P: Arjun is the fastest. Q: Azad is the captain. denotes the statement "Arjun is the fastest OR Azad is not the captain"

P \land \sim Q

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P \land Q

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P \lor Q

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P \lor \sim Q

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Solution

The correct option is D $P \lor \sim Q$
The connective used in the compound statement is OR which is denoted by the symbol ' $\lor$ '. Also, the second simple statement Q is negated. Hence the denotation is given by $P \lor \sim Q$ .

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Similar questions

If p: Arjun is the fastest q: Azad is the captain. Then which of the following denotes the compound statement: "Arjun is the fastest OR Azad is not the captain”

Q. If p: Ridhi did not eat lunch q: Azad did not have lunch. Then which of the following denotes the compound statement: "Both Ridhi and Azad did not have lunch.”

Directions:- Study the following information carefully to answer the question given below.

P, Q, R, S, T, V, W and X are captains of eight different cricket teams namely Australia, New Zealand, India, Pakistan, Sri-Lanka, England, West Indies and South Africa, but not necessarily in the same order. All of them are seated around a circular table and are facing the centre.
P is sitting third to the left of the Sri Lankan captain. Only two people sit between T and W. Neither T nor W is an immediate neighbour of P. Neither T nor W is the captain of Sri Lanka. The captain of South Africa sits second to the right of S. S is not an immediate neighbour of P. S is not the Sri Lankan captain and P is not the captain of South Africa. The Australian captain sits third to the left of V. Australian and Sri Lankan captains are not immediate neighbours of each other. Only one person sits between S and the Indian captain. Captains of Pakistan and New Zealand are immediate neighbours of each other. S is not the captain of New Zealand's team. Only one person sits between Q and the captain of England. The captain of England is the immediate neighbour of X. W and Q are not the immediate neighbours of each other.

Who amongst the following is the captain of the Australian team?

Q. Directions:- Study the following information carefully to answer the question given below.

P, Q, R, S, T, V, W and X are captains of eight different cricket teams namely Australia, New Zealand, India, Pakistan, Sri-Lanka, England, West Indies and South Africa, but not necessarily in the same order. All of them are seated around a circular table and are facing the centre.
P is sitting third to the left of the Sri Lankan captain. Only two people sit between T and W. Neither T nor W is an immediate neighbour of P. Neither T nor W is the captain of Sri Lanka. The captain of South Africa sits second to the right of S. S is not an immediate neighbour of P. S is not the Sri Lankan captain and P is not the captain of South Africa. The Australian captain sits third to the left of V. Australian and Sri Lankan captains are not immediate neighbours of each other. Only one person sits between S and the Indian captain. Captains of Pakistan and New Zealand are immediate neighbours of each other. S is not the captain of New Zealand's team. Only one person sits between Q and the captain of England. The captain of England is the immediate neighbour of X. W and Q are not the immediate neighbours of each other.

How many people sit between T and the captain of England when counted in clockwise direction from T?

Directions:- Study the following information carefully to answer the question given below.

P, Q, R, S, T, V, W and X are captains of eight different cricket teams namely Australia, New Zealand, India, Pakistan, Sri-Lanka, England, West Indies and South Africa, but not necessarily in the same order. All of them are seated around a circular table and are facing the centre.
P is sitting third to the left of the Sri Lankan captain. Only two people sit between T and W. Neither T nor W is an immediate neighbour of P. Neither T nor W is the captain of Sri Lanka. The captain of South Africa sits second to the right of S. S is not an immediate neighbour of P. S is not the Sri Lankan captain and P is not the captain of South Africa. The Australian captain sits third to the left of V. Australian and Sri Lankan captains are not immediate neighbours of each other. Only one person sits between S and the Indian captain. Captains of Pakistan and New Zealand are immediate neighbours of each other. S is not the captain of New Zealand's team. Only one person sits between Q and the captain of England. The captain of England is the immediate neighbour of X. W and Q are not the immediate neighbours of each other.

Which of the following is true with respect to the given seating arrangement?

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P: Arjun is the fastest. Q: Azad is the captain. denotes the statement "Arjun is the fastest OR Azad is not the captain"

The correct option is D P∨∼QThe connective used in the compound statement is OR which is denoted by the symbol '∨'. Also, the second simple statement Q is negated. Hence the denotation is given by P∨∼Q.

The correct option is D $P \lor \sim Q$
The connective used in the compound statement is OR which is denoted by the symbol ' $\lor$ '. Also, the second simple statement Q is negated. Hence the denotation is given by $P \lor \sim Q$ .