# Deductive Reasoning Quiz Set 006

### Question 1

1. Soniya has four children.
2. Two of the children have grey eyes and two of the children have black eyes.
3. Half of the children are girls.

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

1. At least one girl has grey eyes.
2. Two of the children are boys.
3. The boys have black eyes.
A

I only.

B

II only.

C

II and III only.

D

None.

Soln.
Ans: b

Since one-half of the four children are girls, two must be boys. It is not clear which children have grey or black eyes.

### Question 2

1. The Chemist Shop is south of Karyana Shop.
2. Gagan's house is northeast of Karyana Shop.
3. Gagan's house is west of the Chemist Shop.

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, Gagan's house is also northeast of the Chemist Shop, which means that the third statement is false.

### Question 3

1. Tanvi is older than Palvi.
2. Arsh is older than Tanvi.
3. Palvi is older than Arsh.

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, Palvi is the youngest of the three, so the third statement must be false.

### Question 4

1. Sanjay is taller than Kamal and shorter than Shannu.
2. Ram is shorter than Shannu and taller than Sanjay.
3. Kamal is taller than Ram.

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

A

true.

B

false.

C

uncertain.

D

none.

Soln.
Ans: b

Sanjay is taller than Kamal, and Ram is taller than Sanjay. Therefore, Kamal must be shorter than Ram.

### Question 5

1. Most stuffed bags are stuffed with sand.
2. There are stuffed cats and stuffed dogs.
3. Some mats are stuffed with sand.

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

1. Only mats are stuffed with sand.
2. All stuffed dogs are stuffed with sand.
3. Stuffed cats are not stuffed with sand.
A

I only.

B

II only.

C

II and III only.

D

None.

Soln.
Ans: d

The given statements are a garbage with no links to each other.