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.
For non-zero real numbers a and b what is the value of $$\frac{2a + 3b}{3a + 2b}$$
I) a > 0, b = 2
II) $$\frac{b}{a} = \frac{1}{6}$$
If a, b, c, d are in Arithematic Progression what is the value of d - b?
I) a + b + c = 40
II) The common difference of that A.P is 4
How many students failed in Mathematics and Natural Science?
I) 12 student, passed in both Mathematics and Natural Science.
II) The number of passes in Mathematics exceed the number of passes in Natural
Science by 8.
What is the number of divisions of n?
I) $$n = n^{4}$$
II) $$a = p^{2}q$$, where p and q are distinct prime numbers
Is P the mother of Q?
I) P is not the brother of Q's Paternal uncle
II) Q is the daughter of P
How long would Gopal take to complete the work?
I) Goapl takes 10 days more than Shyam to complete the work.
II) Gopal and Shyam together can complete the work in 20 days
What is the value of $$\sin 4\theta$$?
I) $$\tan 2\theta + \cot 2\theta = 7$$
II) $$\sec 2\theta + \cosec 2\theta = 5$$