# Deductive Reasoning Quiz Set 009

### Question 1

1. All cubs are animals.
2. Some cubs are dogs.
3. Female animals lay eggs.

If the first three statements are facts, which of the following statements must also be a fact?

1. All animals lay eggs.
2. Some dogs are animals.
3. Some cubs are not dogs.
A

I only.

B

II only.

C

II and III only.

D

None.

Soln.
Ans: c

The first statement cannot be true because only female animals lay eggs. Because some dogs are cubs and all cubs are animals, we can say some dogs are animals[II is true]. Similarly, it is given that some cubs are dogs, then some must not be dogs[III is true].

### Question 2

1. Phone A lasts longer than Phone B.
2. Phone B doesn't last as long as Phone C.
3. Phone C lasts longer than Phone A.

If the first two statements are true, the third statement is.

A

true.

B

false.

C

uncertain.

D

none.

Soln.
Ans: c

The first two statements indicate that Phone B lasts the least amount of time, but it cannot be determined if Phone C lasts longer than Phone A.

### Question 3

1. A is to the East of D.
2. B is to the North of C.
3. A, B, C and D are arranged in the same cyclic order.

If the first two statements are true, the third statement is:

A

true.

B

false.

C

uncertain.

D

None.

Soln.
Ans: c

At first study you might have drawn a figure like this.

```  B
D---A
C
```

But this is also possible.

```
D---A---B
C
```

### Question 4

1. Raman has four cars.
2. Two of the cars are blue.
3. One of the cars is a minivan.

If the first three statements are facts, which of the following statements must also be a fact?

1. Raman has a blue minivan.
2. Raman has three cars.
3. Raman's favorite color is blue.
A

I only.

B

II only.

C

II and III only.

D

None.

Soln.
Ans: d

There is not enough information to support any of the statements. Raman is known to have a minivan, but it is not known which of his car is blue. There is no way to know if Raman's favorite color is blue.

### Question 5

1. Chandigarh is north of Mohali.
2. Mohali is east of Panchkula.
3. Panchkula is northwest of Chandigarh.

If the first two statements are true, the third statement is.

A

true.

B

false.

C

uncertain.

D

none.

Soln.
Ans: b

Because the first two statements are true, Panchkula is west of Mohali and southwest of Chandigarh. Therefore, the third statement is false.