Directions: Enter your answer as an integer or a decimal if there is a single answer box OR as a fraction if there are two separate boxes — one for the numerator and one for the denominator.
1. Sam travels from A to B at 10km/hr and returns at 15km/hr. Pam travels from A to B and returns at 15 km/hr.Pam takes 4 hours less than Sam does. What is the distance between A and B in kilometers?
km
2. Find the radius of the circle x2+y2-4x+6y-51=0.
units
3. A is thrice as fast as B and B is twice as fast as C. How many minutes will A take to cover the distance that C covers in 42 minutes?
4. Find the value of f(g(2)), when f(x) = √ X - 2 and g(x) = √ X + 2 .
5. Let A = {1, 2, 3, 4, 5} and let f be a function from A to B defined by f(x) = y such that x+y = 6. Which is the greatest value of y?
6. Find the values of (a-b) if (x-1)(x+1) is the g.c.d of x3-3x2-x+a and x3+7x2-x+b
7. A square and an equilateral triangle have the same perimeter. If the diagonal of the square is 12*√2cm, then how many times √3 sq.cm. is the area of the triangle?
8. A circular park has radius 21 m. It has a road of width 7m running around it on the outside. Find the cost of painting the road at rate Rs 20 per square meter.
Rs.
9. Find a number whose 4% is 144.
10. What number should be added to each of 7, 16, 43 and 79 so that they are in proportion?