Probably False

1. Directions for question 3: These questions are based on the following data. Seven men, A, B, C, D, E, F and G have parked their car in a row. The cars of E and F should be next to each other. The cars of D and G should be parked next to each other. Whereas A and B cannot park their cars next to each other. But B and D must park their cars next to each other and C's car is parked to the immediate right of G's car. If E parks his car to the left of F, then which of the following statements must be false?

B and G have only two persons between them.

B and C do not sit together.

D and C have only G between them.

A is at the left extreme end.

If E parks his car to the left of F, then B and G cannot have only two persons between them. This is because B and D must park their cars next to each other, and if B is next to D, then there would be three persons (B, D, and G) between B and G. Therefore, the statement "B and G have only two persons between them" must be false.

Explanation

If E parks his car to the left of F, then B and G cannot have only two persons between them. This is because B and D must park their cars next to each other, and if B is next to D, then there would be three persons (B, D, and G) between B and G. Therefore, the statement "B and G have only two persons between them" must be false.

2. Directions : These questions are based on the following data. Between two persons, A and B, there is one apple and one banana. When I asked them as to who among them had the apple, they gave two statements each in reply. A: B has the apple. B has the banana. B: A doesn't have the banana. A has the apple. It is known that at least one of A and B tells at least one fale statement. If it is known that each of A and B tells at least one true statement, then which of the following statements must be true?

All the four statements given by both A and B are true

Both the statements given by exactly one person out of A and B must be true

Each of A and B tells at least one false statement

B has the banana as well as the apple with him.

If both A and B tell the truth, then A's statement that B has the apple and B's statement that A has the apple would both be true, which contradicts the fact that at least one of them tells a false statement. Therefore, both A and B cannot be telling the truth. Since it is known that each of them tells at least one true statement, it means that one of them is telling the truth and the other is lying. Therefore, the statement "Both the statements given by exactly one person out of A and B must be true" must be true.

Explanation

If both A and B tell the truth, then A's statement that B has the apple and B's statement that A has the apple would both be true, which contradicts the fact that at least one of them tells a false statement. Therefore, both A and B cannot be telling the truth. Since it is known that each of them tells at least one true statement, it means that one of them is telling the truth and the other is lying. Therefore, the statement "Both the statements given by exactly one person out of A and B must be true" must be true.

3. Directions for question 5: Select the correct alternative from the given choices. Of the three cars – Ikon, Corsa and Esteem, Corsa is costlier than Ikon and gives more mileage than Esteem. Ikon is cheaper than exactly one other car. Esteem gives less mileage than Ikon. Which of the statements is not true?

Corsa is the costliest.

Esteem gives the least mileage.

Ikon gives the maximum mileage.

Esteem is the cheapest.

The statement "Ikon gives the maximum mileage" is not true because it is mentioned in the question that Corsa gives more mileage than Esteem. Therefore, Corsa gives the maximum mileage, not Ikon.

Explanation

The statement "Ikon gives the maximum mileage" is not true because it is mentioned in the question that Corsa gives more mileage than Esteem. Therefore, Corsa gives the maximum mileage, not Ikon.

4. Directions for question 2: Read the data given below carefully and answer the questions that follow. M, N, O, P, Q, R and S are seven persons sitting in a row for a photo session. O sits to the immediate left of S and R is to the immediate right of P.N has equal number of persons on either side of him in the row. M is to the immediate left of N and there are exactly three persons between M and S. If P and Q exchange their places in the row, which of the following must be false?

Q is the left of N.

M and O have two persons between them.

P and R sit together.

S is at one of the extreme ends.

If P and Q exchange their places in the row, it means that Q will be to the immediate right of P. However, according to the given information, R is to the immediate right of P. Therefore, if P and Q exchange their places, it would be false to say that P and R sit together.

Explanation

If P and Q exchange their places in the row, it means that Q will be to the immediate right of P. However, according to the given information, R is to the immediate right of P. Therefore, if P and Q exchange their places, it would be false to say that P and R sit together.

5. Directions: Five pens P,Q,R,S and T are of five different colours, taken from the six colours red, green, blue, yellow, white and orange. R and S are of the same cost. P is of green colour and T is not a pen of red colour. Q is costlier than the pen which is of green colour and cheaper than the pen which is of yellow colour whereas yellow coloured pen is cheaper than the white coloured pen. S is of white colour and T is the costliest of all the pens. Which of the following must be FALSE?

The colour of pen Q is red or blue or orange.

The cheapest pen is P.

The colour of pen T is blue or orange or yellow.

Pen R must be costlier than pen P.Pen R must be costlier than pen P.

The given information states that pen T is the costliest of all the pens. Therefore, it cannot be blue or orange or yellow, making the statement false.

Explanation

The given information states that pen T is the costliest of all the pens. Therefore, it cannot be blue or orange or yellow, making the statement false.

6. Directions for question 6 :These questions are based on the following data. In the Mini – World Cup, played at Bulawayo, five cricket teams viz. Australia, South Africa, India, New Zealand and Pakistan participated in the tournament. Each team has to play exactly one match with each of the other teams. If a team wins a match, it is awarded 2 points and gets no points for losing a match. In case a match is a tie, then each of the two teams playing the match would be awarded 1 point. None of the matches scheduled were abandoned. After the tournament was over, it was known that the total sum of the points scored by some pairs of two teams is as follows: (i) Australia + India = 12 ; (ii) India + South Africa = 11 ; (iii) New Zealand + India = 10 ; (iv) India + Pakistan = 8. Also, it is known that there were two ties in the tournament. Which of the following statements must be true?

Australia won against Pakistan

India won against Pakistan

South Africa won against Pakistan

New Zealand won against Pakistan

Based on the given information, we know that India + Pakistan = 8. Since India won against Pakistan, India would have been awarded 2 points, leaving Pakistan with 6 points. Since there were only two ties in the tournament, the remaining points for Pakistan would have come from losing matches. Therefore, Pakistan must have lost all of their matches. Since South Africa won against Pakistan, it is true to say that South Africa won against Pakistan.

Explanation

Based on the given information, we know that India + Pakistan = 8. Since India won against Pakistan, India would have been awarded 2 points, leaving Pakistan with 6 points. Since there were only two ties in the tournament, the remaining points for Pakistan would have come from losing matches. Therefore, Pakistan must have lost all of their matches. Since South Africa won against Pakistan, it is true to say that South Africa won against Pakistan.

7. Directions for questions 7 and 8: These questions are based on the following data. Between two persons, A and B, there is one apple and one banana. When I asked them as to who among them had the apple, they gave two statements each in reply. A: B has the apple. B has the banana. B: A doesn't have the banana. A has the apple. It is known that at least one of A and B tells at least one false statement. Directionsfor questions 7and8: These questions are based on the following data.

Each of A and B tells at least one true statement

At least one of A and B tells at least one true statement

Neither A nor B tells at least one true statement

Both A and B tells at least one true and at least one false statement

At least one of A and B tells at least one true statement because if both A and B were telling only false statements, then one of them would have the apple and the other would have the banana, which contradicts the given statements. Therefore, it can be concluded that at least one of them is telling the truth.

Explanation

At least one of A and B tells at least one true statement because if both A and B were telling only false statements, then one of them would have the apple and the other would have the banana, which contradicts the given statements. Therefore, it can be concluded that at least one of them is telling the truth.

8. Directions for question 4: Select the correct alternative from the given choices. Mr. Adventurous was moving about in a jungle, when he was caught by the cannibals and was taken to their king. The king said "I will give you a chance to make a statement. If it is true, you will be burned at the stake. If it is false, you'll be boiled in oil". The statement which can save him is.

I will be boiled at the stake.

I will not be boiled in oil.

I will be boiled in oil.

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Explanation

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