A = {x: x is a natural number less than 8}
1. Write in roster form.
2. Write a subset of A containing all even numbers in A.
3. Which of the following could not be the number of elements of power set of a set [2, 8, 10, 16]?
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There are three odd numbers and one even number. What type of number is their sum ?
Correct option is (D) Odd number Sum of three odd numbers is odd. Sum of an odd number and an even number is odd. \(\therefore\) Sum of three odd numbers and one even number is odd.
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There are three odd numbers and one even number. What type of number is their sum ?
2 Answers
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If A=subset 1,2subset,B=subset 1,2,e,4subset,C=5,6subset, and D= subset 5,6,7,8subset then check A×C is a subset of B×D or not.
A = {1,2}, B = {1,2,3,4} C = {5,6} D = {5,6,7,8} A x C = {(1,5),(1,6),(2,5),(2,6)} B x D = {(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)} Clearly, A x C \(\subseteq\) B x D Alternate : A \(\subseteq\) B & C \(\subseteq\) D ∴ A x C \(\subseteq\) B x D.
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Let A={1,2 3,...,100} and R be therelation defined as ''is a cube number'' on A. write R as a subset of A×A. also, find the domain and range of.
A = {1,2,3,.....,100} R = {(a,b) ∈ A x A | b = a3} ∴ R = {(1,1),(2,8),(3,27),(4,64)} ∴ Domain of R is D = {1,2,3,4} & Range of R is RR = {1,8,27,64}
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Mean of first five even natural numbers is
Correct option is (A) 6 Mean \(=\frac{\text{Sum of first five even natural numbers}}5\) \(=\frac{2+4+6+8+10}5\) \(=\frac{30}5=6\)
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Mean of first five even natural numbers is
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In a senior secondary school,80 students play football or hockey.The number that play football is 5 more than twice the number that play hockey.If 15 students play both games and every student in the school plays at least one game,find (i)the number of students that play football (ii)the number of students that play football but not hockey (iii)the number of students that play hockey but not football.
I thought F or H = 80 is giving by n(F u H) = n(F) + n(H) - n(F n H)
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Let `N` be the set of all natural numbers and let `R` be a relation on `NxxN` , defined by `(a , b)R (c , d) a d=b c` for all `(a , b), (c , d) in Nxx
Correct Answer - (2,4) , (3,6)
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Find the mean of first 10 even natural numbers.
Given that the first 10 even natural numbers be 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 Mean \(=\frac{Sum\, of \,all \,numbers}{Total\,numbers}\) \(=\frac{2 + 4 + 6 + 8 + 10...
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