ULUDAĞ UNIVERSITY STUDENT SELECTION AND PLACEMENT EXAM FOR FOREIGN STUDENTS (UÜYÖS)

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1 ULUDAĞ UNIVERSITY STUDENT SELECTION AND PLACEMENT EXAM FOR FOREIGN STUDENTS (UÜYÖS) =? What is the result of this operation? A) 2 B) 3 C) -2 D) -4 E) 4 2. If m 0,008 and n 0,0256, what is the value of m A) -1 B) -4 C) 2 D) 1 E) 3 n? 3. If 2 x+1 = 32, what is the value of x? A) 4 B) 5 C)7 D) 31 E) 32

2 4. The non-empty sets A and B are given. If s( A) 2. s( B) and s( B) 3. s( A B), what is the smallest possible value of s( A B)? A) 6 B) 8 C) 5 D) 7 E) 9 5. i i i i 9 18 i i What is the result of this operation? A)-1-2i B)-1+2i C)1+2i D)1 E) 2i 6. If 3 x = 5,then what is the value of 3 x + 1? A) 15 B) 243 C) 125 D) 25 E) 6 7. If x y = 3 and x.y = 5, what is the value of the expression x 3 y 3? A) 12 B) 45 C) 18 D) 72 E) 42

3 8. a b c 3 If 7a b 3c 5 What is the value of the expression 2a + b 3c? A) 2 B) 7 C) 1 D) 8 E) 5 9. A student obtains marks in mathematics, physics and biology. The average of his mathematics and physics marks is 15, his average mark for mathematics and biology is 17, and his average mark for physics and biology is 23. If so, what mark does the student obtain from biology? A) 30 B) 9 C) 25 D) 21 E) : : 4 3 =? What is the value of the question mark? A) 2 B) C) 2 D) 1 E) 11. What is the value of the question mark? A) B) C) D) E)

4 12. m and n are positive whole numbers, and are proportional to the numbers 2 and 3 respectively. If m n 15, which of the following is n m 2 2? A) 7 B) 3 C)4 D)1 E) ( x 1) what is the product of all possible values of x? A) 8 B) 4 C) 2 D) -4 E) If the expression simplified, what is the sum of all possible values of ɑ? x 2 5x a 9 x 2 can be A) 30 B) -18 C) -6 D) 20 E) 18

5 15. If a b c 5a 7b 4c 210, what is the value of b? A) 13 B) 12 C) 18 D) 20 E) z is a complex number, such that z x iy and achieves equality in z z 2 i. Which of the following shows the real part of the complex number z?, A) 3 4 B) 1 4 C) 1 2 D) 3 2 E) If z 2 i z (cos isin ), what is the value of? A) 4 B) 3 2 C) 2 D) 5 2 E) i 1 i 25 Which of the choices below is the number? A) i B) i C) 1 D) 2 E) 2i 19. If E is a universal set, and A E, B E then [( E A) ( E B)] [ B ( A ( E B))] is equal to which of the following? A) B) E C) A D) B E) A B

6 20. operation? (1 i) (1 i) 8 8 What is the result of this A) -2i B) 2i C) i D) 1 E) x 90 In the above circle with arc lengths as given, how many degrees is angle x? A)100 B)110 C) 120 D)140 E) ˆ m ( AOB) 60 In the diagram, with shaded areas of OC OA? S 1 S and 2 S. If 1 S2, what is the ratio of A) 6 6 B) C) D) 6 2 E) 6 3

7 23. ABCD is a parallelogram. Let the length of line segment [AK] be equal to that of line segment [KB] and line segment [BL] be equal in length to that of line segment [LC]. If the length of line segment [PA] is 3x+4 and that of line segment [CR] is 2x+9, how long is line segment [PR]? A) 18 B) 19 C) 15 D) 20 E) The diagram shows a square with sides of 2 units, in which two isosceles triangles, BFC have been drawn. If 30, how long is EF? AED and A) D) B) E) C) 3

8 25. In the diagram above, ABCD is a trapezium and AECD is a parallelogram. If CD 6 CEB? cm and the area of parallelogram AECD is 42 cm2, what is the area in cm2 of triangle AB 8 cm, A) 5 B) 6 C) 9 D) 8 E) In the triangle ABC, angle CDE is equal in measure to that of angle ABC. If line segment [DC] is 4cm long, line segment [AD] measures x, line segment [CE] is 5cm long, and line segment [EB] measures x-3, how long is the side [AC] in cm? A)10 B) 9 C) 8 D) 6 E) What is the area of a triangle having sides of 5, 7 and 8 units in length? A) 15 B)12 C)13 D) 10 E)20

9 28. C A E O F D B In the diagram, for the circle with centre O, if AB =2x+4, CD =3x-1, OE = OF =4, EF CD, EF AB, what is the radius of the circle? A) 5 B) C) D) E) 29. x O y In the above circle with centre O, if angle x=38 o, how many degrees is angle y? A) 38 B) 19 C) 76 D) 57 E) ABCD is a parallelogram. Let angle KML be If the length of line segment [DC] is IDCI=10 cm, that of line segment [MK] is 4cm, and that of line segment [ML] is 3 cm, how long is the perimeter of the triangle DMC? A) 21 B) 19 C) 22 D) 36 E) 24

10 31. 1, 4, 9, 16, 25,# What number comes next in this sequence? A) 27 B)36 C)48 D)50 E) In the above multiplication table, the letters A and B each represent positive whole numbers. If so, what is the value of A? A) 7 B) 3 C)4 D)6 E)5 33. If a b=3 (a-b) and cθd=2c-d, what is the value of (4 2)Θ(6 5)=? A) 14 B)18 C)12 D)16 E)15 34.? In the above figure sequence, what should replace? A) B) C)

11 D) E) 35. In this Sudoku puzzle, each of the numbers 1,2,3,4 and 5 are to be placed in each row and column. If so, which number is to replace ϴ? A) 4 B) 5 C) 3 D) 1 E) A cube is formed by folding up a piece made up of 6 squares. 3 faces of the cube, bearing different shapes, can be seen in the diagram above. Which of the 6-squared pieces below can be folded up to form the above cube? A) B) C) D)

12 E) 37. In which of the options below can the pieces be put together to form the shape above? A) B) C) D) E) 38. 0, 3, 8, 15, 24, 35, # What number comes next in this sequence? A) 99 B) 49 C) 63 D) 48 E) KARA TABU IRAK ÇAPA KATI The above words have been encoded below. By this encoding, if each digit represents a letter, which of the following numbers represents the word KARA?

13 A) 5171 B) 8129 C) 4715 D) 3162 E) In this Sudoku puzzle, each of the numbers 1,2,3,4 and 5 are to be placed in each row and column. If so, which number is to replace ϴ? A) 2 B) 1 C) 3 D) 5 E) A cube is formed by folding up a piece made up of 6 squares. 3 faces of the cube, bearing different shapes, can be seen in the diagram above. Which of the 6-squared pieces below can be folded up to form the above cube? A) B) C) D)

14 E) 42. Which of the following shapes should replace the question mark in the above diagram? A) B) C) D) E) 43. In the above addition table, the letters A and B each represent positive whole numbers. If so, what is the value of C? A) 7 B)3 C)6 D)9 E)8

15 44. In this Sudoku puzzle, each of the numbers 1,2,3,4 and 5 are to be placed in each row and column. If so, which number is to replace ϴ? A) 5 B) 4 C) 3 D) 2 E) If, Then ALO =? A) 513 B) 853 C) 385 D) 318 E) 831

16 46. The shapes below represent the faces of numbered dice that have been opened out. When these dice are formed again, in which of the following do the opposite pairs of faces add up to 7? A) B) C) D) E) 47. The object given above is made up of how many equal cubes? A) 17 B) 21 C) 19 D) 22 E) 25

17 48. In the above multiplication table, the letters A,B, C each represent positive whole numbers. If so, what is the value of A? A) 9 B) 5 C) 8 D) 10 E) If (2a+b) (3a-b) = a+b then, (3 7) =? A) -1 B)1 C)2 D) -2 E) Which of the following shapes should replace the question mark above? A) B) C)

18 D) E) The object given above is made up of how many equal cubes? A) 164 B)155 C)102 D)119 E) , 3, 9, 27, 81, # What number comes next in this sequence? A) 256 B)225 C)278 D)243 E) If a b=(2 a+b) ve cθd=, what is the value of ((3 2)Θ2) 2? A) 12 B)15 C)13 D)16 E)10

19 53. In which of the options below can the pieces be put together to form the shape above? A) B) C) D) E)

20 54. The above shapes have been arranged according to a certain pattern, both horizontally and vertically. According to this pattern, which of the following shape should replace the question mark? A) B) C) D) E) 55. In this Sudoku puzzle, each of the numbers 1,2,3,4 and 5 are to be placed in each row and column. If so, which number is to replace x? A) 3 B)1 C)5 D)2 E)4

21 56. Which of the following shapes is different in a certain way? A) B) C) D) E)