In the following 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.
How old is Rakesh now?
(I) Seven years ago. Rakesh was older than Suresh by eight years.
(II) Presently Rakesh is thrice as old as Suresh.
Find the cost of two benches and three chairs?
(I) The cost of 5 benches, 10 chairs is Rs. 17500.
(II) The cost of benches, 11 chairs is Rs.27500.
Find the value of $$\frac{x{3} + y{3}}{x + y}$$
(I) $$x = \frac{4}{y}$$
(II) $$x^{2} + y^{2} = 12$$
Find the volume of the cone C
(I) Height of C $$>$$ radius of C
(II) Volume of the cylinder, whose radius and height are same and C, is 300 $$cm^{3}$$.
What is the number of elements in the set A?
(I) Number of elements in A $$\cup$$ B is 35.
(II) Number of elements in B - A is 7
(Here B is also a set)
What is the value of $$\cos^{4} \theta + \sec^{4} \theta$$ ?
(I) $$\sin^{2} \theta + \cos^{2} \theta = 1$$
(II) $$\cos \theta + \sec \theta = 2$$
What is cost price of the article?
(I) It is sold for Rs.X at a loss of 20%.
(II) If it is sold for Rs.(X + 50) the profit would have been 10%.
If a set X has 22 elements and A is a subset of X, then what is the number of subsets of X that ate disjoint from A?
(I) Set A has less than 10 elements.
(II) The largest subset of X disjoint from A has 14 elements.