Logical Problems

Explanation/ Important formulas:

Instruction:

  • The logic problems in this set present you with three true statements: Fact 1, Fact 2, and Fact 3. Then, you are given three more statements and you must determine which of these, if any, a fact is also.
  • One or two of the statements could be true; all of the statements could be true; or none of the statements could be true.
  • Choose your answer based solely on the information given in the first three facts.

Instructions to take Aptitude Test

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Click on the option (A, B, C or D) to figure out the right answer.
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On click of END your test will end.
On click of ‘Get Results’ you will get to see correct answer for each questions.

Logical Problems - Test



Logical Problems

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Question 1

I) All Lamels are Signots with buttons.

II) No yellow Signots have buttons.

III) No Lamels are yellow.

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

A
True
B
False
C
Uncertain
Question 1 Explanation: 
We know that there are Signots with buttons, or Lamels, and that there are yellow Signots, which have no buttons.
Therefore, Lamels do not have buttons and cannot be yellow
Question 2

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.

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

A
True
B
False
C
Uncertain
Question 2 Explanation: 
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.
Question 3

I) A toothpick is useful.

II) Useful things are valuable.

III) A toothpick is valuable.

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

A
True
B
False
C
Uncertain
Question 3 Explanation: 
To the extent that a toothpick is useful, it has value.
Question 4

I) Tom puts on his socks before he puts on his shoes.

II) He puts on his shirt before he puts on his jacket.

III) Tom puts on his shoes before he puts on his shirt.

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

A
True
B
False
C
Uncertain
Question 4 Explanation: 
There is not enough information to verify the third statement
Question 5

I) Three pencils cost the same as two erasers.

II) Four erasers cost the same as one ruler.

III) Pencils are more expensive than rulers.

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

A
True
B
False
C
Uncertain
Question 5 Explanation: 
Rulers are the most expensive item
Question 6

I) Taking the train across town is quicker than taking the bus.

II) Taking the bus across town is slower than driving a car.

III) Taking the train across town is quicker than driving a car.

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

A
True
B
False
C
Uncertain
Question 6 Explanation: 
Both the car and the train are quicker than the bus, but there is no way to make a comparison between the train and the car.
Question 7

I) Cloudy days tend to be more windy than sunny days.

II) Foggy days tend to be less windy than cloudy days.

III) 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
Question 7 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.
Question 8

I) At a parking lot, a sedan is parked to the right of a pickup and to the left of a sport utility vehicle.

II) A minivan is parked to the left of the pickup.

III) 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
Question 8 Explanation: 
This is the order of the cars from left to right: minivan, pickup, sedan, sport utility vehicle.
Question 9

I) The bookstore has a better selection of postcards than the newsstand does.

II) The selection of postcards at the drugstore is better than at the bookstore.

III) 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
Question 9 Explanation: 
Of the three, the drugstore has the best selection of postcards
Question 10

I) A jar of jelly beans contains more red beans than green.

II) There are more yellow beans than red.

III) 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
Question 10 Explanation: 
The first two statements indicate there are more yellow jelly beans than red and green.
Question 11

I) Tanya is older than Eric.

II) Cliff is older than Tanya.

III) Eric is older than Cliff.

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

A
True
B
False
C
Uncertain
Question 11 Explanation: 
Because the first two statements are true, Eric is the youngest of the three, so the third statement must be false.
Question 12

I) Blueberries cost more than strawberries.

II) Blueberries cost less than raspberries.

III) Raspberries cost more than strawberries and blueberries.

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

A
True
B
False
C
Uncertain
Question 12 Explanation: 
Because the first two statements are true, raspberries are the most expensive of the three
Question 13

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.

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

A
True
B
False
C
Uncertain
Question 13 Explanation: 
All of the trees in the park are flowering trees, So all dogwoods in the park are flowering trees.
Question 14

I) Mara runs faster than Gail.

II) Lily runs faster than Mara.

III) Gail runs faster than Lily.

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

A
True
B
False
C
Uncertain
Question 14 Explanation: 
We know from the first two statements that Lily runs fastest. Therefore, the third statement must be false.
Question 15

I) Apartments in the Riverdale Manor cost less than apartments in The Gaslight Commons.

II) Apartments in the Livingston Gate cost more than apartments in the Gaslight Commons.

III) Of the three apartment buildings, the Livingston Gate costs the most.

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

A
True
B
False
C
Uncertain
Question 15 Explanation: 
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 16

I) All Lamels are Signots with buttons.

II) No yellow Signots have buttons.

III) No Lamels are yellow.

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

A
True
B
False
C
Uncertain
Question 16 Explanation: 
We know that there are Signots with buttons, or Lamels, and that there are yellow Signots, which have no buttons. Therefore, Lamels do not have buttons and cannot be yellow
Question 17

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.

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

A
True
B
False
C
Uncertain
Question 17 Explanation: 
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.
Question 18

I) A toothpick is useful.

II) Useful things are valuable.

III) A toothpick is valuable.

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

A
True
B
False
C
Uncertain
Question 18 Explanation: 
To the extent that a toothpick is useful, it has value.
Question 19

I) Tom puts on his socks before he puts on his shoes.

II) He puts on his shirt before he puts on his jacket.

III) Tom puts on his shoes before he puts on his shirt.

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

A
True
B
False
C
Uncertain
Question 19 Explanation: 
There is not enough information to verify the third statement.
Question 20

I) Three pencils cost the same as two erasers.

II) Four erasers cost the same as one ruler.

III) Pencils are more expensive than rulers.

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

A
True
B
False
C
Uncertain
Question 20 Explanation: 
Rulers are the most expensive item.
Question 21

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.
Question 21 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.
Question 22

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.
Question 22 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
Question 23

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.
Question 23 Explanation: 
Only III statement is true
Question 24

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.
Question 24 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.
Question 25

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.
Question 25 Explanation: 
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.
Question 26

I) A fruit basket contains more apples than lemons.

II) There are more lemons in the basket than there are oranges.

III) The basket contains more apples than oranges.

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

A
True
B
False
C
Uncertain
Question 26 Explanation: 
There are fewer oranges than either apples or lemons, so the statement is true.

Easy method: (Try this method to solve without any confusion)

=> A fruit basket contains more apples than lemons = App > Lem
=> There are more lemons in the basket than there are oranges = Lem > Org

=> Now, Combine the above two results: App > Lem > Org
=> The basket contains more apples than oranges (App > ... > Org) = Yes.
=> Therefore, the given 3rd statement is true.

Question 27

I) The Shop and Save Grocery is south of Greenwood Pharmacy.

II) Rebecca's house is northeast of Greenwood Pharmacy.

III) Rebecca's house is west of the Shop and Save Grocery.

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

A
True
B
False
C
Uncertain
Question 27 Explanation: 
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 28

I) Joe is younger than Kathy.

II) Mark was born after Joe.

III) Kathy is older than Mark.

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

A
True
B
False
C
Uncertain
Question 28 Explanation: 
Joe is younger than Kathy and older than Mark, so Mark must be younger than Kathy.
Question 29

I) On the day the Barton triplets are born,

II) Jenna weighs more than Jason.

III) Jason weighs less than Jasmine.

IV) Of the three babies, Jasmine weighs the most.

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

A
True
B
False
C
Uncertain
Question 29 Explanation: 
We only know that Jasmine weighs more than Jason. There is no way to tell whether Jasmine also weighs more than Jenna.
Question 30

I) The temperature on Monday was lower than on Tuesday.

II) The temperature on Wednesday was lower than on Tuesday.

III) The temperature on Monday was higher than on Wednesday.

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

A
True
B
False
C
Uncertain
Question 30 Explanation: 
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
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