard is selected, Larry cannot be selected. So, Andrew must be selected as David cannot be selected due to selection of Richard according to the fourth rule.

Question – 5

5. If Larry is selected, which of the following is a true statement?

- A. Emma must be selected.
- B. Jennifer shouldn’t be selected.
- C. Sandy must be selected.
- D. Either David or Andrew or both should be selected.
- E. Mark cannot be selected.
- Answer:D
- Answer Explanation:Here, any two of the three girls can be selected, it is not compulsory to choose a particular girl.Option A is wrong as it is a false statement according to the above explanation.Option B is wrong as Jennifer should be selected in any case.Option C is wrong according to the above given explanation.Option D is correct as it is a true statement. If Larry is selected, Richard cannot be selected which leaves us with three options David, Andrew and Mark of which we have to select two boys.Option E is wrong as Mark can be selected.

Question – 6

**The procedure to perform a Chemistry practical consist of five steps – A, B, C, D and E not in the same order. To perform the practical in an appropriate way, following points should be kept in mind.1). Step A must take place before step C2). Step B must take place before step D3). Step E is not the fifth step.**

6. Which of the following is an acceptable order of steps?

- A. A, C, B, D and E
- B. A, C, D, E and B
- C. A, B, C, D and E
- D. A, E, C, B and D
- E. E, C, A, B and D
- Answer:D
- Answer Explanation:Option A is wrong as it violates the third rule.Option B is wrong as it violates the second rule.Option C is wrong as it violates the third rule.Option D is correct as it obey all the rules.Option E is wrong as it violates the first rule.

Question – 7

**The procedure to perform a Chemistry practical consist of five steps – A, B, C, D and E not in the same order. To perform the practical in an appropriate way, following points should be kept in mind.1). Step A must take place before step C2). Step B must take place before step D3). Step E is not the fifth step.**

7. If A and D are at the first and third step respectively, which of the following is the last step?

- A. Exactly B
- B. B or C
- C. Definitely C
- D. Definitely E
- E. B or E
- Answer:C
- Answer Explanation:If A and D are the first and third step, we are left with second, fourth and fifth steps. Since, B should take place before step D, it should be the second step. Also E cannot be the fifth step, so C is the only step which is left and so it is the required last step.

Question – 8

**The procedure to perform a Chemistry practical consist of five steps – A, B, C, D and E not in the same order. To perform the practical in an appropriate way, following points should be kept in mind.1). Step A must take place before step C2). Step B must take place before step D3). Step E is not the fifth step.**

8. If C and B are the second and fourth step respectively, which of the following represents the first and the last step respectively?

- A. A and E
- B. E and D
- C. A and D
- D. D and E
- E. nd A
- Answer:C
- Answer Explanation:Option A is wrong as it violates the third rule.Option B is wrong as it violates the first rule.Option C is correct as it satisfies all the rules.Option D is wrong as it violates the third rule as well as the second rule.Option E is wrong as it violates the first and the second rules.

Question – 9

9. If D is the second step, which of the following is a true statement?

- A. E should be the third step compulsorily.
- B. A should be the fourth step compulsorily.
- C. C should be the first step.
- D. B should be the first step.
- E. A should be the last step.
- Answer:D
- Answer Explanation:If D is the second step, B must be the first step. All the other options are wrong as they all are false statements. So, option D is correct.

Question – 10

10. Which of the following is a false statement?

- A. A cannot be the last step.
- B. B can be the last step.
- C. E can be the first step.
- D. D cannot be the first step
- E. E cannot be the last step
- Answer:B
- Answer Explanation:Option A is wrong as it is a true statement. A cannot be the last step as it should take place before C.Option B is correct as it is a false statement. B cannot be the last step as it should take place before D.Option C, option D and option E all are wrong as they are true statements.

Question – 11

**In an athletic event, a 100 metre race competition is organised. In the 100 metre race competition, there are total 6 participants – M, N, O, P, Q and R. At the end of the race following points are observed.1). M finished the race before P.2). N finished the race before P and after O.3). Q was the last to complete the race.4). O took more time than R to complete the race.5). M took more time than O to complete the race.**

11. Who was the winner of the race?

- A. M
- B. N
- C. O
- D. P
- E. R
- Answer:E
- Answer Explanation:Here, Q is at the last or sixth position. P took more time than M and N, M and N took more time than O and O took more time than R. So, the winner of the race is R. So, the correct answer is option E.

Question – 12

**In an athletic event, a 100 metre race competition is organised. In the 100 metre race competition, there are total 6 participants – M, N, O, P, Q and R. At the end of the race following points are observed.1). M finished the race before P.2). N finished the race before P and after O.3). Q was the last to complete the race.4). O took more time than R to complete the race.5). M took more time than O to complete the race.**

12. Which of the following is an acceptable order in which the participants finished their race?

- A. R, O, M, N, P and Q
- B. R, M, O, N, P and Q
- C. R, O, M, Q, N and P
- D. R, O, N, P, M and Q
- E. O, R, M, N, P and Q
- Answer:A
- Answer Explanation:Option A is correct as it satisfies all the given conditions.Option B is wrong as it violates the fifth condition.Option C is wrong as it violates the third condition.Option D is wrong as it violates the first condition.Option E is wrong as it violates the fourth condition.

Question – 13

**In an athletic event, a 100 metre race competition is organised. In the 100 metre race competition, there are total 6 participants – M, N, O, P, Q and R. At the end of the race following points are observed.1). M finished the race before P.2). N finished the race before P and after O.3). Q was the last to complete the race.4). O took more time than R to complete the race.5). M took more time than O to complete the race.**

13. What is the position of M?

- A. Second
- B. Exactly Third
- C. Exactly Fourth
- D. Either third or fourth
- E. Fifth
- Answer:D
- Answer Explanation:There is always change (depression) in the freezing point by the addition of solute to a solvent. Therefore, the freezing point of NaCl solution will be lower than that of water. Water’s freezing point is zero degree.

Question – 14

14. Which of the following is a true statement?

- A. O finishes third in the race.
- B. P finishes at the third place.
- C. P finishes the race at the fifth place.
- D. M finish the race at the second position
- E. N cannot finish the race before M.
- Answer:C
- Answer Explanation:According to the explanation given above, option A, option B, option D and option E are wrong. Option C is the correct answer.

Question – 15

15. Which of the following is a false statement?

- A. R won the race.
- B. Q is the second runner up.
- C. O is the first runner up.
- D. M can either finish third or fourth.
- E. P is at the fifth position.
- Answer:B
- Answer Explanation:R is the winner of the race and occupies the first position. O is slower than R but faster than all other participants, so it occupies the second position. Q is at the last position. P is faster than Q but slower than all other participants, so it occupies the fifth position. So, M and N can occupy either third or fourth position.Option A is wrong as it is a true statement according to the above given explanation.Similarly, option C, option D and option E are wrong as they are true statements.Option B is correct as it is a false statement. Q is not the second runners up.