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In the followings, 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.
what is average of $$x, y, z$$ and t ?
(I) The average of $$x$$ and t is and the average of y and z is also 5.
(II) $$x, y, z$$ and t are integers $$\geq 1$$.
What is the interest earned in one financial year on a term deposit in a bank?
(I) The amount deposit is Rs.10000.
(II) The rate of interest is 6.5% per annum.
Does the Set A contain primes?
(I) A has 99 elements in it.
(II) $$A = \left\{100! + 2, 100! + 3, ..., 100! + 100 \right\}$$
Is n a perfect square of an integer?
(I) n leaves remainder 2 when n is divided by 4.
(II) n leaves remainder 1 when n is divided by 8.
What is the number of vertices of the regular polygon?
(I) The sum of the angles subtended by the sides at the centre of the polygon 2 $$\pi$$
(II) The number of diagonals of the polygon is 170.
Find the value of $$\sin^{2}\theta + \sin \theta \cos \theta+ \cos^{2}\theta$$
(I) $$\theta ∈ \left(0, \frac{\pi}{2}\right)$$
(II) $$\sin \theta = cos \theta$$
What is the least value of $$\theta$$?
(I) The matrix $$ = \begin{bmatrix} \mathbf{\tan \theta} & 0 & 0\\ 0 & 1 & 1 \\ 0 & 1 & 1 \end{bmatrix}$$ is singular
(II) $$0 < \theta < \frac{\pi}{4}$$
What are the co-ordinates of the point P?
(I) P lies on the line of $$y = x$$
(II) P is at a distance of $$\sqrt{18}$$ units from the origin.
Is g : ℝ $$\rightarrow$$ ℝ an even function?
(I) $$g(x)= ax^{5}+bx^{3}+cx^{2} + x$$
(II)a, b, c are integers
What is the distance between the towns A and C?
(I) It takes 60 minutes to go from A to B
(II) It takes 90 minutes to go B to C
