For any two real numbers a and b.

a-b2+b-a2 is

If two marbles are picked at random, what is the probability that either both are red or both are green?

Study the information carefully to answer the following questions: An urn contains 5 red, 3 green, 2 blue and 4 yellow marbles. If three marbles are picked at random, what is the probability that one is green and two are yellow?

In each of the following questions, a question is followed by information given in them Statements I, II and III. You have to study the question along with the statements and decide the information given in which or the statements/ is necessary to answer the question. 

What is the cost of flooring the rectangular hall?

I. Length and the breadth of the hall are in the ratio of 3:2

II. Length of the hall is 48 m and cost of flooring is ₹ 850 Per sq.m.

III. Perimeter of the hall is 160 m and cost of flooring is ₹ 850 per sq m

In these questions, a question is given followed by information in three statements. You have to consider the information in all the three statements and decide the information in which of the statement(s) is not necessarily required to answer the question and therefore can be dispensed with. Indicate your answer accordingly How many students from institute 'A' got placement?

I. Number of students studying in institutes A and B are in the ratio of 3:4 respectively.

II. Number of students who got placement from institute B is 120% of the number of students who got placement from institute A

III. 80% of the students studying in institute B got placement.

Each of the questions below consists of a question and two statements numbered, I and II given below it. You have to decide whether the data given in the statements are sufficient to answer the question. Read both statements and choose the most appropriate option. Among M, N, D, P and K, who earns more than only the least earner among them?

I. N earns more than M and P but less than only D.
II. M earns more than P who earns more than K.

In each of these questions, a question is given followed by information in three statements. You have to find out the data in which statement(s) is sufficient to answer the question and mark your answer accordingly. What are the marks scored by Abhijit in English?

I. Marks scored by Abhijit in Maths are more than his marks in Science by 20.

II. Total marks scored by Abhijit in Maths, Science and English are 198.

III. Marks scored by Abhijit in Science are more than his marks in English by 12.

ΔPQR is right angled at Q. If cotP = 5/12, then what is the value of tanR ?

What is the value of (2/√3 +tan45° ) ?