Test14
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UNIVERSITY OF DEBRECEN
ENTRANCE EXAMINATION
Name: ............................................................. 1. What is the value of
1 4
+
2 3
Date: ...................
?
Answer: ............................................. 2. What is the value of 2−3 ? Answer: ............................................. 3. What is the solution of the equation 3x − 5 = 0 ? Answer: ............................................. 4. Let A = {1, 2, 3, 4, 5, 6} and B = {1, 3, 5, 7}. What are the elements of (A ∪ B) \ (A ∩ B) ? Answer: ............................................. 5. What are the solutions of the equation x2 + x − 6 = 0 ? Answer: ............................................. 6. What is the value of cos(2π) ? Answer: ............................................. 7. What is 80 percent of 400 ? Answer: ............................................. 8. The length of the diagonal of a square is 6. What is the length of one side? Answer: ............................................. 9. What is the area of the triangle determined by A = (1, 4), B = (0, 2), C = (4, 0) ? Answer: ............................................. 10. How long is the radius of the circle given by the equation x2 − 2x + y 2 + 4y = 0 ? Answer: .............................................
UNIVERSITY OF DEBRECEN
ENTRANCE EXAMINATION
11. What is the most simple form of the expression
a2 −b2 a−2b
:
a−b , a−2b
(a 6= 2b, a 6= b) ?
Answer: ............................................. 12. What is the value of
r q √ 3 x x x2 4 x ? 9 8
Answer: ............................................. 13. What is the solution of the inequality
x−2 (x+3)
≤0?
Answer: ............................................. 14. What is the equation of the line passing through the points (2, −2) and (3, 3) ? Answer: ............................................. 15. What is the maximal domain of the function f : R 7→ R, f (x) =
√ 2 − 3x + x2 ?
Answer: ............................................. 16. What is the period of the function f : R 7→ R, f (x) = sin(4x) ? Answer: ............................................. 17. What is the exact value of the expression cos 604π ? 6 Answer: ............................................. 18. How many 2-element subsets does the set {1, 2, 3, 4, 5, 6} have? Answer: ............................................. 19. How many different ways can six people be seated on six chairs? Answer: ............................................. 20. How many 5-digit numbers can be made out of the digits 1, 2, 2, 2, 3 ? Answer: .............................................
ENTRANCE EXAMINATION
Name: ............................................................. 1. What is the value of
1 4
+
2 3
Date: ...................
?
Answer: ............................................. 2. What is the value of 2−3 ? Answer: ............................................. 3. What is the solution of the equation 3x − 5 = 0 ? Answer: ............................................. 4. Let A = {1, 2, 3, 4, 5, 6} and B = {1, 3, 5, 7}. What are the elements of (A ∪ B) \ (A ∩ B) ? Answer: ............................................. 5. What are the solutions of the equation x2 + x − 6 = 0 ? Answer: ............................................. 6. What is the value of cos(2π) ? Answer: ............................................. 7. What is 80 percent of 400 ? Answer: ............................................. 8. The length of the diagonal of a square is 6. What is the length of one side? Answer: ............................................. 9. What is the area of the triangle determined by A = (1, 4), B = (0, 2), C = (4, 0) ? Answer: ............................................. 10. How long is the radius of the circle given by the equation x2 − 2x + y 2 + 4y = 0 ? Answer: .............................................
UNIVERSITY OF DEBRECEN
ENTRANCE EXAMINATION
11. What is the most simple form of the expression
a2 −b2 a−2b
:
a−b , a−2b
(a 6= 2b, a 6= b) ?
Answer: ............................................. 12. What is the value of
r q √ 3 x x x2 4 x ? 9 8
Answer: ............................................. 13. What is the solution of the inequality
x−2 (x+3)
≤0?
Answer: ............................................. 14. What is the equation of the line passing through the points (2, −2) and (3, 3) ? Answer: ............................................. 15. What is the maximal domain of the function f : R 7→ R, f (x) =
√ 2 − 3x + x2 ?
Answer: ............................................. 16. What is the period of the function f : R 7→ R, f (x) = sin(4x) ? Answer: ............................................. 17. What is the exact value of the expression cos 604π ? 6 Answer: ............................................. 18. How many 2-element subsets does the set {1, 2, 3, 4, 5, 6} have? Answer: ............................................. 19. How many different ways can six people be seated on six chairs? Answer: ............................................. 20. How many 5-digit numbers can be made out of the digits 1, 2, 2, 2, 3 ? Answer: .............................................
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