Tom and Mary are both the same age. Tom is older than John. Mary is younger than Bill. Which statement is definitely true?
A. Tom is younger than Bill
B. John is younger than Mary
C. John is younger than Bill
D. Bill is older than Tom
E. Bill is younger than John
The correct answer is: C
Rationale: Given the information in the question, John is younger than both Tom and Mary. Mary is younger than Bill, so John must be younger than Bill as well.
A pet store sells only cats and dogs. There are 3 times as many cats as dogs. If there are 20 cats and dogs altogether, how many cats are there?
A. 5
B. 12
C. 15
D. 18
E. 24
The correct answer is: C
Rationale: Let x be the number of dogs. Then 3x is the number of cats. So x + 3x = 20. Then 4x = 20, and x = 5. So there are 3 * 5 = 15 cats.
John, Mary, and Tom are siblings. John is not the youngest. Tom is the oldest. Who is the youngest?
A. John
B. Mary
C. Tom
D. It is impossible to tell
The correct answer is: B
Rationale: We know John is not the youngest and Tom is the oldest, so by elimination, Mary must be the youngest.
If all bloops are snoots, and all snoots are toots, then which statement must be true?
A. All bloops are toots
B. All toots are bloops
C. All snoots are bloops
D. All toots are snoots
The correct answer is: A
Rationale: If all bloops are snoots, and all snoots are toots, then all bloops must also be toots. This is a transitive relationship.
A train leaves City A at 10:00 AM and arrives at City B at 2:00 PM. The train travels at an average speed of 100 miles per hour. How far apart are City A and City B?
A. 100 miles
B. 200 miles
C. 300 miles
D. 400 miles
The correct answer is: D
Rationale: The train travels for 4 hours (2:00 PM - 10:00 AM). At 100 miles per hour, it covers 4 hours * 100 miles/hour = 400 miles.
There are 3 red balls, 4 blue balls, and 5 green balls in a bag. If you close your eyes and pick one ball at random, what is the probability that it is not green?
A. 3/12
B. 4/12
C. 5/12
D. 7/12
The correct answer is: D
Rationale: There are 12 balls in total, and 5 of them are green. So, there are 12 - 5 = 7 balls that are not green. The probability of picking a non-green ball is 7/12.
All birds can fly. All things that can fly have feathers. Penguins are birds. Which statement must be true?
A. Penguins can fly
B. All things that have feathers are birds
C. Penguins have feathers
D. All things that can fly are penguins
The correct answer is: C
Rationale: Since all birds have feathers and penguins are birds, then penguins must have feathers.
A farmer has 10 sheep, 2 cows, and 3 chickens. How many animals does the farmer have in total?
A. 3
B. 12
C. 15
D. 30
The correct answer is: C
Rationale: Adding up all the animals: 10 sheep + 2 cows + 3 chickens = 15 animals in total.
If today is Tuesday, what day of the week will it be 100 days from now?
A. Monday
B. Tuesday
C. Wednesday
D. Thursday
E. Friday
The correct answer is: D
Rationale: There are 7 days in a week, so each group of 7 days brings you back to the same day of the week. 100 divided by 7 is 14 with a remainder of 2. This means after 98 days (14 weeks), it will be Tuesday again. Two days after Tuesday is Thursday.
A family has three children: a boy born on Tuesday, a girl born on Thursday, and another child born on Sunday. Which statement must be true?
A. The first-born child is a boy
B. The youngest child is a girl
C. The oldest child was born on a weekend
D. None of the above statements must be true
The correct answer is: D
Rationale: We only know the birth days of the children, not their birth order or genders, so none of the statements are guaranteed to be true.