Which of following sets is an empty set? from Mathematics Sets

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 Multiple Choice QuestionsShort Answer Type

161.

(a) Write set A = collection of factors of 140.

(b) Write set B = collection of prime factors of 140.

(c) By considering the sets A and B obtained above, insert appropriate symbol ∊ or ∉ for each blank spaces :

(i) 1 ............ A            (ii)  1 ............ B            (iii)   7 ........... A

(iv) 14 ......... B            (v) 28 ........... A            (vi)  28 .......... B

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162. Write the following in roster/tabular form :

(a) A = Set of all even divisors of 168.

(b) space space space space space space space space space space space space space space space space space space space space straight B space equals space left curly bracket straight x space colon space straight x space equals space fraction numerator straight n plus 1 over denominator straight n plus 3 end fraction comma space straight n element of straight N comma space straight n less or equal than 5 right curly bracket

(c) C = Set of vowels in English alphabet that precede I

(d) D = {x :x is a letter of word MATHEMATICS}

(e) E = {x : x is a positive integer, x< 40}
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163. Which of following sets is an empty set?


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(i) Non-empty       (ii) (i) Non-empty      space space space space space left parenthesis iii right parenthesis space straight ϕ        space space space left parenthesis iv right parenthesis space straight ϕ

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164.

Find the pairs of equal sets, if any, giving reasons.

(i) A = {2, 3}, B = {x : x is a solution of x2 + 5x + 6 = 0}

(ii) A = {x : x is a letter in the word “FOLLOW”}, B = {y : y is a letter in the word “WOLF”}

(iii) A = {x : x is multiple of 10}, B = {10, 15, 20, 25, 30 ........}

(iv) A = {2}, B = {x : x is an even prime number}

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165.

State which of the following sets is finite or infinite :

(i) The set of lines which are parallel to the x-axis.

(ii) The set of letters in the English alphabet.

(iii) The set of animals living on the earth.

(iv) The set of circles passing through the origin.

(v) The set of prime divisors of 25.

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166.

From the sets given below, select equal sets :

A = {0, a}, B = {1, 2, 3, 4}, C = {4, 8, 12}, D = {3, 1, 2, 4}, E = {1, 0}, F = {8, 4, 12} G = {x : x ∊ N and x is multiple of four and less than 13

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167.  Write all the proper subsets of A = {4, 6, 8, 10}
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168.

Give examples of sets A, B, and C, such that space space straight A subset of straight B comma space straight C subset of straight B comma space but space straight A ⊄ space straight C.



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169.

Matcht the following :



                 Column A                                                  Column A

(a) space space space space space space space left parenthesis straight M comma space straight A comma space straight T comma space straight H comma space straight E comma space straight I comma space straight C comma straight S right curly bracket space space space space space space space             space space space space space space space space space space space space space space space space space left parenthesis straight i right parenthesis space left curly bracket straight x space colon space straight x element of straight N space and space straight x space is space straight a space multiple space of space 5 right curly bracket

(b) {5, 10, 15, 20, 25, ........}              space space space space space space space space space space space space space space space space space space space space space space space left parenthesis ii right parenthesis space left curly bracket straight x space colon space straight x space fraction numerator straight n over denominator straight n plus 1 end fraction comma space straight n element of straight N right curly bracket


space space space space space left parenthesis straight c right parenthesis space space space space space open curly brackets 1 half comma space 2 over 3 comma space 3 over 4 comma space 4 over 5 comma space..... close curly brackets                space space space space space space space space space space left parenthesis iii right parenthesis space space space left curly bracket straight x space colon space straight x space is space straight a space letter space of space the space word space MATHEMATICS right curly bracket

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170.

Which of the following sets are equal?

(a) A = {x : x is letter of the word “WOLF”}

(b) B= {x:x is letter of the word “FOLLOW”}

(c) C = {x : jc is a letter of the word “FLOWER”}

(d) D = {x : x is a letter of the word “FLOW”}

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