7. Which three symbols are missing?
8.
A computer game involves the capturing of three types of mythical
creatures: Arps, Orps and Urps.4
Arps have 6 legs, 3 horns and a tail.
Orps have 4 legs and 2 horns, but no tail.
Urps have 3
legs and a tail, but no horns.
The last time Billy played this game he captured 45 creatures with a
total of 222 legs, 99 horns and 33 tails.
How many of the 45 creatures that Billy captured were Arps?
A 8
B 12
C 15
D 20
E 25
9. A rectangular matchbox measures 12 cm by 5 cm by 3 cm. Each match
is a cuboid, 5 cm by 2 mm by 2 mm. What is the greatest number of
matches which can fit into a box?
A 900
B 750
C 1200
D 1000
E 600
10.
In a group of 68 students, each student is registered for at least one
of three classes – History, Math and English. Twenty-five students are
registered
for History, twenty-five students are registered for Math, and
thirty-four students are registered for English. If only three students are
registered
for all three classes, how many students are registered for
exactly two classes?
A. 13
B. 10
C. 9
D. 8
E. 7
11.
If five digits 1, 2, 3, 4, 5 are being given and a three digit code has to
be made from it if the repetition of digits is allowed then how many such
codes can be formed.
A 120
B 100
C 125
D 150
E 90
12. The product of all the prime numbers less than 20 is closest to which
of the following powers of 10?
A 10
9
B 10
8
C 10
7
D 10
6
E10
5
13. Each * in the mileage table above represents an entry indicating the
distance between a pair of the five cities. If the table were extended to
represent the distances between all pairs of 30 cities and each distance
were to be represented by only one entry, how many entries would the
table then have?