If S 1 2 3 4 Then The Total Number Of Unordered Pairs Of Disjoint Subsets Of S Is
Solution: (4) S = {1, 2, 3, 4} According to the definition of disjoint sets, if there exist two sets... View Article
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If A 1 2 B 1 2 C 1 2 Then Which Of The Following Relation Is Correct
If A = {1, 2}, B = { {1}, {2} }, C = { {1, 2} }. Then, which of... View Article
If A And B Are Two Sets Then A Union B Intersection A Intersection B Is Equal To
If A and B are two sets, then (A ∪ B)’ ∩ (A’ ∩ B) is equal to (1) A’... View Article
The Set A X X R X 2 16 And 2x 6 Is Equal To
Solution: (1) Given: A = { x : x ∈ R, x2 = 16 and 2x = 6 } x2... View Article
If P Theta Sin Theta Cos Theta Root 2 Cos Theta And Q Theta Sin Theta Cos Theta Root 2 Sin Theta Are Two Sets Then
If P = {θ : sinθ – cosθ = √2 cosθ} and Q = {θ : sinθ + cosθ =... View Article
If A 4 N 3n 1 N N And B 9 N 1 N N Then
If A = { 4^n – 3n -1: n ∈ N } and B = { 9 (n -1) :n... View Article
Out Of 64 Students The Number Of Students Taking Mathematics Is 45 And The Number Of Students Taking Both Mathematics And Biology Is 10
Solution: (2) Let M denote the number of students who take Mathematics and B denote the number of students who... View Article
There Are 100 Students In A Class
Solution: (3) Let M denote the number of students failed in Mathematics, P denote the number of students failed in... View Article
If A X Y Y E X And B X Y Y X Then
If A = {(x,y) : y = e^-x} and B = {(x,y) : y = -x}. Then, (1) A ∩... View Article
If X N Z X Iy Z 2 1 N For All Integers N 1 Then N 1 X N Is
If Xn = {z = x + iy: |z|2 ≤ (1 / n)} for all integers n ≥ 1. Then... View Article
If The Number Of Elements Of The Sets A And B Is P And Q Respectively Then The Number Of Relations From The Set A To The Set B Is
Solution: (2) Let the number of elements in set A be p and number of elements in set B be... View Article
There Is A Group Of 265 Persons Who Like Either Singing Or Dancing Or Painting
Solution: (1) Let the number of people who like singing be n (S) = 200, who like dancing is n... View Article
The Number Of Students Who Take Both The Subjects Mathematics And Chemistry Is 30
Solution: (1) Let the number of students who prefer mathematics be x and chemistry be y. Given: (10 / 100)... View Article
The Set A X 2x 3 7 Is Equal To The Set
Solution: (1) Consider the inequality |2x + 3| < 7 Since the inequality has modulo sign, on simplifying, −7 <... View Article
In A Class Of 60 Students If 25 Students Play Cricket 20 Students Play Tennis And 10 Students
Solution: (3) The total number of students = n (U) = 60 Number of students who play cricket = n... View Article
The Total Number Of Subsets Of A Finite Set A Has 56 More Elements Than
Solution: (2) Let the number of elements in set A be p and set B be q. The power set... View Article
If X 4 N 3n 1 N And Y 9 N 1 N Where N Is The Set Of Natural Numbers Then X Y Is Equal To
Given: X = {4n – 3n – 1: n ∈ N} Y = {9(n – 1): n ∈ N} X... View Article
27 Nov 2020: The Hindu Analysis
UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 27th November 2020. Important news and... View Article
What Is The Chemical Composition Of Proteins
Proteins are large molecules consisting of many amino-acids connected by peptide linkages. Peptide bond is produced when carboxyl radical of... View Article
How Can You Convert A Galvanometer Into A Voltmeter
Voltmeter is an instrument used to measure potential difference between the two ends of a current carrying conductor. A galvanometer... View Article
