Quantitative Aptitude (Maths)

Parin Sir > Quantitative Aptitude (Maths)
31
May
Super Set

☼ Super Set  :   If  A  B, we say that B is a super set of  A and we write, B  A.

There are infinite supersets of  any finite set but there are finite subsets of  any finite set….

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31
May
Subsets

☼ Subsets  :   Let A and B be two sets given in such a way that every element of  A is in B, then we say that A is a subset of  B and we write, A \subseteq

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31
May
Equivalent  Sets

☼ Equivalent  Sets  :   Two sets  A  and  B  are said to be equivalent if  n (A)  =  n (B).

■ Remark  :   Equivalent sets are not always equal but equal sets are always equivalent. Thus,  { 10, 20…

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31
May
Equal  Sets

☼ Equal  Sets  :   Two sets  A  and  B  are said to be equal, if each and every element of  A is in B and each and every element of  B is in A.

In this case we can write,  A  =  B….

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31
May
 Finite  &  Infinite  Sets

☼  Finite  &  Infinite  Sets  :   A set in which the process of  counting of  elements surely comes to an end or one can take an upper limit for that set, is called a finite set

A set which is not finite is known as an infinit…

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31
May
Empty Set

☼ Empty Set  :   A set containing no elements at all is called an empty set or a null set or a void set and it is denoted by . In property method,    =  { }.

 e.g. (i) {  x / x

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31
May
Singleton  Set

☼ Singleton  Set  :   A set consisting of  a single element is called a singleton set.

 e.g. { x / x + 5  =  7 }  =  { 2 },  which is a singleton set….

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31
May
How to describe or specify a set ?

Roster Method ( Listing Method ) :   Under this method, we just make a list of  the objects of  the set and put them within braces { }.

 e.g. (i) If  A is set of  first five prime numbers, then A  =  { 2, 3, 5, 7,…

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31
May
Set Theory and Function

Set  :   A well defined collection of  objects is called a set.

The objects in a set are called its elements or members.

\dpi{150}... </p> <div class=

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30
May
Examples(2)

(8) What is the least number which is divisible by  2, 5, 6  and  9  and  at the same time a perfect square ?

Soln. [ 2, 5, 6, 9 ]  =  LCM  of  2, 5, 6 and 9  =  2 \times

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