What is the set that represents the universal set?

{12, 14, 15, 18, 21}

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{10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21}

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{10, 11, 12, 14, 15, 18, 21}

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{21}

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Solution

The correct option is B {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21}
Universal set consists of all elements of set A, set B and all other elements. Here,
set A = {14, 21}
set B = {12, 15, 18, 21}
other elements = { 10, 11, 13, 16, 17, 19, 20}
Hence, the universal set is {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21}.

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Similar questions

Construct a frequency table for the following ages (in years) of 30 students using equal class intervals, one of them being 9-12, where 12 is not included.
18, 12, 7, 6, 11, 15, 21, 9, 8, 13, 15, 17, 22, 19, 14, 21, 23, 8, 12, 17,15, 6, 18, 23, 22, 16, 9, 21, 11, 16.

Q. Evaluate

∣ ∣ ∣ ∣ \begin{matrix} 13 & 16 & 19 14 & 17 & 20 15 & 18 & 21 \end{matrix} ∣ ∣ ∣ ∣

Q. Prove that:

∣ ∣ ∣ ∣ \begin{matrix} 13 & 16 & 19 14 & 17 & 20 15 & 18 & 21 \end{matrix} ∣ ∣ ∣ ∣ = 0

Q. The marks obtained by

10

candidates in English and Mathematics are given below:

Marks in English	$20$	$13$	$18$	$21$	$11$	$12$	$17$	$14$	$19$	$15$
Marks in Mathematics	$17$	$12$	$23$	$25$	$14$	$8$	$19$	$21$	$22$	$19$

Estimate the probable score for Mathematics if the marks obtained in English are

24

Q. In a survey, it was found that 64 families bought milk in the following quantities in a particular month. Prepare a frequency distribution with classes as 5−9, 10−14 etc.

19	16	22	9	22	12	39	19	6	24	16	18	7	17	20	25
10	24	20	21	10	7	18	28	14	23	25	34	22	14	33	23
13	36	11	26	11	37	30	13	22	21	32	21	31	17	16	23
15	27	17	21	23	14	24	8	9	15	29	20	18	28	26	12

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19	16	22	9	22	12	39	19	6	24	16	18	7	17	20	25
10	24	20	21	10	7	18	28	14	23	25	34	22	14	33	23
13	36	11	26	11	37	30	13	22	21	32	21	31	17	16	23
15	27	17	21	23	14	24	8	9	15	29	20	18	28	26	12

19	16	22	9	22	12	39	19	6	24	16	18	7	17	20	25
10	24	20	21	10	7	18	28	14	23	25	34	22	14	33	23
13	36	11	26	11	37	30	13	22	21	32	21	31	17	16	23
15	27	17	21	23	14	24	8	9	15	29	20	18	28	26	12

19	16	22	9	22	12	39	19	6	24	16	18	7	17	20	25
10	24	20	21	10	7	18	28	14	23	25	34	22	14	33	23
13	36	11	26	11	37	30	13	22	21	32	21	31	17	16	23
15	27	17	21	23	14	24	8	9	15	29	20	18	28	26	12