Thursday, December 17, 2009

　　2. Find the total number of 4-digit odd integers greater than 1000 which have 6 in their hundredth place?

　　3. Given x((75+y) + (75-y)) = 900.

　　Col A: xy

　　Col B: 100

　　4. Which of the following cannot be expressed as the sum of three consecutive integers?

　　A. 0

　　B. 1

　　C. 2

　　D. 3

　　E. 5

　　5. Given a < 0 < b < c

　　Col A: ac/b

　　Col B: ac

　　6. If 2^(2x+1) − 2^2x = 2^1000, then what is the value of x?

　　7. Col A: (x^x)^x

　　Col B: x^(x^x)

　　8. How many numbers among nine consecutive positive numbers are divisible by 9?

　　9. Given a set of numbers: {1/2, 1/8, 2, 8}

　　Col A: Median of the set

　　Col B: Mean of the set

　　10. There are 10 set of numbers. Each set contains numbers whose unit’s digit represent the set number.For example, if the set number is 1, the numbers in it are 21, 31, 51, and so on.. If the set number is 5 the numbers are 55, 75 and so on. So, if we take the cube of the numbers in set 7, then it represents which of the following set?

　　A. 3

　　B. 4

　　C. 5

　　D. 6

　　E. 7

　　11. Given that two points (0, 2) and (2, 0) lie on the circle.

　　Col A: Radius of the circle

　　Col B: 2

　　12. If x^2 + y^2 = 2xy, then

　　Col A: x

　　Col B: y

　　13. Given a set of three numbers {x, x^2, x^3}; -1 < x < 0. What is the ascending order of the set?

　　14. Given 7 < xy < 13, where x and y are positive integers. Find the total number of different possible values for XY?

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