1. 3x + y = 19 , and x + 3y = 1.Find the value of 2x + 2y

A. 20 B. 18 C. 11 D. 10 E. 5

2. The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent. The two reductions together are equal to a single reduction of

A. 45% B. 40% C. 35% D. 32.5% E. 30%

3. x and y are integersx + y < 11 , and x > 6What is the smallest possible value of x - y ?

A. 1 B. 2 C. 4 D. -2 E. -4

4. If x^{5}y^{4}z^{2} <0 , which of the following must be true? Select ALL such statements.

A. xy < 0 B. yz < 0 C. xz < 0 D. x < 0 E. x^{5} < 0

5. BCD is a line segment and Angle BAC = ¼ Angle ACB ; Angle ACD = ?

A. 140 B. 100 C. 120 D. 60 E. it cannot be determined from the information given

6. If x ¤ y = (x + y)² - (x - y)² Then √5 ¤ √5 =

A. 0 B. 5 C. 10 D. 15 E. 20

7. In a certain village, m litres of water are required per household per month. At this rate, if there are n households in the village, how long (in months) will p litres of water last?

A. p /mn B. mn / p C. mp / n D. np / m E. npm

8. In the figure below, what is the slope of line l ?

A. - 3 B. - 1/3 C. 0 D. 1/3 E. 3

9. What digit appears in the units place in the number obtained when 2^{320} is multiplied out?

A. 0 B. 2 C. 4 D. 6 E. 8

10. Radius of circle center O is 3 times the radius of circle center C.

Angle ACB = Angle POQ

A. 6 B. 12 C. 18 D. 36 E. 3/2

10 questions

12 minutes

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