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 positive integer n odd?
I. 2n is even.
II. n(n + 1) = 6
Is x an integer?
I. 5x is a positive integer.
II. 10x = 1
Is $$3^n > 2^k ?$$
I. k = n + 1
II. n is positive integer
If x is a positive integer, is the HCF of 150 and x a prime number?
I. x is a prime number.
II. x < 4
If n and m are real numbers, is n < m ?
I. $$n^2 < m^2$$
II. $$\mid m \mid < \mid n \mid$$
Is the integer n divisible by 45?
I. n is a miultiple of 36
II. The units digit in n is 0
Is the integer n a prime?
I. 4 > n
II. n > 1
Is the positive integer n even?
I. $$n^4$$ is odd
II. $$2n^5$$ is even
What is the cost of laying an outside road all around the circular field ?
I. The breadth of the road is 5 m.
II. The diameter of the field is 500m and the cost of laying the road is Rs. 40 per sq.m
$$0 \leq \theta \leq 90^\circ \Rightarrow \tan \theta = ?$$
I. $$\theta$$ is an angle in a triangle.
II. $$\sin \theta = \frac{\sqrt{3}}{2}$$