Save Statement and Conclusions - Quiz - Quiz, Flashcards & Trivia

1. Directions for questions 1 to 6: Each question has a main statement followed by four statements labeled A,B,C and D. Choose the ordered pair of statements where the first statement implies the second, and the two statements are logically consistent with the main statement. The cheetah drinks Coke only if the bear drinks Pepsi. (A) The cheetah drinks Coke. (B) The cheetah does not drink Coke. (C) The bear does not drink Pepsi. (D) The bear drinks Pepsi.

CD

AD

BA

DB

The main statement states that the cheetah drinks Coke only if the bear drinks Pepsi. Statement A implies that the cheetah drinks Coke, which is consistent with the main statement. Statement D implies that the bear drinks Pepsi, which is also consistent with the main statement. Therefore, the ordered pair AD is logically consistent with the main statement.

Explanation

The main statement states that the cheetah drinks Coke only if the bear drinks Pepsi. Statement A implies that the cheetah drinks Coke, which is consistent with the main statement. Statement D implies that the bear drinks Pepsi, which is also consistent with the main statement. Therefore, the ordered pair AD is logically consistent with the main statement.

2. Directions for questions 1 to 6: Each question has a main statement followed by four statements labeled A,B,C and D. Choose the ordered pair of statements where the first statement implies the second, and the two statements are logically consistent with the main statement. Unless you catch the thief, the robberies will not stop. (A) The thief has been caught. (B) The robberies have stopped. (C) The thief has not been caught. (D) The robberies have not stopped.

CD

AC

BC

DA

The main statement states that unless the thief is caught, the robberies will not stop. Statement C, "The thief has not been caught," is consistent with the main statement because if the thief has not been caught, then the robberies will not stop. Statement D, "The robberies have not stopped," is also consistent with the main statement because if the robberies have not stopped, it implies that the thief has not been caught. Therefore, the ordered pair CD is the correct answer.

Explanation

The main statement states that unless the thief is caught, the robberies will not stop. Statement C, "The thief has not been caught," is consistent with the main statement because if the thief has not been caught, then the robberies will not stop. Statement D, "The robberies have not stopped," is also consistent with the main statement because if the robberies have not stopped, it implies that the thief has not been caught. Therefore, the ordered pair CD is the correct answer.

3. Directions for question 10: In each of the following questions, two or more statements are given under P and Q, respectively. These statements are followed by one inference each. On the basis of the statements, mark one of the following choices. P. Some philosophers are wise. All philosophers are human beings. Therefore, all human beings are wise. Q. Some philosophers are wise. Some human beings are philosophers. Therefore, all human beings are wise.

Only P’s conclusion is correct.

Only Q’s conclusion is correct.

P and Q’s conclusions are both correct.

P and Q’s conclusions are both incorrect.

The given statements in P and Q do not support the conclusions drawn in either P or Q. In P, the conclusion states that all human beings are wise, which is not supported by the given statements. In Q, the conclusion states that all human beings are wise, which is also not supported by the given statements. Therefore, both conclusions in respect of P and Q are incorrect.

Explanation

The given statements in P and Q do not support the conclusions drawn in either P or Q. In P, the conclusion states that all human beings are wise, which is not supported by the given statements. In Q, the conclusion states that all human beings are wise, which is also not supported by the given statements. Therefore, both conclusions in respect of P and Q are incorrect.

4. Directions for questions 7 to 9: Each question below consists of a main statement followed by four numbered statements. From the numbered statements, select the one that logically follows the main statement. If Ramesh leaves his job, then he will join an MBA course or an MCA course.

Ramesh has joined neither an MBA course nor an MCA course implies that he has not left his job.

Ramesh has not left his job implies that he will not join an MBA course and he will join an MCA course.

Ramesh has not joined an MBA course or an MCA course implying that he has not left his job.

Ramesh has not left his job implying that he will join an MBA course and he will join an MCA course.

If Ramesh has joined neither an MBA course nor an MCA course, it means that he has not left his job. This can be inferred because the main statement states that if Ramesh leaves his job, he will join either an MBA course or an MCA course. Therefore, if Ramesh has not joined either of these courses, it implies that he has not left his job.

Explanation

If Ramesh has joined neither an MBA course nor an MCA course, it means that he has not left his job. This can be inferred because the main statement states that if Ramesh leaves his job, he will join either an MBA course or an MCA course. Therefore, if Ramesh has not joined either of these courses, it implies that he has not left his job.

5. Directions for questions 1 to 6: Each question has a main statement followed by four statements labeled A,B,C and D. Choose the ordered pair of statements where the first statement implies the second, and the two statements are logically consistent with the main statement. The minister is not re-elected if the Chief Minister is not re-elected. (A) The minister is re-elected. (B) The minister is not re-elected. (C) The Chief Minister is not re-elected. (D) The Chief Minister is re-elected.

CA

BD

BA

AD

If the main statement is true, which states that the minister is not re-elected if the Chief Minister is not re-elected, then the first statement in the ordered pair (A) must also be true, which states that the minister is re-elected. However, the second statement in the ordered pair (D) cannot be true, as it contradicts the main statement. Therefore, the correct answer is (AD).

Explanation

If the main statement is true, which states that the minister is not re-elected if the Chief Minister is not re-elected, then the first statement in the ordered pair (A) must also be true, which states that the minister is re-elected. However, the second statement in the ordered pair (D) cannot be true, as it contradicts the main statement. Therefore, the correct answer is (AD).

6. Directions for questions 7 to 9: Directions for questions 7 to 9: Each question below consists of a main statement followed by four lettered statements. From the lettered statements, A-D, select the one that logically follows the main statement. If it is a Sunday, then on that day, there is no college and I go to Church.

If there is no college and I do not go to Church, then that day is a Sunday.

If there is college and I do not go to Church, then that day is not a Sunday.

If there is no college or I do go to Church, then that day is a Sunday.

Both B and C.

The main statement states that if it is a Sunday, then there is no college and the person goes to Church. Statement B states that if there is college and the person does not go to Church, then that day is not a Sunday. This logically follows the main statement because if there is college and the person does not go to Church, it implies that it is not a Sunday. Statement C states that if there is not college and the person does go to Church, then that day is a Sunday. This also logically follows the main statement because if there is not college and the person does go to Church, it implies that it is a Sunday. Therefore, both statements B and C logically follow the main statement.

Explanation

The main statement states that if it is a Sunday, then there is no college and the person goes to Church. Statement B states that if there is college and the person does not go to Church, then that day is not a Sunday. This logically follows the main statement because if there is college and the person does not go to Church, it implies that it is not a Sunday. Statement C states that if there is not college and the person does go to Church, then that day is a Sunday. This also logically follows the main statement because if there is not college and the person does go to Church, it implies that it is a Sunday. Therefore, both statements B and C logically follow the main statement.

7. Directions for questions 7 to 9: Each question below consists of a main statement followed by four numbered statements. From the numbered statements, select the one that logically follows the main statement. Whenever Arpita's father is in town, she does not attend college and goes to her uncle's house.

If Arpita has not abstained from college or she has not gone to her uncle’s house, it means that her father is not in town.

If Arpita has not abstained from college but her father is in town, then she will definitely go to her uncle’s house.

If Arpita has abstained from college but she has not gone to her uncle’s house, it means that her father is not in town.

Both (1) and (3) above.

If Arpita has not abstained from college or she has not gone to her uncle's house, it means that her father is not in town. This statement logically follows the main statement because it states that if Arpita has not done two specific actions (abstaining from college and going to her uncle's house), then it implies that her father is not in town. Similarly, if Arpita has abstained from college but she has not gone to her uncle's house, it also means that her father is not in town. Therefore, both statements (1) and (3) above logically follow the main statement.

Explanation

If Arpita has not abstained from college or she has not gone to her uncle's house, it means that her father is not in town. This statement logically follows the main statement because it states that if Arpita has not done two specific actions (abstaining from college and going to her uncle's house), then it implies that her father is not in town. Similarly, if Arpita has abstained from college but she has not gone to her uncle's house, it also means that her father is not in town. Therefore, both statements (1) and (3) above logically follow the main statement.

8. Directions for questions 1 to 6: Each question has a main statement followed by four statements labeled A,B,C and D. Choose the ordered pair of statements where the first statement implies the second, and the two statements are logically consistent with the main statement. Either the computer mouse is made by Logitech, or it is made by HP. (A) The computer mouse is made by Logitech (B) The computer mouse is not made by HP (C) The computer mouse is not made by Logitech (D) The computer mouse is made by HP

AB

BA

DC

AD

The main statement states that the computer mouse is either Logitech or HP. Statement B implies statement A because if the mouse is not HP-made, then it must be Logitech-made. Therefore, statement BA is logically consistent with the main statement.

Explanation

The main statement states that the computer mouse is either Logitech or HP. Statement B implies statement A because if the mouse is not HP-made, then it must be Logitech-made. Therefore, statement BA is logically consistent with the main statement.

9. Directions for questions 1 to 6: Each question has a main statement followed by four statements labeled A,B,C and D. Choose the ordered pair of statements where the first statement implies the second, and the two statements are logically consistent with the main statement. Either the state is reeling under drought, or it is affected by a famine. (A) The state is reeling under drought. (B) The state is affected by famine. (C) The state is not reeling under drought. (D) The state is affected by famine.

AD

BA

DC

CB

The main statement states that either the state is reeling under drought or it is affected by a famine. Statement C states that the state is not reeling under drought, which implies that the state is affected by a famine. Statement B states that the state is affected by famine, which is consistent with the main statement. Therefore, the ordered pair CB is the correct answer.

Explanation

The main statement states that either the state is reeling under drought or it is affected by a famine. Statement C states that the state is not reeling under drought, which implies that the state is affected by a famine. Statement B states that the state is affected by famine, which is consistent with the main statement. Therefore, the ordered pair CB is the correct answer.

10. Directions for questions 1 to 6: Each question has a main statement followed by four statements labeled A,B,C and D. Choose the ordered pair of statements where the first statement implies the second, and the two statements are logically consistent with the main statement. If the leviathan is big then the dinosaur is gentle. (A) The leviathan is big. (B) The leviathan is not big. (C) The dinosaur is gentle. (D) The dinosaur is not gentle.

CD

BA

BC

DB

The main statement states that if the leviathan is big, then the dinosaur is gentle. The ordered pair of statements (D) The dinosaur is not gentle and (B) The leviathan is not big is logically consistent with the main statement. This is because if the leviathan is not big, then the condition of the main statement is not met, and therefore, the second statement (the dinosaur is gentle) can be either true or false. In this case, it is consistent with the main statement for the dinosaur not to be gentle.

Explanation

The main statement states that if the leviathan is big, then the dinosaur is gentle. The ordered pair of statements (D) The dinosaur is not gentle and (B) The leviathan is not big is logically consistent with the main statement. This is because if the leviathan is not big, then the condition of the main statement is not met, and therefore, the second statement (the dinosaur is gentle) can be either true or false. In this case, it is consistent with the main statement for the dinosaur not to be gentle.

Statement And Conclusions - Quiz