1. If x2y > 0 and xy2 < 0, then which of the following are true?
a) x = 0
b) y = 0
c) x > 0 and y < 0
d) x < 0 and y > 0
e) x > 0 and y > 0
2. In the given figure, EB is perpendicular to FC, and AD and EB intersect at point F. What is the value of ∠CFD?
Note: Figure not drawn to scale.
a) 50°
b) 40°
c) 100°
d) 90°
e) 180°
3. At what point will 12x2 + 5x + 1 attain the minimum value?
a) 5/24
b) -5/24
c) 15/8
d) 24/5
e) 8/15
4. If x and y are multiples of 3, which of the following CANNOT also be a multiple of 3?
a) x + y
b) x - y
c) x + y + 1
d) xy
e) xy + 3
5. Find the equation of the line through (2, 3) perpendicular to 4x - 3y=10.
a) 4x - 3y = 18
b) 4x - 3y = -18
c) 3x + 4y = -18
d) 3x + 4y = 18
e) 4x + 3y = 18
6. A jar contains 10 red marbles and 30 green ones. How many red marbles must be added to the jar so that 60% of the marbles will be red?
a) 45
b) 30
c) 0
d) 35
e) 50
7. If 2a + 5b = 8 and 3a = 2b, what is the value of 2a + b?
a) 8
b) 40/19
c) 56/19
d) 70/19
e) 15
8. John ranked 9th from the first and 14th from the last in class VII. He ranked 5th from the first and 11th from the last of all those who passed from class VII. How many students failed in class VII?
a) 6
b) 7
c) 5
d) Cannot be determined
e) 9
9. In the given figure, ΔABC is similar to ΔXYZ, AC = 5, BC = 3, YZ = 7.5 and ∠C = ∠Z = 90°. What is the length of the side XZ?
a) 3
b) 5
c) 7.5
d) 8
e) 12.5
10. The inequality 6x - 14 > 7x + 14 is true if and only if which of the following is true?
a) x < -28
b) x < -7
c) x > -7
d) x > -16
e) x > -28
