QOTD | Reasoning | Analytical reasoning

Question of The Day10-02-2020

60 boys are living in a hostel and like to play two sports viz. Cricket and Chess. (1/4)^th of the boys like to play cricket, (2/3)^rd of the remaining like to play chess. If 24 boys do not like to play any of the sport, then how many boys like to play both cricket and chess?

Answer

Correct Answer : a ) 9

Explanation :

Numbers of boys who play cricket (A) are =60×(1/4)=15

Now, remaining number of boys = 60 – 15 = 45

Thus,

Numbers of boys who like to play chess (B) are =45×(2/3)=30

According to the question,

Number of boys who do not like to play any of the sports = 24 boys

Therefore, the number of boys who like to play any of the sports will be n(A∪B) = Total number of boys – number of boys who do not to play any of the sports

⇒ 60 – 24 = 36

Thus, from set theory number of boys who do not like to play any of the sports (A∩B) will be given as

⇒ n(A∪B) = n(A) + n(B) - n(A∩B)

36 = 15 + 30 - n(A∩B)

Thus,

n(A∩B )= 45 - 36 = 9 boys

Hence, (a) is the required solution.

Such type of question is asked in various government exams like SSC CGL, SSC MTS, SSC CPO, SSC CHSL, RRB JE, RRB NTPC, RRB GROUP D, RRB OFFICER SCALE-I, IBPS PO, IBPS SO, RRB Office Assistant, IBPS Clerk, RBI Assistant, IBPS RRB OFFICER SCALE 2& 3, UPSC CDS, UPSC NDA etc.

Read Daily Current Affairs, Banking Awareness, Hindi Current Affairs, Word of the Day, and attempt free mock tests at PendulumEdu and boost your preparation for the actual exam.

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Jun 07

Word Of The Day

Shell

Noun: A hard rigid usually large covering of an animal.; The outside part of a fruit or seed.; Something like an external structure that resembles a shell.; A casing without substance.; The hard exterior of an egg.; A hard enclosing cover.