Question – 1

**There are seven different cars Alfa, Buick, Cadillac, Daytona, Elfin, Ford and Gale, out of which billionaire Bill should select only five to gift his friends as per the following conditions:1) No car should be selected for more than one friend.2) Either the Daytona or Gale must be selected, but not both.3) If the Ford is selected, then the Cadillac must also be selected4) If Buick is selected, then the Daytona cannot be selected.**

1. If the Buick has been selected, then which of the following must also be selected?

- A. The Alfa
- B. The Daytona
- C. The Elfin
- D. The Ford
- E. The Gale
- Answer:E
- Answer Explanation:Option (A) is wrong since it is not necessary.Option (B) is wrong since it violates the fourth rule.Option (C) is wrong since it is not necessary.Option (D) is wrong since it is not necessary.Option (E) is correct as per the third and the second rules.

Question – 2

**There are seven different cars Alfa, Buick, Cadillac, Daytona, Elfin, Ford and Gale, out of which billionaire Bill should select only five to gift his friends as per the following conditions:1) No car should be selected for more than one friend.2) Either the Daytona or Gale must be selected, but not both.3) If the Ford is selected, then the Cadillac must also be selected4) If Buick is selected, then the Daytona cannot be selected.**

2. If the Alfa, Buick and Elfin have been selected, then which of the following must be the other two gift cars?

- A. Cadillac and Daytona
- B. Cadillac and Ford
- C. Cadillac and Gale
- D. Daytona and Ford
- E. Ford and Gale
- Answer:C
- Answer Explanation:Option (A) is wrong since it violates the fourth rule.Option (B) is wrong since it violates the second rule.Option (C) is correct since it is the only possible combination. As per the second rule, we must select Gale and not Daytona because Buick has already been selected. As per the second rule, we can select Cadillac. Hence, C is the correct answer option. (Note: the third rule states the Ford cannot be selected without selecting the Cadillac but not the other way around).Option (D) is wrong since it violates the fourth rule.Option (E) is wrong since it violates the second rule.

Question – 3

**There are seven different cars Alfa, Buick, Cadillac, Daytona, Elfin, Ford and Gale, out of which billionaire Bill should select only five to gift his friends as per the following conditions:1) No car should be selected for more than one friend.2) Either the Daytona or Gale must be selected, but not both.3) If the Ford is selected, then the Cadillac must also be selected4) If Buick is selected, then the Daytona cannot be selected.**

3. Which of the following is an acceptable combination of the gifts?

- A. Alfa. Buick, Cadillac, Elfin and Ford
- B. Alfa, Buick, Elfin, Ford and Gale
- C. Alfa, Cadillac, Elfin, Ford and Gale
- D. Buick, Cadillac, Daytona, Elfin and Ford
- E. Cadillac, Daytona, Elfin, Ford and Gale
- Answer:C
- Answer Explanation:Option (A) is wrong since it violates the second rule.Option (B) is wrong since it violates the third condition.Option (C) is correct since it does not violate any of the given rules.Option (D) is wrong since it violates the fourth rule.Option (E) is wrong since it violates the second rule.

Question – 4

4. If the Gale is not available momentarily, then the other car that should not be selected must be which one of the following?

- A. Alfa
- B. Buick
- C. Cadillac
- D. Daytona
- E. Elfin
- Answer:B
- Answer Explanation:Option (A) is wrong since there is no relative restriction between Alfa and Gale. The Alfa can be selected irrespective of the Gale.Option (B) is correct as per the fourth and the second rules.Option (C) is wrong since it can be selected without violating any rules.Option (D) is wrong since it can be selected as per the second rule.Option (E) is wrong since it can be selected.

Question – 5

5. If the Ford and Buick are selected, then which of the following is false?

- A. The Gale should be selected
- B. The Cadillac should be selected
- C. The Alfa should be selected
- D. The Daytona can be selected
- E. The Daytona cannot be selected
- Answer:D
- Answer Explanation:Option (A) is wrong since it is a must as per the fourth and the second rules.Option (B) is wrong since it is true as per the third rule.Option (C) is wrong since it must be selected.Option (D) is correct according to the fourth rule.Option (E) is wrong since it is true as per the fourth rule..

Question – 6

**In a diplomatic meeting, there were four dignitaries, Agents M, N, O and P who reported their research work. Furthermore, it is known that three of the dignitaries brought their assistants, Agent q, r and s to the meeting, who also addressed the gathering. The addressing went as per the following restrictions.1) Each assistant agent spoke only after their respective dignitary agent.2) Agent N is the first one to address and Agent O was the second.**

6. Which of the following order is not acceptable?

- A. N, q, O, s, P, M, r
- B. N, r, O, s, M, P, q
- C. N, O, q, M, r, P, s
- D. N, O, q, P, r, M, s
- E. N, O, s, r, P, M, q
- Answer:E
- Answer Explanation:Option (A) is wrong. It is possible since it does not violate any rule.Option (B) is wrong. It is possible since it does not violate any rule.Option (C) is wrong. It is possible since it does not violate any rule.Option (D) is wrong. It is possible since it does not violate any rule.Option (E) is correct since it violates the first rule.

Question – 7

**In a diplomatic meeting, there were four dignitaries, Agents M, N, O and P who reported their research work. Furthermore, it is known that three of the dignitaries brought their assistants, Agent q, r and s to the meeting, who also addressed the gathering. The addressing went as per the following restrictions.1) Each assistant agent spoke only after their respective dignitary agent.2) Agent N is the first one to address and Agent O was the second.**

7. If Agent M spoke after q and q was the third of the assistants to speak, then which of the following statements is false?

- A. Agent P spoke immediately after s
- B. N, s, O, r are the ones who spoke first in that order
- C. Agent P’s assistant was present
- D. Agent q was the fourth speaker after N
- E. The dignitaries spoke in the order N, O, P, M
- Answer:D
- Answer Explanation:As per the given conditions, the order would be: N_ O _ P q M, the empty spaces would be alternately filled in by r and s. We can clearly see that q could not be the fourth speaker after N.Option (A) is wrong since it is possible.Option (B) is wrong since it is possible.Option (C) is wrong since it is true.Option (D) is correct as per the above explanation.Option (E) is wrong since it is true.

Question – 8

**In a diplomatic meeting, there were four dignitaries, Agents M, N, O and P who reported their research work. Furthermore, it is known that three of the dignitaries brought their assistants, Agent q, r and s to the meeting, who also addressed the gathering. The addressing went as per the following restrictions.1) Each assistant agent spoke only after their respective dignitary agent.2) Agent N is the first one to address and Agent O was the second.**

8. If q spoke immediately after M and immediately before P, who was not the last speaker, then M spoke

- A. Sixth
- B. Second
- C. Fourth
- D. Third
- E. Fifth
- Answer:C
- Answer Explanation:Let us first abbreviate a dignitary with ‘D’ and an assistant with ‘a’. As per the given conditions, we can see the orders as: N O A D A D A or N A O A D A D. As per this question, M q P is a sequence and P is not the last speaker. As per the above analogy, we can see that the first order would be substantial. A possible order thence would be: N O _ M q P -. The gaps could be alternately filled in by r and s.Option (A) is wrong since it is not possible.Option (B) is wrong since it is not possible.Option (C) is correct as per the above explanation.Option (D) is wrong since it is not possible.Option (E) is wrong since it is not possible.

Question – 9

9. If s is N’s assistant, then r could be the agent who spoke immediately

- A. Before O
- B. Before q
- C. Before s
- D. After O
- E. After s
- Answer:D
- Answer Explanation:As per the given conditions, N s O would be the first three speakers. Now the possible orders would be: N s O q M r P // N s O r M q P // N s O q P r M // N s O r P q M.Option (A) is wrong since it is not possible.Option (B) is wrong since it is not possible.Option (C) is wrong since it is not possible.Option (D) is correct since it is the only possible combination.Option (E) is wrong since it is not possible.

Question – 10

10. If q was the third of the assistants to speak and M is the dignitary who attended alone, which of the following must be true?

- A. q spoke sometime before M
- B. r spoke sometime before P
- C. M spoke sometime before P
- D. P spoke sometime before M
- E. P spoke sometime before O
- Answer:B
- Answer Explanation:As per the given explanation, we can construct the possible orders as:N r O s P q M // N s O r P q M // N s O r M P q // N r O s M P qOption (A) is wrong since it is only possible for two of the above considerations. This question requires us to identify the possibility that is necessarily true.Option (B) is correct since it is the only possible combination as per the above considerations.Option (C) is wrong. Although it is possible, it is not necessarily true.Option (D) is wrong. Although it is possible, it is not necessarily true.Option (E) is wrong since it is not at all possible as per the above considerations.

Question – 11

**Johnny decides to pack his nine old gifts, A, B, C, D, E, F, G, H and I in three different boxes which he named, p, q and r. Each gift must be placed in exactly one of the boxes. Furthermore, there are certain restrictions as to placing the gifts.1) Box p must carry exactly one gift more than that carried by the box q, which should not be left empty.2) It is possible that the box r can be left empty.3) Neither A nor B nor C can be placed in the box p.4) Neither D nor E nor F can be placed in the box q.5) Neither G nor H nor I can be placed in the box r.**

11. If A and G are the only gifts placed in the box q, then how many gifts should Johnny place in the box r?

- A. 7
- B. 6
- C. 4
- D. 3
- E. 5
- Answer:C
- Answer Explanation:If q has two gifts, then p should be having three (as per first rule). Hence, r should be containing four gifts.Option (A) is wrong since it is not possible.Option (B) is wrong since it is not possible.Option (C) is correct as per the above explanation.Option (D) is wrong since it is not possible.Option (E) is wrong since it is not possible.

Question – 12

**Johnny decides to pack his nine old gifts, A, B, C, D, E, F, G, H and I in three different boxes which he named, p, q and r. Each gift must be placed in exactly one of the boxes. Furthermore, there are certain restrictions as to placing the gifts.1) Box p must carry exactly one gift more than that carried by the box q, which should not be left empty.2) It is possible that the box r can be left empty.3) Neither A nor B nor C can be placed in the box p.4) Neither D nor E nor F can be placed in the box q.5) Neither G nor H nor I can be placed in the box r.**

12. What is the maximum number of gifts that Johnny can place in the box r?

- A. 5
- B. 6
- C. 7
- D. 8
- E. 9
- Answer:B
- Answer Explanation:Constraint to the first condition, we cannot leave the box q empty. Hence, filling it with the minimum number of gifts would make sure that r has the maximum number. Hence, filling q with one gift, we shall have two in p (rule one), which leads to r having 6 gifts and that is the maximum number.Option (A) is wrong since it is not possible.Option (B) is correct as per the above explanation.Option (C) is wrong since it is not possible.Option (D) is wrong since it is not possible.Option (E) is wrong since it is not possible.

Question – 13

**Johnny decides to pack his nine old gifts, A, B, C, D, E, F, G, H and I in three different boxes which he named, p, q and r. Each gift must be placed in exactly one of the boxes. Furthermore, there are certain restrictions as to placing the gifts.1) Box p must carry exactly one gift more than that carried by the box q, which should not be left empty.2) It is possible that the box r can be left empty.3) Neither A nor B nor C can be placed in the box p.4) Neither D nor E nor F can be placed in the box q.5) Neither G nor H nor I can be placed in the box r.**

13. If I is the only gift placed in the box q, then which of the following gifts must be placed in the box p?

- A. D and H
- B. E and F
- C. D and G
- D. F and H
- E. G and H
- Answer:E
- Answer Explanation:As per the given rules, if I is in q, then p should have two gifts. As per the third and fourth rules, we can see that D, E, F, G and H can be placed in p. However, as per the fifth rule, we can see that only G and H should be placed in the box p.Option (A) is wrong since it violates the fifth rule.Option (B) is wrong since it violates the fifth rule.Option (C) is wrong since it violates the fifth rule.Option (D) is wrong since it violates the fifth rule.Option (E) is correct as per the above explanation.

Question – 14

14. If the box r is left empty, then which of the following should necessarily be placed in the box p?

- A. H
- B. G
- C. D
- D. B
- E. A
- Answer:C
- Answer Explanation:As per the given conditions, we can say that p should contain 5 gifts (D, E, F and one of [G, H, I]) and box q should contain four gifts (A, B, C and one of [G, H, I]). Hence, we can see that D or E or F should necessarily be in the box p.Option (A) is wrong since it is not necessary that p should contain H.Option (B) is wrong since it is not necessary that p should contain G.Option (C) is correct as per the above explanation.Option (D) is wrong since it is not necessary that p should contain B.Option (E) is wrong since it violates the third rule.

Question – 15

15. If C, G and H are the only gifts placed in the box q, then the gifts placed in r would be?

- A. A and B
- B. A and D
- C. B and E
- D. B and F
- E. C and E
- Answer:A
- Answer Explanation:As per the given conditions, p could contain only D, E, F, I (obeying the conditions one and three). Hence, r should necessarily contain A and B.Option (A) is correct since it is the only possibility.Option (B) is wrong since it violates the third rule.Option (C) is wrong since E should be placed in p.Option (D) is wrong since F should be placed in p.Option (E) is wrong since E should be placed in p..