Gradutate Record Exam

1. A triangle ABC is given, in which lengths of two sides were given as BC = 12 , AC = 13 and the perimeter of the triangle is 32.
Col A: Measure of angle of B
Col B: 90

2. Given the average of seven numbers as 35. When k is added to it, if the average of eight numbers remains 35, then what is the value of k?

3. Col A: 2^-1 + 1/(2)^-1
Col B: (3)^-1 + 1/(3)^-1

4. If x > 0 and y > 0, then
Col A: sqrt(xy)
Col B: sqrt(x+y)

5. Given a cube consisting of small tiles of dimension 1feet, the small tiles spread across length are 9 in amount, across height are 3 in amount and across width are 6 in amount{not sure}. Find the total surface area of cube?

6. Given a circular flower garden with radius 'r' and a stone walk surrounds the garden whose thickness is given as half the circular garden.
Col A: Area of circular garden
Col B: Area of stone walk