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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.
If $$115 < m < 125$$, then what is the positive integer m?
I) m leaves remainder 2 when divided by 4
II) m + 3 is a multiple of 11
What are the sides of right angled triangle?
I) The perimeter of the triangle is 60 cm
II) The difference between the height and the base is 14 cm
Is $$x + y$$ a positive integer?
I) $$x+3$$ is equal to the larger root of $$x^{2} - 16 = 0$$
II) $$y+3$$ is the real root of $$x^{3} + 27 = 0$$
Is the angle A of the triangle ABC acute?
I) ABC is a right angled triangle
II) $$\angle B = 90^{\circ}$$
What is the average of 5 real numbers a, b, c, d, e?
I) a + e = 20
II) a, b, c, d, e are in A.P
What is the share of A in the profit in a business at the end of the year when there are three partners A, B and C in the business?
I) The total profit in the business at the end of the year is Rs. 10,000
II) A's capital in the business is twice that of B.
If A is a set with 15 elements and P is a subset of A, then what is the number of subsets of A which are disjoint with P.
I) P has less than 7 elements
II) The largest subset of A which is disjoint from P has 10 elements
What is the number of common tangents to the two circles?
I) The number of points common to the two circles is 0.
II) The radii of the two circles are in the ratio 3 : 4
Is the function fan odd function?
I) $$f(- 2) = f(2)$$
II) $$f(- 3)= -f(3)$$
Is the positive integer n a prime"
I) $$n^{3}$$ has at least four divisors
II) $$n^{2}$$ has exactly three divisors
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