In the following questions each question is followed bydata in the form of two statements labeled as I and II. You must decide whether the data given in the statements are sufficient to answer the questions. Using the data make an appropriate choice from (a) to (d) as per the following guidelines:
Is the triangle with sides a, b and c equilateral?
I. $$a^2 = b^2 + c^2$$
II. $$a < b + c$$
How much amount is needed to fence the circularfield?
I. The radius of the field is half of its diameter.
II. The diameter of the field is 200 mts and the cost of fencing is Rs. 10 per meter.
In a triangle $$ABC, \angle B = 90^\circ$$. Then what is $$AB : BC : CA ?$$
I. $$\tan C = \frac{1}{2}$$
II. $$\sin^2 A + \cos^2 A = 1$$
What is the length of the train?
I. The train crosses a man standing onthe platformin 15 seconds.
II. The train crosses its own length in 25 seconds.
What is the slope of the line l in the xy - plane?
I. l passes through origin.
II. l passes through (1, 4)
What is the area of the triangle whose sides are a, b and C?
I. a + b = 14
II. b + c = 18
In how many days a piece of work can be completed by three men A, B and C?
I. Individually A and B can do the same amount of work in a day.
II. C can do double the amount of work than that of A.
What is the product of divisors of the natural number n?
I. $$d_1, d_2, ......... d_k$$ are all the positive divisors of n
II. n > 2
For real numbers x and y what is the value of x + 2y?
I. x > 0, y > 0
II. $$x^2 + 4y^2 + 4xy = 0$$
What is the ratio of the length to the diagonal of a rectangle whose dimensions are a and b?
I. $$4a^2 + 9b^2 = 12 ab$$
II. a > 0, b > 0
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