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 :
Is 6 a factor of n + 3?
I. n is even and divisible by 3.
II. n is divisible by a prime number.
The product of two integers a and b is 270. What is the LCM of a and b?
I. The GCD of a and b is 9.
II. a and b are divisible by 3.
What is the value of the positive integer n ?
I. $$1^2 + 2^2 + ...... + n^2 = 285$$
II. $$3 < n < 20$$
If a and b are positive integers such that the product ab is 30, then what is the value of a + b ?
I. a > b
II. $$1 < \frac{a}{b} < 2$$
If a, b, c are integers, is a + b + c divisible by 3?
I. a = 2b - 10 and c = 3b + 25
II. a + b + c is an odd integer.
If x is a non-negative integer, is x even ?
I. $$8^x$$ is an even integer.
II. $$9^x$$ is an odd integer.
Is $$\triangle ABC$$ equilateral ?
I. AB = BC
II. $$\angle{ABC} = 60^\circ$$
Is a + b ≠0, if a and b are real numbers ?
I. ab = 0
II. $$a^2 + b^2 = 0$$
If x and y are real numbers, is x > y ?
I. x is the smaller of the roots of $$x^2 - 1 = 0$$
II. y is the real root of $$y^3 - 1 = 0$$
If a and b are real numbers, is ab > 0?
I. $$2 \mid a \mid + \mid b \mid = 0$$
II. $$2 \mid a \mid = \mid b \mid$$
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