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In the following questions, each question is followed by data 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 $$a > b $$?
I. $$a^{16} < b^{16}$$
II. $$a^{21} < b^{21}$$
If x and y are integers, is $$\sqrt{x^2 + y^2}$$ an integer?
I. $$8x^2 - y^2 = 0$$
II. $$x^2 + y^2$$ is an integer
What is the value of $$3a + 2b$$ ?
I. $$\frac{a}{b} =Ā \frac{2}{3}$$
II. $$2a - 3b = 10$$
How many sons does A have ?
I. Bis Dās brother and sonof A.
II. D's father has three children.
What is the distance between the cities P and Q
I. City A is 60 km from city Q
II. City P is 80 km form city A
What is the GCD of positive integers a and b?
I. a and b differ by 1.
I. a > b
What is the value of $$\mid x \mid$$?
I. $$x^4 - 4x^2 + 4 = 0$$
II. $$x$$ is even
What is the value of the middle term of the sequence of positive integers $$a_1, a_2, ... ... ..., a_{11}$$ if their sum is 1380?
I.Ā The average of first six terms is 100
II.Ā The average of last six terms is 150
Is $$x > y$$?
I. $$\mid xĀ \mid < 3$$
II. $$\mid y \mid > 3$$
How many positive integral multiples of 5 are there up to n?
I. 500 is the largest multiple of 10 that is $$\leq$$ n.
II. 1005 is the largest multiple of 5 that is not greater than n.
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