For the following questions answer them individually
Walking at $$\ \frac{3}{4}\ $$of his usual speed, a man reaches his office 20 minutes late. Then his usual time for walking to his office is:
The perimeter of a certain isosceles right triangle is 10 + $$10 \sqrt{2}\ $$ cm. What is the length of the hypotenuse of the triangle ?
A Set A consists of integers 27, 28, 30, 32 and 33. If integer k is included in the average of set A will increase by 30%. What is the value of integer K ?
ABC is an equilateral triangle. Points D, E, F are taken in sides AB, BC, CA respectively, so that AD = CF. Then AE, BF, CD enclosed a triangle which is:
Chord PQ is the perpendicular bisector of radius OA of circle with center O (A is a point on the edge of the circle). If the length of Arc PAQ = $$\frac{2\pi}{3}$$. What is the length of chord PQ ?
For how many integral values of 'x' sin $$\ \phi=\frac{3x-2}{4}$$, where $$0^{0}\leq\phi\leq90^{0}$$
If $$\frac{1}{x^{2}}+x^{2}$$ represents the radius of circle P and $$\ \frac{1}{x}+x=17$$, which of the following best approximates the circumference of circle P ?
The radius of wheel moving on a road, is $$\ 8\frac{3}{4}$$ cm. How many rounds it will take to complete 55 meter distance.
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