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Which of the following represents an empty set?
Question

Which of the following represents an empty set?

A.

Set of Vowels in the word SYNCH

B.

Set of Prime numbers lesser than 10

C.

Set of Consonants in the word GIRLS

D.

Set of Months of a year starting with the letter A

Correct option is A

1.Set of Vowels in the word "SYNCH"

  • Vowels in English:A, E, I, O, U.

  • Letters in "SYNCH":S, Y, N, C, H.

  • Analysis:"Y" can sometimes function as a vowel, but in "SYNCH," it acts as a consonant. Thus, there areno vowelsin "SYNCH."

  • Conclusion:This set isempty.

2.Set of Prime Numbers Less Than 10

  • Prime numbers < 10:2, 3, 5, 7.

  • Conclusion:This set isnot empty.

3.Set of Consonants in the word "GIRLS"

  • Letters in "GIRLS":G, I, R, L, S.

  • Vowels:I.

  • Consonants:G, R, L, S.

  • Conclusion:This set has 4 elements and isnot empty.

4.Set of Months of a Year Starting with the Letter "A"

  • Months starting with "A":April, August.

  • Conclusion:This set has 2 elements and isnot empty.

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