Mathematics Tes...

If three distinct numbers a,b,c are in G.P. and the equations ax² + 2bx + c = 0 and dx² + 2ex + f = 0 have a common root, then which one of the following statements is correct?

Two newspapers A and B are published in a city. It is known that 25% of the city populations reads A and 20% reads B while 8% reads both A and B. Further, 30% of those who read A but not B look into advertisements and 40% of those who read B but not A also look into advertisements, while 50% of those who read both A and B look into advertisements. Then the percentage of the population who look into advertisement is :-

The domain of the definition of the function 

Let N denote the set of all natural numbers and R be the relation on N × N defined by (a, b) R (c, d) if ad (b + c) = bc(a + d), then R is-

The smallest integer x for which the inequality  is satisfied is given by -

A point ‘z’ moves on the curve | z – 4 – 3i | = 2 in an argand plane. The maximum and minimum values of |z| are -

If the function f : [1, ∞) → [1, ∞) is defined by f (x) = 2^{x (x – 1)}, then f ^–1(x) is -

A committee of 11 members is to be formed from 8 males and 5 females. If m is the number of ways the committee is formed with at least 6 males and n is the number of ways the committee is formed with at least 3 females, then :

The number of four-digit numbers strictly greater than 4321 that can be formed using the digits 0,1,2,3,4,5 (repetition of digits is allowed) is :