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Logical Problems Questions

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Select the option, which is the logical equivalent of the given statement:
If you are carrying a suitcase, then you are going to the railway station.


AIf you are not carrying a suitcase, then you are not going to the railway station.

BIf you are carrying a bag, then you are not going to the railway station.

CIf you are not going to the railway station, then you are not carrying a suitcase.

DNone of the above.

Answer: Option C

Explanation:

If you are not going to the railway station, then you are not carrying a suitcase.

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On a particular day A and B decide that they would either speak the truth or will lie. C asks A whether he is speaking truth or lying? He answers and B listens to what he said. C then asks B what A has said B says "A says that he is a liar" What isB speaking?


ATruth 

BLie 

CTruth when A lies

DCannot be determined

Answer: Option B

Explanation:

Here is no explanation for this answer

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Players a to z play a league match in which every player plays a match against every other player. A win earns 2 points, a draw 1 point and loss 0 points. There were no draws, and no two players had the same total points. The rank list of the players happens to be the alphabetical list itself.

Which of the following statement is true?


An wins over m

B m wins over n

Cm did not play against n

D None

Answer: Option B

Explanation:

Here is no explanation for this answer

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This question consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain. Choose the correct option.

Middletown is north of Centerville.
Centerville is east of Penfield.
Penfield is northwest of Middletown.
If the first two statements are true, the third statement is


ATrue

BFalse

CUncertain

Answer: Option B

Explanation:

Because the first two statements are true, Penfield is west of Centerville and southwest of Middletown. Therefore, the third statement is false.

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This question consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain. Choose the correct option.

All spotted Gangles have long tails.
Short-haired Gangles always have short tails.
Long-tailed Gangles never have short hair.
If the first two statements are true, the third statement is


ATrue

BFalse

CUncertain

Answer: Option C

Explanation:

We know only that long-tailed Gangles have spots. We cannot know for certain if long-tailed Gangles also have short hair.

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This question consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain. Choose the correct option.

All Lamels are Signots with buttons.
No yellow Signots have buttons.
No Lamels are yellow.
If the first two statements are true, the third statement is


ATrue

BFalse

CUncertain

Answer: Option A

Explanation:

We know that there are Signots with buttons, or Lamels, and that there are yellow Signots, which have no buttons. Therefore, Lamels do not have buttons and cannot be yellow.

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This question consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain. Choose the correct option.

The hotel is two blocks east of the drugstore.
The market is one block west of the hotel.
The drugstore is west of the market.
If the first two statements are true, the third statement is


ATrue

BFalse

CUncertain

Answer: Option A

Explanation:

The market is one block west of the hotel. The drugstore is two blocks west of the hotel, so the drugstore is west of the market.

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This question consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain. Choose the correct option.

A toothpick is useful.
Useful things are valuable.
A toothpick is valuable.
If the first two statements are true, the third statement is


ATrue

BFalse

CUncertain

Answer: Option A

Explanation:

To the extent that a toothpick is useful, it has value.

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This question consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain. Choose the correct option.

Mara runs faster than Gail.
Lily runs faster than Mara.
Gail runs faster than Lily.
If the first two statements are true, the third statement is


ATrue

BFalse

CUncertain

Answer: Option B

Explanation:

We know from the first two statements that Lily runs fastest. Therefore, the third statement must be false.

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This question consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain. Choose the correct option.

Apartments in the Riverdale Manor cost less than apartments in The Gaslight Commons.
Apartments in the Livingston Gate cost more than apartments in the The Gaslight Commons.
Of the three apartment buildings, the Livingston Gate costs the most.
If the first two statements are true, the third statement is


ATrue

BFalse

CUncertain

Answer: Option A

Explanation:

Since the Gaslight Commons costs more than the Riverdale Manor and the Livingston Gate costs more than the Gaslight Commons, it is true that the Livingston Gate costs the most.

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