GRE quant database till oct 17th

1. If 0 < x < y < z, then
Col A: y/z
Col B: x/y

2. In 1990, the wages of the employees in a company is 'x'. If from 1990-1995, the increment of wages is 15% and from 1990-2000 the increment is 30% then what will be the increment form 1995-2000?

3. If y(0.375) = 1, then (y^2 -1) = ?

4. The line joining the origin and which of the following points have greater slope?
A. (-1, 2)
B. (-3,-3)
C. (1, 4)

5. Given b = -8 & (a+b)^2 = 36
Col A: a
Col B: b

6. A certain amount is increased by 30% from 1976-1984 and increased by 82% from 1976-1986.
Col A: Find the percentage increase from 1984-1986
Col B: 50%

7. If an integer n>2 takes the form k! and this satisfies if and only if the product of the 'n' numbers in that factorial should be less than or equal to k.
Col A: n!/(n-1)!
Col B: n!-(n-1)!/(n-2)!

8. The value of (5*4) + 2(5-8+3) =?

9. There are 10,000 numbers, ranging from 20 to 80. If 62 is 60th percentile, then
Col A: What percentile is 74
Col B: 70th percentile

10.

The radius of the smaller circle is 2 and radius of bigger circle is 5. If the tangent to the smaller circle intersects the bigger circle at ‘P’ and ‘Q’, then find the length of PQ?

11. For a series S1, S2, S3.......Sn. If S2 = 2 & Sn = Sn-1 + 2S2, then find S18?

12. Given a line passing through a point, & given slope, find the x-intercept?

13. There was a circle, keeping diameter as base… an isosceles triangle was drawn, such that its other vertex was on the circumference of the semicircle, the area enclosed between triangle and semicircle was shaded.
Col A: The area of the triangle
Col B: The area of the shaded region.

14. A company XXX sells z products, and price per product is some y. If the cost of product drops by 20% then by how much should the sales increase to keep the revenue as before?

15. Given a table
   X      f
   0      n
   1      100-n
Col A: Value of x for mean to be greater than 5
Col B: 50

16.

Col A: Area of the shaded region in the square
Col B: Area of the unshaded region in the square

17. If y = 2x+5 & x^2 = 4, then
Col A: y
Col B: 6

18. Two lines L1 and L2 are cut by a transversal at B and A respectively. E is a point on L2 such that angle BAE = 58. C is a point on L1 on the other side of transversal as E such that BC = CA.
Col A: Angle BCA
Col B: 60
Note: All angles are in degrees and figure was given.

19. Given x-intercept of a line = 2 & y-intercept = -1.
Col A: Slope of the line
Col B: -1/2

20. Given y = ax + b, such that slope of line = 2 and x-intercept = 5.
Col A: y-intercept
Col B: -10

21. Given average of 90 students in a class is 80. If the average of students who passed is 84 and average of students who failed is 60, then
Col A: Number of passed students
Col B: 75

22. Average of five numbers 22, 19, 25, 28, 26 is increased by adding 4.5 to each number, then what is the median of increased set of numbers?
A. 26.5
B. 24.5
C. 27.5
D. 28.5
E. 29.5

23. If N = 86^233 & P = 81^216, then
Col A: unit digits in N+P
Col B: unit digits in NP

24. Given equation of parabola as y = x^2+3. If the point A = (2, k) is on the parabola and B is the point at which it cuts y-axis, then AB =
A. 2
B. 3
C. sqrt(5)
D. sqrt(5) + sqrt(3)
E. sqrt(5) - sqrt(3)

25. Given equation of line as 2x+3y=1.
Col A: x-intercept
Col B: 1/2

26. If P1, P2 pipes together can fill a tank in 8 hrs and P3 pipe can fill in 12 hrs, then time in which P1, P2 & P3 together can fill tank?

27. Given A1 = 1/2 and A(n) = n/(n+1)*A(n-1). If A(k) = 1/15, then
Col A: k
Col B: 14

28. If a = 2^3*3^4*5^6 & b = 11^3*13^4*17^6, then
Col A: number of positive factors of A
Col B: number of positive factors of B

29. The Number of integer values of ‘x’ satisfying |3x-2| < 8 is ……

30. Given that 2x-1 > 0 & 3x-2 > 0, then
Col A: x
Col B: 7/12

31. The probability of a girl (some name) getting a line busy every time she calls is 2/3. She makes one call on each of 4 consecutive days.
Col A: Probability of she getting the line busy on each of the 4 days
Col B: ¼

32. If ABCD is parallelogram with adjacent sides 10 and 16, then
Col A: Area of ABCD
Col B: 155

33. If s+t+st is an even integer and s and t are positive integers
Col A: Remainder when s is divided by 2
Col B: Remainder when t is divided by 2

34. If the area of triangle with vertices (k, k), (k+4s, k), (k, k+s) is 32, then the value of s is?

35. Number of bacteria in pot A doubles every 2 hr whereas in pot B it increases by 50% in 1 hr. The number of bacteria in pot A and pot B at 8 in the morning is 5000.
Col A: Number of bacteria in pot A at 2 in afternoon
Col B: Number of bacteria in pot B at 2 in afternoon.

36. Which of the following is closest to 2400?
Options were such that by inspection you can easily guess the answer.
Ans: 51.4*41

37. If the angles of a triangle are 2x, x and x+20, then the greatest angle is
A. 60
B. 80
C. 70
D. 90
E. 100.

38. If B is 1m to the east of A, C is 1m to the north of B, D is 1m to the east of C, E is 2m to the north of D, F is 1m to the east of E, then what is the shortest distance between A and F?

39. The rent for a room is calculated as follows. For the first 4 hrs ‘r’ dollars is charged. From there on 0.2r dollars is charged per hour.
Col A: The rent charge for the first 9 hours
Col B: (9/5)*r.