89 + Mcqs in Logical Problems Page 2 McqOptions

51.	The high school math department needs to appoint a new chairperson, which will be based on seniority. Ms. West has less seniority than Mr. Temple, but more than Ms. Brody. Mr. Rhodes has more seniority than Ms. West, but less than Mr. Temple. Mr. Temple doesn't want the job. Who will be the new math department chairperson?
A.	Mr. Rhodes
B.	Mr. Temple
C.	Ms.West
D.	Ms. Brody
Answer» B. Mr. Temple

Discussion

52.	Nurse Kemp has worked more night shifts in a row than Nurse Rogers, who has worked five. Nurse Miller has worked fifteen night shifts in a row, more than Nurses Kemp and Rogers combined. Nurse Calvin has worked eight night shifts in a row, less than Nurse Kemp. How many night shifts in a row has Nurse Kemp worked?
A.	eight
B.	nine
C.	ten
D.	eleven
Answer» C. ten

Discussion

53.	Children are in pursuit of a dog whose leash has broken. James is directly behind the dog. Ruby is behind James. Rachel is behind Ruby. Max is ahead of the dog walking down the street in the opposite direction. As the children and dog pass, Max turns around and joins the pursuit. He runs in behind Ruby. James runs faster and is alongside the dog on the left. Ruby runs faster and is alongside the dog on the right. Which child is directly behind the dog?
A.	James
B.	Ruby
C.	Rachel
D.	Max
Answer» E.

Discussion

54.	Four defensive football players are chasing the opposing wide receiver, who has the ball. Calvin is directly behind the ball carrier. Jenkins and Burton are side by side behind Calvin. Zeller is behind Jenkins and Burton. Calvin tries for the tackle but misses and falls. Burton trips. Which defensive player tackles the receiver?
A.	Burton
B.	Zeller
C.	Jenkins
D.	Calvin
Answer» D. Calvin

Discussion

55.	In a four-day period Monday through Thursday each of the following temporary office workers worked only one day, each a different day. Ms. Johnson was scheduled to work on Monday, but she traded with Mr. Carter, who was originally scheduled to work on Wednesday. Ms. Falk traded with Mr. Kirk, who was originally scheduled to work on Thursday. After all the switching was done, who worked on Tuesday?
A.	Mr. Carter
B.	Ms. Falk
C.	Ms. Johnson
D.	Mr. Kirk
Answer» E.

Discussion

56.	A four-person crew from Classic Colors is painting Mr. Field's house. Michael is painting the front of the house. Ross is in the alley behind the house painting the back. Jed is painting the window frames on the north side, Shawn is on the south. If Michael switches places with Jed, and Jed then switches places with Shawn, where is Shawn?
A.	in the alley behind the house
B.	on the north side of the house
C.	in front of the house
D.	on the south side of the house
Answer» D. on the south side of the house

Discussion

57.	Ms. Forest likes to let her students choose who their partners will be; however, no pair of students may work together more than seven class periods in a row. Adam and Baxter have studied together seven class periods in a row. Carter and Dennis have worked together three class periods in a row. Carter does not want to work with Adam. Who should be assigned to work with Baxter?
A.	Carter
B.	Adam
C.	Dennis
D.	Forest
Answer» B. Adam

Discussion

58.	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» C. II and III only

Discussion

59.	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» C. II and III only

Discussion

60.	Fact 1: Eyeglass frames cost between $35 and $350. Fact 2: Some eyeglass frames are made of titanium. Fact 3: Some eyeglass frames are made of plastic. If the first three statements are facts, which of the following statements must also be a fact? I: Titanium eyeglass frames cost more than plastic frames. II: Expensive eyeglass frames last longer than cheap frames. III: Only a few eyeglass frames cost less than $35.
A.	I only
B.	II only
C.	II and III only
D.	None of the statements is a known fact.
Answer» E.

Discussion

61.	Fact 1: Most stuffed toys are stuffed with beans. Fact 2: There are stuffed bears and stuffed tigers. Fact 3: Some chairs are stuffed with beans. If the first three statements are facts, which of the following statements must also be a fact? I: Only children's chairs are stuffed with beans. II: All stuffed tigers are stuffed with beans. III: Stuffed monkeys are not stuffed with beans.
A.	I only
B.	II only
C.	II and III only
D.	None of the statements is a known fact.
Answer» E.

Discussion

62.	Fact 1: Pictures can tell a story. Fact 2: All storybooks have pictures. Fact 3: Some storybooks have words. If the first three statements are facts, which of the following statements must also be a fact? I: Pictures can tell a story better than words can. II: The stories in storybooks are very simple. III: Some storybooks have both words and pictures.
A.	I only
B.	II only
C.	III only
D.	None of the statements is a known fact.
Answer» D. None of the statements is a known fact.

Discussion

63.	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.
Answer» C. II and III only

Discussion

64.	Taking the train across town is quicker than taking the bus. Taking the bus across town is slower than driving a car. 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
Answer» D.

Discussion

65.	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» D.

Discussion

66.	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» C. uncertain

Discussion

67.	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» B. false

Discussion

68.	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» C. uncertain

Discussion

69.	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 statements are true, the third statement is
A.	true
B.	false
C.	uncertain
Answer» B. false

Discussion

70.	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
A.	true
B.	false
C.	uncertain
Answer» C. uncertain

Discussion

71.	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
A.	true
B.	false
C.	uncertain
Answer» D.

Discussion

72.	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
A.	true
B.	false
C.	uncertain
Answer» C. uncertain

Discussion

73.	All spotted Gangles have long tails. Short-haired Gangles always have short tails. Long-tailed Gangles never have short hair. If the first two statements are true, the third statement is
A.	true
B.	false
C.	uncertain
Answer» D.

Discussion

74.	Fact 1: Islands are surrounded by water. Fact 2: Maui is an island. Fact 3: Maui was formed by a volcano. If the first three statements are facts, which of the following statements must also be a fact? I: Maui is surrounded by water. II: All islands are formed by volcanoes. III: All volcanoes are on islands.
A.	I only
B.	II only
C.	II and III only
D.	None of the statements is a known fact.
Answer» B. II only

Discussion

75.	Fact 1: Robert has four vehicles. Fact 2: Two of the vehicles are red. Fact 3: One of the vehicles is a minivan. If the first three statements are facts, which of the following statements must also be a fact? I: Robert has a red minivan. II: Robert has three cars. III: Robert's favorite color is red.
A.	I only
B.	II only
C.	II and III only
D.	None of the statements is a known fact.
Answer» E.

Discussion

76.	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» E. None of the statements is a known fact.

Discussion

77.	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.
Answer» E.

Discussion

78.	All Lamels are Signots with buttons. No yellow Signots have buttons. No Lamels are yellow. If the first two statements are true, the third statement is
A.	true
B.	false
C.	uncertain
Answer» B. false

Discussion

79.	Three pencils cost the same as two erasers. Four erasers cost the same as one ruler. Pencils are more expensive than rulers. If the first two statements are true, the third statement is
A.	true
B.	false
C.	uncertain
Answer» C. uncertain

Discussion

80.	A toothpick is useful. Useful things are valuable. A toothpick is valuable. If the first two statements are true, the third statement is
A.	true
B.	false
C.	uncertain
Answer» B. false

Discussion

81.	Tom puts on his socks before he puts on his shoes. He puts on his shirt before he puts on his jacket. 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
Answer» D.

Discussion

82.	The hotel is two blocks east of the drugstore. The market is one block west of the hotel. The drugstore is west of the market. If the first two statements are true, the third statement is
A.	true
B.	false
C.	uncertain
Answer» B. false

Discussion

83.	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
A.	true
B.	false
C.	uncertain
Answer» B. false

Discussion

84.	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
A.	true
B.	false
C.	uncertain
Answer» B. false

Discussion

85.	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
A.	true
B.	false
C.	uncertain
Answer» C. uncertain

Discussion

86.	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
A.	true
B.	false
C.	uncertain
Answer» D.

Discussion

87.	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
A.	true
B.	false
C.	uncertain
Answer» D.

Discussion

88.	Middletown is north of Centerville. Centerville is east of Penfield. Penfield is northwest of Middletown. If the first two statements are true, the third statement is
A.	true
B.	false
C.	uncertain
Answer» C. uncertain

Discussion

89.	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» D. None of the statements is a known fact.

Discussion

Explore topic-wise MCQs in Logical Reasoning.

Taking the train across town is quicker than taking the bus. Taking the bus across town is slower than driving a car. Taking the train across town is quicker than driving a car. If the first two statements are true, the third statement is

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

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

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 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

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 statements are true, the third statement is

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

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

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

All spotted Gangles have long tails. Short-haired Gangles always have short tails. Long-tailed Gangles never have short hair. If the first two statements are true, the third statement is

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.

All Lamels are Signots with buttons. No yellow Signots have buttons. No Lamels are yellow. If the first two statements are true, the third statement is

Three pencils cost the same as two erasers. Four erasers cost the same as one ruler. Pencils are more expensive than rulers. If the first two statements are true, the third statement is

A toothpick is useful. Useful things are valuable. A toothpick is valuable. If the first two statements are true, the third statement is

Tom puts on his socks before he puts on his shoes. He puts on his shirt before he puts on his jacket. Tom puts on his shoes before he puts on his shirt. If the first two statements are true, the third statement is

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

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

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

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

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

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

Middletown is north of Centerville. Centerville is east of Penfield. Penfield is northwest of Middletown. If the first two statements are true, the third statement is

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.