QUANT this May.... enjoy....!!!!

1. A number 'N' is a 3 digit postive number. If 'X' is its hundredth digit & 'Y' is its units digit then the number 'N- 100X-Y ' will be divisible by which one of the following number.
a)3 b) 4 c) 5 d) 7

2. Given an equilateral triangle PQR, with PR has the base of the triangle.... and a line ST was drawn parallel to PQ such that point S is on the base PR and T on QR so that a triangle STR is formed......and the triangle STR is shaded . Then it was given that... if the area of the shaded region is 1/9 the area of equilateral triangle PQR. Find the ratio QT/TR ?

3. Given a series 3, -5, 2, -1, 3, -5, 2, -1....................
Find the 97th term?

4. If x* = 1 - x and y* = x, then what is the value of y?

5. If a plant grows half of its previous height every day, then what will be its ratio of increase of height for 4th day to 7th day increase?

6. The value of 9^60/3^20?
A. 3^160
B. 3^3
C. 3^2
D. 3^100
E. 3^40


7. Given a fraction 2/7, what is the 57th digit after decimal?
Ans is 5

8. (x - 1/x)/(x +1) = 99. Find (x - 1/x)/(x-1) ?

9. X and Y are positive integers and X-2/10 = Y
Col A: Units digit of Y
Col B: Tens digit of X.

10. Given a two figrures, first figure contains a square with a circle of radius of the circle is 'r' inscribed in it and the area outside the circle(within the square) is shaded . Second figure contains a circle radius of 'r' with a square inscribed in it and the area outside the square(within the circle) is shaded.
Col A: Area of Shaded region in the first figure
Col B: Area of Shaded region in the Second figure

11. If 2n+1 is the median of seven consecutive integers . What is the mean of the integers?
Ans: 2n+1

12. Col A: (5-1/4) square+(5+1/4)square
Col B: 50
Ans: A

13. The slope of line XY is given as -1/2.
Col A: X intercept of Line
Col B: Y intercept of Line.

14. There is a code to be made of length of 5 in which it consists of 3 alphabets and 2 digits from 0 to 9. The alphabets 'a,e,i,o,u,y' are not allowed in the alphabets, so how many codes can be made.Repeatitions is allowed in both alphabets and numeric.
Sol: 20*20*20*10*10

15. If q*r^2 <450 and q and r are prime numbers greater than 3. What is the maximum possible value of r?
A. 5
B.11
C.17
D.13