Recent questions tagged go-mathematics-1

In the set of natural numbers the binary operators that are neither Associative nor Commutative areaddition subtraction multiplication ...

According to the principle of logic, an implication and it's contrapositive must beboth true or both falseboth trueboth falsenone

Virat had 4 pairs of identical black socks and 5 pairs of identical green socks in a box. With his eyes closed he took them out one by one. How many socks should he take ...

Arvind was given an apple and a knife. He was asked to make it into a cube. What is the minimum number of cuts that he needs to make?4 6 8 12

Which of the following propositions is a tautology ?$(p \vee q) \to p$ $p \vee (q \to p )$$p \vee ( p \to q )$ $p \to (p \to q )$

A 6 digit number 123ABC is exactly divisible by $5,7$ and $9$. How many such possible numbers are there ?2 3 4 5

Rama wrote 5 different letters. He prepared 5 different envelopes for the 5 letters. If he randomly distributes the 5 letters to the 5 envelops what is the probability th...

If the determinant of an $n \times n$ matrix $A$ is zero thenrank of $A$ is $n$rank of $A\leq n-2$$A$ has at least one zero eigen valuethe system of equations $Ax=0$ has ...

Total number of Equivalent Relations that can be defined on set $\{1,2,3\}$ ?8 64 5 3

A subset of a countable setis countable is finite may or may not be countable none of the options above are true

Every element of some ring $(R,+,*)$ is such that $a*a=a.$ This ringis commutative is non-commutative may or may not be commutative none

A group has 11 elements. The number of proper sub-groups it can have is0 11 5 4

Let $A$ be a finite set of size $n$, the number of elements in the power set of $A \times A$ is$2^{2^n}$ $2^{n^2}$ ${(2^n)}^2$ ${(2^2)}^n$

The set $\{1,2,3,4,6,8,12,24\}$ together with the two binary operations LCM and GCD represents which of the following algebraic structure?group ring lattice field

At any time total number of persons on earth who have shaken hands an odd number of times has to bean even number an odd numbera prime number a perfect square

For a function to be invertible it has to beone to one onto both one to one and ontonone

The set $\{1,2,3\}$ is equal to$\{2,1,3\}$ $\{3,2,1\}$ $\{1,2,3,1\}$ All of the above

For a game in which $2$ partners oppose $2$ other partners, seven men are available. If every possible pair must play against every other pair, then the number of games t...

The number of elements in the power set of the set $\{ \{\{\}\}, 1, (2,3) \}$ is2 4 8 3

A student taking a History examination is directed to answer any seven of 10 essay questions. There is no concern about Order here, so the student can answer the examinat...

Let $G$ be a simple graph with $20$ vertices and $100$ edges. The size of the minimum vertex cover of $G$ is $8$. Then, the size of...

Let $X = \{2,3,6,12,24\}$ and $£$ be the partial order defined by $X £ Y$ if $x$ divides $y$. Number of edges in the Hasse diagram of $(X,&po...

Four couples decide to form a committee of four members. The number of different committees that can be formed in which no couple finds a place is? 10121416