(2007,2009 GRE 数学部份真题) USIV 整理/usiv
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?
b)8
c)12
d)15
e)17
Ans: B
2. x<1
Col A : x/y
Col B : x+y
Ans: D
3. A and B are independent events, p(A)=0.6 and p(B)=0.8.
Col a : probobality of happening event A or B is
Ans: C
4. Col a: 1+1/2-1/4+1/8-1/16+1/32
Col b: 2(1-1/2+1/4-1/8+1/16-1/32)
5. 1cake +1pie=11.25 and 4cakes+5pie=50
Col a: cost of cake
Col b: cost of pie
Ans: A
6. What is the value of 'n' when 252^5 is divided by 6^n.
Ans : 10
Monday, November 19, 2007
湖北地图全图高清版大图
1. Col A : Least +ve integer with 3 different prime factors, each greater than 6
Col B : 1001
Ans: C
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.?
A. 0
B. 1
C. 2
D. 3
E. 4
Ans : E
The Ratio of the length to the width of R is 3 to 1.三亚两天游
攻略 the length & width of T are 12 & W, respectively.
Col A : w
Col B : 4
Ans: C
4. Area of a square is 9 and that of a rectangle is 8.
ColA ColB
perimeter of square perimeter of rectangle
Ans: D
5. Where will the point of intersection of the lines 3x - 5y = 7 and 2x + 10y = - 3 lie?
A. On X-Axis
B. On Y-Axis
C. In Quadrant I
D. In Quadrant III
E. In Quadrant IV
Ans : E
6. There are 37 employees in a company X. The month of july has more number of birthdays (of employees) than any other month
in the year.
Col A: Number of Birthdays in July
Col B: 3
Ans: A
7. (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..?
Ans: 2
9. F(x) = x^2 + x
Col A : F(x+1)
Col B : F(x) + F(1)
Ans : A
10. Two Isosceles triangle was drawn, equal sides are 1, 1 in both triangle. Angle between equal side in one triangle is X, and in
second is Y. and given X > Y.
Col A: area of triangle with angle X
Col B: area of triangle with angle Y
Ans: A
11. 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 circle
such that angle BOC = 60 degrees. Compare:
Col A: Area of Triangle AOB
Tuesday, November 20, 2007
1)Twice the sum of 3 integers x ,y and z when divided by 7 gives remainder 1
what is the remainder when x+y+z is divided by 7?
Ans: 4
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 = 4:1
points A,B,C,D are:-
A. -20, -8, -10, 16
B. -20, -16, 11, 16
C. -20, -16, -11, 16
D. -20, -16, -11, 7
E. -20, -10, -11, 7
Ans: C
4) If probability of event M occuring is <1/4
Col a: prob of event M not occuring
Col b: 3/4
5) A semicircle was given with area 2pie find the perimeter of the semicircle
Ans: 2pie+4
6) x when divided by 7 leaves remainder 4.What is the remainder when 2x + 5 is divided by 7?
Ans: 6
7) The probability of raining tomorrow night is 0.46
Col a Col b
Probability of raining tomorrow night
and at high heat temp of 85degress is 0.54
Ans: B
Cool |x|<= 6, |y|<=4.
Col a Col b
The maximum value of |y/x| 1
Ans: D
9) The volume and height of a cylinder is given as 54pi and 6. Find the circumference of the base of cylinder?
Ans: 6*pie
10) Given circle is x^2 + y^2 = 49 points on circle are A(3,a) and B(0,b) and given 'a' is positive and 'b' is negative.
Col A : length of segment AB
11) Given a figure of triangle with sides t, t, n. If the average of two angles of the triangle is 65 then what is the value of n?
Ans: 80
12) 0<1
Col a Col b
x y^2
Ans: D
13) xy+x(y+2) when divided by 2 leaves a remainder
Cola Colb
Remainder 0
Ans: D
Wednesday, November 21, 2007
1. x-y =5 & xy != 0
Col a: 1/x-1/y
Col b: 5
2. Given f(n+3)=f(n) and
f(-1)=6
f(0)= 5
f(1) = 4
then the value of f(Cool is
Ans: 6
3. Given 0<1
Col A: X^50+X^51+x^52
ColB : 3(x^52)
4. A circle is inscribed in a square of side 2m.
ColA: area of circle
ColB: pie
5. x^2+2x-8=0
Col A:The sum of the roots
Col B: -2
Ans: C
6. An regular pentagon and an equilateral triangle were given. The perimeter of pentagon is twice that of triangle.
Col A: Side of pentagon
Col B: Side of triangle
7. A telephone company has no.'s between 3000-3799. A Company called X uses the numbers from 3300-3499. Out of these
managers of Division1 level use numbers ending with 0 or 1. What percent of the telephone company numbers are used by
Managers of Division1 level of Comany X?
Ans: 5%
8. x^2=1/5(x^2+(8/x^2)) find the value of x?
Col A: x
Col B: 2
9. A triangle ABC is given. A point D divides the side AB such that a trainge ADC is formed and
AD/DB=1/3. If the area of the triangle ABC is r. Find the area of the triangle ADC in terms of r? Ans: r/4
10. If x = -1 then (1/x)+(1/x^2)+(1/x^3)+(1/x^4)=?
Ans: 0
11. If x is a positive number which leaves a remainder 2 when divided by 8 and when divided by 5 it leaves a remainder 3. Find the least possible number?
col B: 18
Ans: C
12. In a room there are more than 12 members which are divided into a 5 member group and a
8member group and a 12 member
group. Find the least possible members in that room such that finally none were left?
Col A the members in the room
Col B: 120
Ans: C
13. |x-2|>4 then which of the following is true with the above realation
A) -26
B) -4<4
C) -2<4
D) -6<6
Ans: A
14. A rectangular aquarium base has dimensions 10*8 and height 10. Aquarium is filled upto the height of 6, a solid bar is immersed
there by increasing the water level to 7.
Col a: the bar dimensions
Col b: 100 cubics
Ans:B
15. Col A: 50 square + 51 Square + 52 square
昆明石林值得去吗Col B: 3(square of 52)
