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In the following questions a 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:
Does the point(x, y) lie in the first quadrant?
I. xy < -10
II. $$x + y \leq 10$$
Is 6 a factor of n + 3 ?
I. n is even and divisible by 3
II. n is divisible by a prime number
What is the height of the tree?
I. The height of mountain is 300mts
II. The angles of depression of the top of the tree and the bottom of the tree are $$45^\circ$$ and $$60^\circ$$ respectively as seen from the top of the mountain.
How many men are required to complete the work in 40 days?
I. 8 men and 10 women can complete the work in 20 days.
II. 12 women can complete the work in 30 days.
What is the value of x in the matrix $$A = \begin{bmatrix}x & 1 & 0 \\1 & 2 & 3 \\3 & 4 & x \end{bmatrix}$$
I. A is a singular matrix
II. A is a non-singular matrix
C is a point on the line joining B and E. D and A are point above BC such that $$\lfloor DCE = \frac{1}{2} \lfloor ACE$$. Is CD parallel to AB ?
I. ABC is a scalene triangle
II. BC = CE
What are the co-ordinates of the point Q ?
I. Q lies on the straight line l whose slopeis 3
II. l makes an intercept of 4 on y-axis
What is the number of divisors of n?
I. $$1 \leq n \leq 10,000$$
II. $$n = 6000$$
How many positive integers are less than n and relatively prime to n?
I. $$n = 2^3. 5^2. 7^3$$
II. n is composite
What is the first term of the Geometric Progression $$t_1, t_2, t_3 ..... ?$$
I. $$t_4 : t_3 = 2$$
II. $$t_5 = 64$$
Day-wise Structured & Planned Preparation Guide
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