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. The breadth of a rectangle becomes one and a half times itself and the length increases by 40%. What is the percentage change in the area of the rectangle?
%
2. The volume of a cylindrical pipe is 17600 cc. Its height is 14cm and the external radius is 25cm. Find the thickness of the cylinder.
cm
3. Find the value of a for which a+5, 3a-10 and 2a+a/2 are in AP
4. A retailer buys 25 items from a wholesaler. The total price for which the flawless items were sold was equal to the price that he had paid for buying the 25 items and 20% of the items were defected. Find the gain percent of the retailer.
%
5. Find the sum of all two-digit natural numbers that are divisible by 4.
6. Find the value of (n-r), when 7/2<(r+5)/2<=4 and P(n,r)=60
7. Find the least possible value of x, (5x-2)/3-(7x-3)/5>=x/4
8. Find the value of k for which the equations have infinite solutions.
(k-3)x+3y=k and kx+ky=12
9. Find the value of (sinA+(sinA)2) if (cosA)2+(cosA)4=1
10. How many straight lines can be drawn by joining 12 points in a plane when no three points are collinear?