In the following questions a question is followed by data in the form of two statements labelled as I and Il. 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 :
What is the value of n ?
I. $$1^3 + 2^3 + 3^3 + ..... + n^3 = 225$$
II. n is positive integer
What is the day of $$31^{st}$$ December of an year ?
I. In that year the first of March was Monday.
II. That year was a leap year.
What is the Arithmetic Mean of the numbers x, y, z and t ?
I. x + 2y - z - 3t = K
II. 2x + y + 4z + 6t = L
What is the equation of a straight line ?
I. The line is parallel to 2x + 3y = 5.
II. The line does not pass through the origin.
What is the distance between two ships ?
I. Seen from the top of a mountain their angles of depression are $$60^\circ$$ and $$30^\circ$$.
II. Height of the mountain is 60 metres.
Is (x - a) a factor of the polynomial f(x) ?
I. f(a) ≠ 0
II. The sum of the coefficients of f(x) is constant.
What is the simple interest eamed yearly on a deposit in a bank ?
I. The amount deposited is ₹ 10,000.
II. The rate of interest is 8%.
What is the surface area of a sphere ?
I. The sphere is made of iron.
II. The radius of the sphere is given.