# Deductive Reasoning Quiz Set 001

### Question 1

1. Rainy days tend to be more humid than snowfall days.
2. Dusty days tend to be less humid than rainy days.
3. Snowfall days tend to be less humid than dusty days.

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

A

true.

B

false.

C

uncertain.

D

none.

Soln.
Ans: c

Rainy days are the most humid, but there is not enough information to compare the wind on the dusty days with the wind on the Snowfall days.

Rainy > Snowfall, and Rainy > Dusty, so we can't compare Snowfall and Dusty days.

### Question 2

1. An even number is divisible by 3.
2. An odd number is divisible by 2.
3. No even number is odd.

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

A

true.

B

false.

C

uncertain.

D

None.

Soln.
Ans: b

Translation into correct language -

1. Multiples of 3 are divisible by 3.
2. Even numbers are divisible by 2.
3. We have to test: No multiple of 3 is even. This is false because 6 is a multiple of 3, and even also.

### Question 3

1. Some pencils don't write.
2. All green pencils write.
3. Some writing instruments are pencils.

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

1. Some writing instruments don't write.
2. Some writing instruments are green.
3. Some green writing instruments don't write.
A

I only.

B

I and II only.

C

II and III only.

D

None.

Soln.
Ans: b

Since some pencils don't write, some writing instruments don't write. Since there are green pencils and since pencils are writing instruments, some writing instruments are green.

What about the option "II and III only"? We can see from above that I has to be correct. It is not included in this option. So this option can be rejected.

### Question 4

1. 6 pencils and 4 rulers cost 16 rupees.
2. 3 pencils and 2 rulers cost 8 rupees.
3. 4 pencils and 6 rulers cost 24 rupees.

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

A

true.

B

false.

C

uncertain.

D

None.

Soln.
Ans: c

We cannot calculate the price of one pencil and one ruler from the statements 1 and 2, so nothing can be said about the 3rd statement.

### Question 5

1. The humidity on Monday was lower than on Tuesday.
2. The humidity on Wednesday was lower than on Tuesday.
3. The humidity on Monday was higher than on Wednesday.

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

A

true.

B

false.

C

uncertain.

D

none.

Soln.
Ans: c

We know from the first two statements that Tuesday had the highest humidity, but we cannot know whether Monday's humidity was higher than Tuesday's.

Updated on 2020-02-07. Published on: 2016-04-03

Posted by Parveen(Hoven),
Aptitude Trainer