60 is 20% less then what number


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Application of sets
Example: - In a class of 80 boys, there are 60 boys who play rugby and 35 play tennis. Use Venn diagrams to show how many boys play both the games? How many play rugby only and how many play tennis onl..
Properties of Complex numbers
Properties of Complex numbers - If Z, Z 1 and Z 2 are complex numbers, th..
Skew-Symmetric Matrix:
A square matrix A = [a i j ] is said to be skew-symmetric if the (i,j) t h element of A is the negative of the (j,i) t h element of A i.e., if a i j = -a j i for all i, j. In particular, for i = j, we have Thus the diagonal elements of a skew symmetric matrix are all zero. ..
Factorisation using Identities
Recall the following identities for finding the products: Observe that the LHS in the identities are all factors and the RHS are their products. Thus, we can write the factors as follow..
General Term for Positive Integral Index
General Term for Positive Integral Index - For n N, we have . Let T r + 1 (0 r n) be the (r+1) t h term in the expansio..
A recurring decimal can be expressed as a fraction
A recurring decimal is denoted by placing dots or a bar over recurring digits. Express the following recurring decimals as equivalent fractions: (a) (b) (c) (a) Let x = 0.4444 Multiply both sides by 10 ( one digit is recurring)..
Harmonic Means Insertion
Hence h 1 , h 2 ,....h n are the n harmonic means. If A, G and H respectively are arithmetic, geometric and harmonic means of two positive quantities a and b, then G 2 = A.H and A ≥ G ≥..
Some important results
or This property is known as COMPONENDO & DIVIDENDO. (6) If , then each of these ratios equals where l,m,n are real numbers. L..
Multiplication of Matrices
of (number of rows of A x number of columns of B). If A be a matrix of the order m x n and B be a matrix of the order n x q, then A and B can be multiplied and the product will be a matrix of order m x q. then Elements of rows of matrix A are multiplied by the corresponding elem..
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