Gradutate Record Exam

1. Given N is a positive odd integer. If the number in the tens digit is double the digit at the units place then what is the value of N?
A. n > 90
B. 30 <> 50
D. 30 < src="http://www.drrajusgre.com/images/dec_img3.JPG">
Given a figure like above, with the sector angle given as 45degree & the side of the square is given as 'x'. Find the area of the shaded region?

4. If a, b, c are three integers with value 0, 1 or 2 and if (3^2)a + 3b + c = 25, then what is the value of a + b + c?

5. Given
3.s(n) = 1; if n is even
3.s(n) = -1; if n is odd
then what is 2^s(3) - 3^s(4)?

6. Given length of hall is 48 feet and width of hall is 10 feet. If it has to be covered by square tiles of length 8 inches and tiles come in packets of 100 tiles, then how many packets have to be brought?

7. Given four consecutive numbers and if the least number is x, then what is the arithmetic mean in terms of x?
(given question is similar to this)

8. If y > 0, 2x = y + 1, then for xy>0 what is the value of x?