Logical Problems - Type 2 (2)

Directions to Solve

Each problem consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain.

Fact 1:	All chickens are birds.
Fact 2:	Some chickens are hens.
Fact 3:	Female birds lay eggs.

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

I:	All birds lay eggs.
II:	Some Hens are birds.
III:	Some chickens are not hens.

A.	I only
B.	II only
C.	II and III only
D.	None of the statements is a known fact.

Answer: Option C

Explanation:

The first statement cannot be true because only female birds lay eggs. Statement II is true because some hens are chickens and all chickens are birds. Statement III is also true because if only some chickens are hens, then some must not be hens.

10.

Fact 1:	All drink mixes are beverages.
Fact 2:	All beverages are drinkable.
Fact 3:	Some beverages are red.

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

I:	Some drink mixes are red.
II:	All beverages are drink mixes.
III:	All red drink mixes are drinkable.

A.	I and II only
B.	II only
C.	I and III only
D.	III only
E.	None of the statements is a known fact.

Answer: Option D

Explanation:

No answer description available for this question. Let us discuss.

11.

Fact 1:	Jessica has four children
Fact 2:	Two of the children have blue eyes and two of the children have brown eyes.
Fact 3:	Half of the children are girls.

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

I:	At least one girl has blue eyes.
II:	Two of the children are boys.
III:	The boys have brown eyes.

A.	I only
B.	II only
C.	II and III only
D.	None of the statements is a known fact

Answer: Option B

Explanation:

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

12.

Fact 1:	All dogs like to run.
Fact 2:	Some dogs like to swim.
Fact 3:	Some dogs look like their masters.

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

I:	All dogs who like to swim look like their masters.
II:	Dogs who like to swim also like to run.
III:	Dogs who like to run do not look like their masters.

A.	I only
B.	II only
C.	II and III only
D.	None of the statements is a known fact.

Answer: Option B

Explanation:

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

13.

A jar of jelly beans contains more red beans than green.
There are more yellow beans than red.
The jar contains fewer yellow jelly beans than green ones.
If the first two statements are true, the third statement is

A.	true
B.	false
C.	uncertain

Answer: Option B

Explanation:

The first two statements indicate there are more yellow jelly beans than red and green.

14.

The bookstore has a better selection of postcards than the newsstand does.
The selection of postcards at the drugstore is better than at the bookstore.
The drugstore has a better selection of postcards than the bookstore or the newsstand.
If the first two statements are true, the third statement is

A.	true
B.	false
C.	uncertain

Answer: Option A

Explanation:

Of the three, the drugstore has the best selection of postcards.

15.

At a parking lot, a sedan is parked to the right of a pickup and to the left of a sport utility vehicle.
A minivan is parked to the left of the pickup.
The minivan is parked between the pickup and the sedan.
If the first two statements are true, the third statement is

A.	true
B.	false
C.	uncertain

Answer: Option B

Explanation:

This is the order of the cars from left to right: minivan, pickup, sedan, sport utility vehicle.

16.

Cloudy days tend to be more windy than sunny days.
Foggy days tend to be less windy than cloudy days.
Sunny days tend to be less windy than foggy days.
If the first two statements are true, the third statement is

A.	true
B.	false
C.	uncertain

Answer: Option C

Explanation:

Cloudy days are the most windy, but there is not enough information to compare the wind on the foggy days with the wind on the sunny days.

Logical Problems - Type 2 (2)

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