40 Maths General Knowledge Questions And Answers
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
The product of 2 numbers is 1575 and their quotient is ​( frac{9}{7} )​. Then the sum of the numbers is
If 6 men or 8 chidren complete one task in 24 days, then how many days will be required to complete the task for...
Linear Functionals, Annihilator and Double Dual
The Matrix of Linear Transformation and Linear Functionals
Linear Transformation Part II – Inverse Linear Transformation and Isomorphism
Linear Transformation Part I – Algebra of Linear Transformation
Cayley Hamilton Theorem
Find the value of k, for which ​ [ f(x)=begin{cases} frac{sqrt{1+kx}-sqrt{1-kx}}{x}, text{if} -1le x<0 \ frac{2x+1}{x-1}, text{if} 0le x<1 end{cases} ]...
First and Second fundamental theorem of calculus
Every continuous function f defined on ([a, b]) is Riemann integrable
Every monotonic function on [a, b] is Riemann integrable
A bounded function ​( f:[a, b]to mathbb{R} )​ is Riemann integrable iff for every ​( epsilon>0 )​ there exist a partition ​( P_epsilon )​...
A metric space (X, d) is disconnected iff there exists a non-empty proper open & closed subset of X which is both open and...
Any two closed subset of metric space are connected iff they are disjoint
A metric space (X, d) is connected iff every continuous function is constant
Continuous image of connected set is connected
Introduction to Operations Research
The probability that a ticketless traveler is caught during a trip is 0.1. If the traveler makes 4 trips , the probability that he/she...