# Deductive Reasoning Quiz Set 002

### Question 1

1. Gold has more carbon than silver but less carbon than copper.
2. Silver has more carbon than zinc but less carbon than copper.
3. Of the three kinds of elements, zinc has the least amount of carbon.

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

A

true.

B

false.

C

uncertain.

D

none.

Soln.
Ans: a

From the first statement, we know that copper has more carbon than both gold and silver. From the second statement, we know that zinc has less carbon than both gold and silver. Therefore, zinc has the least amount of carbon.

### Question 2

1. All bulls like to run.
2. Some bulls like to swim.
3. Some bulls look like their masters.

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

1. All bulls who like to swim look like their masters.
2. Bulls who like to swim also like to run.
3. Bulls who like to run do not look like their masters.
A

I only.

B

II only.

C

II and III only.

D

None.

Soln.
Ans: b

Statement II is the only true statement. Since all bulls like to run, then the ones who like to swim also like to run. There is no support for statement I or statement III.

### Question 3

1. Manpreet runs faster than Geeta.
2. Lalita runs faster than Manpreet.
3. Geeta runs faster than Lalita.

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

A

true.

B

false.

C

uncertain.

D

none.

Soln.
Ans: b

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

### Question 4

1. Mohit said, "Arsh and I both have dogs."
2. Arsh said, "I don't have a dog."
3. Mohit always tells the truth, but Arsh sometimes lies.

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

1. Arsh has a dog.
2. Mohit has a dog.
3. Arsh is lying.
A

I only.

B

II only.

C

II and III only.

D

I, II and III all of them.

Soln.
Ans: d

If Mohit always tells the truth, then both Arsh and Mohit have dogs, and Arsh is lying.

### Question 5

1. Taking the taxi across town is quicker than taking the cart.
2. Taking the cart across town is slower than driving a cycle.
3. Taking the taxi across town is quicker than driving a cycle.

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

A

true.

B

false.

C

uncertain.

D

none.

Soln.
Ans: c

Both the cycle and the taxi are quicker than the cart, but there is no way to make a comparison between the taxi and the cycle.

Taxi > Cart and Cart < Cycle, no relation between Cycle and Cart.