Question 1

Tanya is older than Eric. Cliff is older than Tanya. Eric is older than Cliff. If the first two statements are true, the third statement is

Accepted Answer

Because the first two statements are true, Eric is the youngest of the three, so the third statement must be false.

Question 2

Blueberries cost more than strawberries. Blueberries cost less than raspberries. Raspberries cost more than strawberries and blueberries. If the first two statements are true, the third statement is

Accepted Answer

Because the first two statements are true, raspberries are the most expensive of the three.

Question 3

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

Accepted Answer

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

Question 4

Mara runs faster than Gail. Lily runs faster than Mara. Gail runs faster than Lily. If the first two statements are true, the third statement is

Accepted Answer

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

Question 5

Apartments in the Riverdale Manor cost less than apartments in The Gaslight Commons. Apartments in the Livingston Gate cost more than apartments in the The Gaslight Commons. Of the three apartment buildings, the Livingston Gate costs the most. If th…

Accepted Answer

Since the Gaslight Commons costs more than the Riverdale Manor and the Livingston Gate costs more than the Gaslight Commons, it is true that the Livingston Gate costs the most.

Question 6

The Kingston Mall has more stores than the Galleria. The Four Corners Mall has fewer stores than the Galleria. The Kingston Mall has more stores than the Four Corners Mall. If the first two statements are true, the third statement is

Accepted Answer

From the first two statements, you know that the Kingston Mall has the most stores, so the Kingston Mall would have more stores than the Four Corners Mall.

Question 7

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

Accepted Answer

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

Question 8

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

Accepted Answer

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.

Question 9

Rover weighs less than Fido. Rover weighs more than Boomer. Of the three dogs, Boomer weighs the least. If the first two statements are true, the third statement is

Accepted Answer

According to the first two statements, Fido weighs the most and Boomer weighs the least.

Question 10

All the offices on the 9th floor have wall-to-wall carpeting. No wall-to-wall carpeting is pink. None of the offices on the 9th floor has pink wall-to-wall carpeting. If the first two statements are true, the third statement is

Accepted Answer

If no wall-to-wall carpeting is pink and all the offices have wall-to-wall carpeting, none of the offices has pink wall-to-wall carpeting.

Question 11

Class A has a higher enrollment than Class B. Class C has a lower enrollment than Class B. Class A has a lower enrollment than Class C. If the first two statements are true, the third statement is

Accepted Answer

From the first two statements, we know that of the three classes, Class A has the highest enrollment, so the third statement must be false.

Question 12

A fruit basket contains more apples than lemons. There are more lemons in the basket than there are oranges. The basket contains more apples than oranges. If the first two statements are true, the third statement is

Accepted Answer

There are fewer oranges than either apples or lemons, so the statement is true. Easy method: (Try this method to solve without any confusion) 1. A fruit basket contains more apples than lemons = App > Lem 2. There are more lemons in the basket than there are oranges = Lem > Org Now, Combine the above two results: App > Lem > Org 3. The basket contains more apples than oranges (App > ... > Org) = Yes. Therefore, the given 3rd statement is true.

Question 13

The Shop and Save Grocery is south of Greenwood Pharmacy. Rebecca's house is northeast of Greenwood Pharmacy. Rebecca's house is west of the Shop and Save Grocery. If the first two statements are true, the third statement is

Accepted Answer

Because the first two statements are true, Rebecca's house is also northeast of the Shop and Save Grocery, which means that the third statement is false.

Question 14

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

Accepted Answer

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

Question 15

On the day the Barton triplets are born, Jenna weighs more than Jason. Jason weighs less than Jasmine. Of the three babies, Jasmine weighs the most. If the first two statements are true, the third statement is

Accepted Answer

We only know that Jasmine weighs more than Jason. There is no way to tell whether Jasmine also weighs more than Jenna.

Question 16

The temperature on Monday was lower than on Tuesday. The temperature on Wednesday was lower than on Tuesday. The temperature on Monday was higher than on Wednesday If the first two statements are true, the third statement is

Accepted Answer

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

Question 17

Oat cereal has more fiber than corn cereal but less fiber than bran cereal. Corn cereal has more fiber than rice cereal but less fiber than wheat cereal. Of the three kinds of cereal, rice cereal has the least amount of fiber. If the first two state…

Accepted Answer

From the first statement, we know that bran cereal has more fiber than both oat cereal and corn cereal. From the second statement, we know that rice cereal has less fiber than both corn and wheat cereals. Therefore, rice cereal has the least amount of fiber.

Question 18

Martina is sitting in the desk behind Jerome. Jerome is sitting in the desk behind Bryant. Bryant is sitting in the desk behind Martina. If the first two statements are true, the third statement is

Accepted Answer

Given the information in the first two statements, Bryant is sitting in front of both Jerome and Martina, so the third statement must be false.

Question 19

Battery X lasts longer than Battery Y. Battery Y doesn't last as long as Battery Z. Battery Z lasts longer than Battery X. If the first two statements are true, the third statement is

Accepted Answer

The first two statements indicate that Battery Y lasts the least amount of time, but it cannot be determined if Battery Z lasts longer than Battery X.

Question 20

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

Accepted Answer

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

Logical Problems Questions