In the following questions each question is followed bydata 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 the integer p a prime number?
I. 2p has exactly 3 factors
II. p is an even number
Is $$\mid 15 - m \mid + \mid m - 15 \mid > 15 ?$$
I. $$m > 6$$
II. $$m < 7$$
For a positive real number x, is $$x^3 = 125?$$
I. $$x > 4$$
II. $$x < 6$$
What is the area of the rectangle ABCD?
I. The circumference of the rectangle is 24 cm.
II. The sides of the rectangle are in the ratio 1 : 2
What is the cost of each table?
I. 2 tables and 2 chairs cost Rs 10,000/-
II. 3 chairs and 3 tables cost Rs 15,000/-
What is the two digit number xy?
I. xy is a multiple of 97
II. x + y = 6
TA and TB are tangents to a circle from an external point T. Whatis the length of the chord AB?
I. Radius of the circle is 6 cm
II. AT = 8 cm
What is the sum of the two integers a and b?
I. LCM of {a, b} = 576
II. HCF {a, b} = 4
What is the value of $$\theta$$?
I. The matrix $$\begin{bmatrix}\tan \theta & 1 \\1 & 1 \end{bmatrix}$$
II. $$0 < \theta < \frac{\pi}{2}$$
For three non empty sets A, B and C, what is $$n(A \cup B \cup C)$$?
I. $$n(A \cup B) = 64$$
II. $$n(B \cup C) = 124$$