1. Timothy is re-arranging his marble collection. He has five identical blue marbles, five identical
black marble. He can fit exactly five marbles into a case and must have at least one of each.
How many different ways can he arrange the case in?
a. 150
b. 120
c. 1260
d. 420
e. 925
f. 3375
2. There are 5 bags, three of which each contain 5 orange and 2 purple marbles. The remaining 2
bags each contain 1 orange and 4 purple marbles. A purple marble has been drawn. What is the
probability that the purple marble came from the first group of bags containing 5 orange and 2
purple marbles?
a. 15
43
b. 6
35
c. 3
5
d. 8
25
3. Tyler is pursuing his younger brother Kevin. Tyler is running six times as fast as Kevin does. Tyler
overtakes Kevin and then goes on running at the same speed for two more minutes, then stops
to wait for Kevin. Kevin maintained his constant speed throughout the chase. How long did
Tyler wait for Kevin to catch up?
a. 12
b. 10
c. 8
d. 6
4. We create 4-digit number greater than 5000 using the digits 0,1,3,5,7. What is the probability
of creating a number divisivble by 5 if the digits cannot be repeated? Assume the numbers are
randomly selected.
a. 3
8
b. 33
83
c. 99
249
d. 2
5
5. The inflation index pf Country A in 1990 relative to 1995 was 5. Meaning that the ratio of
dollars spent for goods during 1990 compare to the dollars spent for the same goods during the
year 1995 is 1:5. Similarly inflation index in country B for the year 1995 relative to 1990 was 9
and the inflation index in country C for the year 1995 relative to 1990 was 13. Price of a pair of
shoes was ₹72 more in 1995 than in 1990 in all three coumtries. What was the ratio between
the price of the pair of shoes in Country B and Country C in 1995?
a. 30:27:26
b. 30:28:26
c. 22:20:18
d. 18:16:14
