A particle moving in air increases its speed within 30 minutes. Find its acceleration.
1. Its initial velocity is 20miles per hour and its final velocity is 25 miles per hour.
2. The particle increases its speed by 5 miles per hour.
Are the two lines L1 and L2 parallel?
1. Both lines lie in the first, second and fourth quadrants.
2. The y intercepts of the lines L1 and L2 are 8 and 4 respectively.
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s,p and q are interior angles of an Isosceles triangle. Find the value of q.
1. s = 72°.
2. p and q are base angles of the triangle.
Is A an obtuse angle?
1. A is more than 90°.
2. A is a supplement of an angle B, an acute triangle.
Determine the value of angle k.
1. Angle k and m lies on a straight line.
2. Angle m = 39° .
A straight line L passes through (2,8) and the origin. Find the equation of a line perpendicular to L.
1. The line passes through the origin.
2. The line passes through (2,-0.5).
Two pipes supply waters to a cistern whose capacity of 15 cubic feet. How long does it take the two pipes to fill the cistern?
1. The first pipe supplies water at a rate (per minute) that is thrice faster than the second pipe.
2. The pipes fill 8 cubic feet of the tank in ten minute.
Two numbers 12 and t are two positive numbers with some similar properties. What is the value of t.
1. The Least Common Multiple of the two numbers 48.
2. The Greatest Common divisor of the two numbers is 4.
Consider a set S = {2, 4, 6, 8, x, y} with distinct elements. If x and y are both prime numbers and 0 < x < 40 and 0 < y < 40, which of the following MUST be true?
I. The maximum possible range of the set is greater than 33.
II. The median can never be an even number.
III. If y = 37, the average of the set will be greater than the median.