Mathematics Tes...

A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more than the saving of immediately previous month. His total saving from the start of service will be Rs. 11040 after.

A person is to count 4500 currency notes. Let a_n denote the number of notes he counts in the nth minute. If a₁ = a₂ = ... = a₁₀ = 150 and a₁₀, a₁₁, ... are in an AP with the common difference –2, then the time taken by him to count all notes is

There are two urns. Urn A has 3 distinct red balls and urn B has 9 distinct blue balls. From each urn two balls are taken out at random and then transferred to the other. The number of ways in which this can be done is

Consider the following statements 

P: Suman is brilliant 

Q : Suman is rich 

R: Suman is honest 

The negation of the statement Suman is brilliant and dishonest if and only if Suman is rich can be expressed as

Directions: Assertion–Reason type questions. Each of these questions contains two statements: statement–1 (Assertion) and Statement–2 (Reason). Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice.

Let p be the statement "x is an irrational number", q be the statement "y is a transcendental number". and r be the statement "x is a rational number iff y is a transcendental number". 

Statement–1: r is equivalent to either q or p. 

Statement–2: r is equivalent to ~ (p ↔ ~q).