In questions a question is followed by data in the form of two statements labelled 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 :
At how many points do the two circles intersect ?
I. The radii of the two circles are equal.
II. The distance between their centres is 12 cms.
What is the share of A in a profit of ₹ 1,500 in that year ?
I. A’s capital is ₹ 5,000 more than that of B.
II. A and B are the only partners in the business.
For two sets A and B, what is $$n(A \cap B)$$ ?
I. n(A) = 6 and n(B - A) = 8
II. n(A - B) = 8 = n(B - A) and $$n(A \cup B) = 24$$
If ‘a’ is a positive integer, is it a prime number ?
I. It is odd number,
II. It is an even integer greater than 2.
If x and y are real numbers, what is the value of xy?
I. x + y = 16
II. $$x^2 + y^2 = 160$$
What is the value of $$\sin (2 \theta)$$ ?
I. $$tan \theta + \cot \theta = 3$$
II. $$(\cosec \theta + \cot \theta)(\cosec \theta - \cot \theta) = 1$$
What is the sum of the first 20 terms of the Anthmetic Progression ?
I. The sum of the first term and $$20^{th}$$ term of the AP is 120.
II. The common difference of the AP is 5.
What is the surface area of the cuboid ?
I. Ratio of its length to its breadth is 2 : 5.
II. Volume of the cuboid is 100 cu. units.
If ‘a’ is an integer, what is the value of a ?
I. $$a^2 = 9$$
II. $$a^2 + a = 6$$
If a and b are real numbers, is $$a^2 > b^2$$
I. a > b
II. a > 0
Day-wise Structured & Planned Preparation Guide
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