2007,2009 GRE 数学 部份真题Thursday, December 13, 2007
1. If the sides of a right angled triangle are n, 2n-1, 2n+1 and 'n' being positive, then the value of 'n' is?
2. x<1Col A : x/yCol B : x+yb)8c)12d)15e)17Ans: BAns: DAns: CAns: AAns : 10 Ans: CA. 0B. 1C. 2D. 3E. 4Ans : E3. A and B are independent events, p(A)=0.6 and p(B)=0.8.Col a : probobality of happening event A or B isCol b : 0.924. Col a: 1+1/2-1/4+1/8-1/16+1/32Col b: 2(1-1/2+1/4-1/8+1/16-1/32)5. 1cake +1pie=11.25 and 4cakes+5pie=50Col a: cost of cakeCol b: cost of pie6. What is the value of 'n' when 252^5 is divided by 6^n.Monday, November 19, 20071. Col A : Least +ve integer with 3 different prime factors, each greater than 6Col B : 1001
2. Twice the sum of 3 integers x ,y and z when divided by 7 gives remainder =1
wt is the remainder when x+y+z is divided by 7.?3.The area of rectangular region R is equal to the area of rectangular region T.

The Ratio of the length to the width of R is 3 to 1.the length & width of T are 12 & W, respectively.Col A : wCol B : 4
4. Area of a square is 9 and that of a rectangle is 8.ColA ColBperimeter of square perimeter of rectangle
5. Where will the point of intersection of the lines 3x - 5y = 7 and 2x + 10y = - 3 lie?
6. There are 37 employees in a company X. The month of july has more number of birthdays (of employees) than any other monthin the year.Col A: Number of Birthdays in JulyCol B: 3Ans: A7. (1/2 + 1/3)+ (1/4 -1/3) + (1/2-1/4)Ans : 1
8. X^2-x-2 = 0. Number of possible value of X..?
9. F(x) = x^2 + xCol A : F(x+1)Col B : F(x) + F(1)Ans : A10. Two Isosceles triangle was drawn, equal sides are 1, 1 in both triangle. Angle between equal side in one triangle is X, and insecond is Y. and given X > Y.Col A: area of triangle with angle XCol B: area of triangle with angle YAns: A11. Consider circle with centre O. AB is a chord of the circle. AOB is a right angle. C is a point on the circumference of the circlesuch that angle BOC = 60 degrees. Compare:Col A: Area of Triangle AOB
Col B: Area of sector BOC

Ans: A Tuesday, November 20, 2007
1)Twice the sum of 3 integers x ,y and z when divided by 7 gives remainder 1what is the remainder when x+y+z is divided by 7?
2) (1/2 + 1/3)+ (1/4 -1/3) + (1/2-1/4) = 1
3) 4 points A,B,C,D on a straight line such that AD:AB = 9:1 and AD:AC = 4:1points A,B,C,D are:-
A. -20, -8, -10, 16B. -20, -16, 11, 16C. -20, -16, -11, 16D. -20, -16, -11, 7E. -20, -10, -11, 7Ans: C4) If probability of event M occuring is <1/4Col a: prob of event M not occuringCol b: 3/45) A semicircle was given with area 2pie find the perimeter of the semicircleAns: 2pie+4
6) x when divided by 7 leaves remainder 4.What is the remainder when 2x + 5 is divided by 7?
7) The probability of raining tomorrow night is 0.46Col a Col bProbability of raining tomorrow nightand at high heat temp of 85degress is 0.54
Ans: B
Cool |x|<= 6, |y|<=4.