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QuestionChoice 1Choice 2Choice 3Choice 4Choice 5AnsSolution
2
Lucy wants to give her friend a potted plant. At the local florist, the flowers come in 4 colors, and there are 6 types of flower pots.
If she can choose any flower and any pot, how many different potted plants can Nadia buy?
1812202416246*4 =24
3
There are 6 people in a room.

If everyone shakes everyone else's hand exactly once, how many handshakes occurred?
63018361515There are 6 people. Each person shakes hands of 9 other people.
Divide by 2 , double counted reciprocal handshakes.
6*5/2 = 15
4
Jenifer starts counting at 39, and she counts by fives.

If 39 is the 1st number that Jenifer counts. what is the 12th number that she counts?
104999098949439 + ( 11 *5) = 94
5
How many three-digit numbers containing only even digits are divisible by 9?90306010010A number is divisible by 9 if the sum of its digits is divisible by 9.

For 3 digits numbers, maximum possible sum is 27 ( 9+9+9), which leaves us with the only possible sum divisible by 9 being 18.

Even numbers whose sums of threes could be 18 are 6+6+6 , 2+8+8, 4+6+8

Possible arrangement of these numbers are 1+ 3 + 3 = 10
6
What is the sum of first 10 whole numbers.454750535555
7
The first six numbers in a sequence are
1,2,2,3,3,3,... .

What is the 66th number in this sequence?
91112108111+2+3+4+... = n(n+1)/2 = 66
n (n+1) = 132
n = 11
8
John is twenty years younger than Amy, and in five years' time he will be half her age. What is John's age now?101215202515J = A − 20
J + 5 = (A + 5)/2

J = 15
A =35
9
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?"
What is the probability of winning by picking door No.2?
1 / 3 1 / 21 / 42 / 3 12 / 3This is the famous Monty Hall problem.
http://en.wikipedia.org/wiki/Monty_Hall_problem

There are three doors O O O
each has probability of 1/3, 1/3 ,1/3.
Let's say you have choosen a door (Y) with probability of 1/3 , the combined probability of the next two doors is 2/3.
(Y) O O
If the show host open non prize door X.
(Y) O X

Your choosen door still has probability of 1/3. while the remaining non-opened door O has 2/3 (from the previous combined probility of O and X).

10
How many unique ways are there to arrange the letters in the word THAT?161224362012There are 4 places ----. 4!

However, the alphabet T is repeated twice.
dividing overlapped value of 2!.

4!/2! = 12
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