Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers.
What will be the length of side AC in a triangle ABC?
I. The angle bisector of angle A divides the opposite side in ratio 2 : 3.
II. The length of side AB is 12 cm.
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.
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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.
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.