1.
Choose the correct options :
5^{55} + 5^{55} + 5^{55} + 5^{55} + 5^{55} = ?
A. 5^{275 } B . 5^{56} C. 25^{275} D. 25^{56}
2.
How many digits does the number 1000^{1000} have?
3.
Given that x is a real number such that x^{2} - 4 x + 4 = 0 , find the value of . x
4.
Evaluate the following expression: 123456789^{2} – ( 123456788 x 123456790 )
5.
What is the value of √1 %
6.
If 7 cows need 7 days to eat 7 grass fields, how long it would take for 5 cows to eat 5 grass fields?
7.
√- 2 X √ - 3
8.
If all Alakazams are Open Sesame, and some Hocus Pocus are Alakazams, is it true that some Hocus Pocus are Open Sesame?
9.
The school nurse is recording the heights of students in a class. When comparing their heights, the students find
• Alex is taller than Brian but shorter than Charlie.,
• Daniel is taller than Edward but shorter than Alex.
Who is the tallest?
10.
Jorge runs faster than Drew.
Drew runs faster than Bernard.
Jorge runs faster than Bernard.
If the first two statements are true, then the third statement is:
11.
When conducting an inventory of the PE storage room, Coach Carlson found several basketballs, softballs, footballs and baseballs in a locker. He found 4, 6, 8 and 10 of them (a different number for each type). He recorded that:
There are fewer softballs than footballs. There are 6 more baseballs than basketballs.
How many footballs are there?
12.
Assume that published books are classified as novels, short stories, or story books according to the following classification:
A novel has at least 300 pages.
A short story has at most 100 pages.
A story book has at most 500 pages.
What can we say about a book that has 400 pages?
A.
Either a Novel or a Story Book
B.
C.
D.
E.
Either a Short Story or a story book
13.
In front of you are 3 chests:
Chest A has been labelled with "100 gold coins,"
Chest B has been labelled with "50 gold and 50 silver coins," and
Chest C has been labelled with "100 silver coins."
You are told that all of the labels are incorrectly placed, as they describe the contents of another one of the chests. To help you determine which is the chest that contains 100 gold coins, you are allowed to randomly pick a coin from a chest of your choice. Which chest should you choose from?
14.
Aldith, Bogdan and Chedomir are gathered in a medieval tavern. One of them is a knight who always tells the truth, one of them is a knave who always lies, and one of them is a jester who can either tell the truth or lie.
Aldith says, "I am not a knave."
Bogdan says, "I am a knave."
Chedomir says, "I am not a knave."
Who is the jester?
15.
John, Aries, and Joseph are brothers with different ages. Who is the youngest if the following statements are
true?
I.Aries is the oldest.
II. Joseph is not the oldest.
III. John is not the youngest.
A.
B.
C.
Neither of Them are Youngest
D.
16.
While Danny, Edmund and Frank were out trekking in the wilderness, they were ambushed and captured by cannibals. The cannibals give the men a possible chance to escape.
Danny, Edmund and Frank are lined up in order, so that Danny can see Edmund and Frank, and Edmund can see Frank only, while Frank cannot see anyone else. The cannibals take out 5 hats, of which 3 are black and 2 are white, and show these to the men. The hats are then placed on each man's head (one hat per head), without the men knowing what color their own hat is, nor the color of the remaining hats. The men will be set free if they can correctly guess the color of their hats.
Danny looks at the hats of the people in front of him and says, "I do not know."
Edmund looks at the hat of Frank in front of him and says, "I do not know."
What should Frank say?
17.
Robinson Crusoe was shipwrecked on an island. He quickly learned that each villager that he meets is either a truth-teller who always only tells the truth, or is a liar who always only lies. One day, he meets 3 villagers and asks them
"How many truth-tellers are there amongst you?"
He received the following three replies (one from each of the villagers):
"Zero," "One," "Two."
How many truth-tellers are there amongst the 3 villagers?
18.
There are two men. One of them is wearing a red shirt, and one is wearing a blue shirt. The two men are named Andrew and Bob, but we do not know which is Andrew and which is Bob.
The guy in the blue shirt says, “I am Andrew.”
The guy in the red shirt says, “I am Bob.”
If we know that at least one of them lied, then what color shirt is Andrew wearing?
19.
Exactly one statement on this list is false.
Exactly two statements on this list are false.
Exactly three statements on this list are false.
Exactly four statements on this list are false.
Exactly five statements on this list are false.
Exactly six statements on this list are false.
Exactly seven statements on this list are false.
Exactly eight statements on this list are false.
Exactly nine statements on this list are false.
Exactly ten statements on this list are false.
How many statements from the above list are false?
20.
There are 3 friends named A, B, and C. One of them is the Knight who always tells the truth, one is the Knave who always lies, and one is the Jester who can tell the truth as well as lie.
One day in the king's court, the three friends have a conversation.
A says, "I am not the Knave."
B says, "I am the Knave."
C says, "I am not the Knave."
Who is the Jester?
21.
John tells the truth on Mondays, Thursdays and Saturdays, but lies on every other day.
One day he said, “I will tell the truth tomorrow.”
On which day of the week did he make this statement?
22.
Knights always tell the truth and Knaves always lie.
In a group of six people, the following statements are made:
Alice says, "None of us are Knights."
Bob says, "Exactly two of us are Knights."
Cathy says, "At least three of us are Knights."
Dave says, "At most three of us are Knights."
Evelyn says, "Exactly five of us are Knights."
Frank says, "Exactly one of us is a Knight."
How many Knights are there?
23.
An island has only two types of people: Knights (who always speak the truth) and Knaves (who always lie).
I met two men who lived there and asked the taller man if they were both Knights. He replied, but from his answer, I could not figure out what type of person each man was, so I asked the shorter man if the taller man was a Knight. He replied, and after that I knew which type of person each man was.
Were the men Knights or Knaves?
A.
A. The taller was a Knight and the shorter was a Knave
B.
C.
C. They were both Knights.
D.
The taller was a Knave and the shorter was a Knight.
24.
On one side of the card it is written that
"The statement on the other side of this card is true"
And on the other side it is written that
"The statement on the other side of this card is false"
Which statements is/are true?
A.
B.
C.
D.
This is an impossible scenario
25.
. Anthony says "If our team wins the game, we always go to McDonalds to celebrate our win." If Anthony spoke the truth, and he is currently at McDonalds, did his team win the game?
A.
B.
C.
It is impossible to determine