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Part Mathematics

Section 1: Data Sufficiency (1-10)

        This data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of the word counterclockwise), you must indicate whether:


1. What is the average of A, B and C ?

(1) 5A + 5B = 60 - 5C
(2) -2A = 2B + 2C-24
2. How old is Sara now?

(1) Sara is now 3 times as old as Joe.
(2) 5 years ago, Sara was 5 times as old as Joe.
3. What is the value of integer X ?

(1) X is even number.
(2) X is prime number.
4. Is the triangle below isosceles?

(1) X = 2Y
(2) Y = Z/2
5. Is n3 an odd integer?

(1) n is an odd integer.
(2) n2 is an odd integer.
6. If 2X + 4Y = 6, then Y = ?

(1) 10X + 20Y = 30
(2) X = 3 - 2Y
7. The ratio of boys to girls in a classroom is 9:10. How many girls are in the class room?

(1) There are 45 boys in the classroom.
(2) The classroom contains 5 more girls than boys.
8. In the figure below, line A, B and C intersect in a single point. What is the value of X° + Y°?

(1) X° + Z° = 100
(2) (X° * Z°) / 20 = 3X°
9. What is its perimeter?

(1) The area of the figure is 150 cm2.
(2) X = 12 cm.
10. If the average of p, q and 50 is 100, then what is the value of q?

(1) p is 50 greater than q.
(2) p + q + 50 = 300
Section 2: Maths (11-20)

11. if = 3 , what is the value of ?
12. In the figure below, line s1//s2. What is the value of A°+B° ?
13. 52% of is what percent of of ?
14. In how many different ways can 3 girls and 2 boys are arranges in a line?
15. If X, Y and Z are real number and X > Y, then which of the following must be true?
16. ΔABC is equilateral, AB = 2 cm. If x, y and z are the midpoints of their respective sides, what is the areas of Δxyz ?
17. If one leg of a right triangle has length 5, and the length of the hypotenuse is 13, then the other leg has length .
18. If 10 typists can type 20 pages in 2 minutes, how many typists will take to type 30 pages in 5 minutes?
19. Which one of these is the smallest number?
20. If the perimeter of an isosceles triangle is 16 feet and its area is 12 feet2, what is the height of triangle, in feet?
Section 3: Table and Chart (21-30)

Questions 21-23 refer to the following graph.
The following graph shows Annual Profits for XYZ Company from 2004 to 2010


21. During the years 2004 through 2010, what were the average profits per year?
22. According to the graph above, XYZ Company showed the greatest change in profits between which 2 years?
23. How many percent did the value of profits in 2010 vary from 2009?
Questions 24-30 refer to the following table.

POPULATION BY AGE GROUP, LABOR FORCE STATUS AND SEX, WHOLE KINGDOM


24. What is the value of A1 ?
25. What is the value of A2 ?
26. What is the value of A3 ?
27. What is the value of A4 ?
28. What is the value of A5 ?
29. What is the value of A6 ?
30. What is the value of A7 ?
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