Practice MCQ Questions and Answer on Logical Problems

11.

If the first two statements are true, the third statement is :
I. During the past year, Josh saw more movies than Stephen.
II. Stephen saw fewer movies than Darren.
III. Darren saw more movies than Josh.

(A) true
(B) false
(C) uncertain
(D)

Solution:

 Because the first two sentences are true, both Josh and Darren saw more movies than Stephen. However, it is uncertain as to whether Darren saw more movies than Josh.

12.

Fact 1: Some pens don't write.
Fact 2: All blue pens write.
Fact 3: Some writing utensils are pens.

If the first three statements are facts, which of the following statements must also be a fact?
I: Some writing utensils don't write.
II: Some writing utensils are blue.
III: Some blue writing utensils don't write.

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

Solution:

 Since some pens don't write, some writing utensils don't write (statement I). Since there are blue pens and since pens are writing utensils, some writing utensils are blue (statement II). There is not enough information to support statement III.

13.

If the first two statements are true, the third statement is :
I. The hotel is two blocks east of the drugstore.
II. The market is one block west of the hotel.
III.The drugstore is west of the market.

(A) true
(B) false
(C) uncertain
(D)

Solution:

 The market is one block west of the hotel. The drugstore is two blocks west of the hotel, so the drugstore is west of the market.

14.

If the first two statements are true, the third statement is :
I. Joe is younger than Kathy.
II. Mark was born after Joe.
III. Kathy is older than Mark.

(A) true
(B) false
(C) uncertain
(D)

Solution:

 Joe is younger than Kathy and older than Mark, so Mark must be younger than Kathy.

15.

If the first two statements are true, the third statement is :
I. Spot is bigger than King and smaller than Sugar.
II. Ralph is smaller than Sugar and bigger than Spot.
III. King is bigger than Ralph.

(A) true
(B) false
(C) uncertain
(D)

Solution:

 Spot is bigger than King, and Ralph is bigger than Spot. Therefore, King must be smaller than Ralph.

16.

At the baseball game, Henry was sitting in seat 253. Marla was sitting to the right of Henry in seat 254. In the seat to the left of Henry was George. Inez was sitting to the left of George. Which seat is Inez sitting in?

(A) 251
(B) 254
(C) 255
(D) 256

Solution:

 If George is sitting at Henry's left, George's seat is 252. The next seat to the left, then, is 251.

17.

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

Solution:

 Drink mixes may or may not be red, so option I is not a fact. All drink mixes are beverages but beverages can also be other than drink mixes, option II is also not a fact. Because all drink mixes are beverages and all beverages are drinkable, therefore all red drink mixes will be drinkable. Option III is a fact.

18.

Fact 1: All hats have brims.
Fact 2: There are black hats and blue hats.
Fact 3: Baseball caps are hats.

If the first three statements are facts, which of the following statements must also be a fact?
I: All caps have brims.
II: Some baseball caps are blue.
III: Baseball caps have no brims.

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

Solution:

 All baseball caps have brims, since baseball caps are hats (Fact 3) and all hats have brims (Fact 1). This rules out statement III, but it doesn't follow that all caps, a category that may include caps that are not baseball caps, have brims (statement I). Statement II cannot be confirmed, either, since it is possible, given the information, that all baseball caps are black.

19.

If the first two statements are true, the third statement is :
I. All the trees in the park are flowering trees.
II. Some of the trees in the park are dogwoods.
III. All dogwoods in the park are flowering trees.

(A) true
(B) false
(C) uncertain
(D)

Solution:

 All of the trees in the park are flowering trees, So all dogwoods in the park are flowering trees.

20.

If the first two statements are true, the third statement is :
I. All the tulips in Zoe's garden are white.
II. All the pansies in Zoe's garden are yellow.
III. All the flowers in Zoe's garden are either white or yellow.

(A) true
(B) false
(C) uncertain
(D)

Solution:

 The first two statements give information about Zoe's tulips and pansies. Information about any other kinds of flowers cannot be determined.

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Practice MCQ Questions and Answer on Logical Problems

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