V, W, X, Y and Z are numbers between 0 and 9.If XYZ / 15 = WV and V-W=X (WV is a 2 digit number, XYZ is a 3 digit number), which of the following numbers can represent XYZ?
Answer(s): D
We see that XYZ should be equally dividable by 15, or by 5 and 3. The only number that fits those conditions is 570.
A, B and C are different numbers, each between 0 and 9.If B = C+2, what is BCA – CBA? (CBA and BCA are both 3 digit numbers).
Answer(s): B
Let’s put in some numbers. C = 1, so B = 1 + 2 = 3. There is no information about A so we’ll leave it as A. BCA – CBA = 31A – 13A = 180. B is the answer.
Danny, Doris and Dolly flipped a coin 5 times and each time the coin landed on “heads”. Dolly bet that on the sixth time the coin will land on “tails”, what is the probability that she’s right?
The probability of the coin is independent on its previous outcomes and therefore the probability for “head” or “tail” is always ½.
In a deck of cards there are 52 cards numbered from 1 to 13. There are 4 cards of each number in the deck. If you insert 12 more cards with the number 10 on them and you shuffle the deck really good, what is the probability to pull out a card with a number 10 on it?
Answer(s): A
The total number of cards in the new deck is 12 +52 = 64. There are (4 + 12 = 16) cards with the number 10. The probability of drawing a 10 numbered card is 16/64 = 1/4.
There are 18 balls in a jar. You take out 3 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1/5. How many blue balls were there in the beginning?
Answer(s): E
After taking out 3 balls there are 15 left. 15/5 = 3 blue balls is the number of left after we took out 3 therefore there were 6 in the beginning.
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