Latest TCS Aptitude Question SOLUTION: If 75 % of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the qu

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If 75 % of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percentage answered both correctly?

Asked In TCS krishnaprasad TATA (11 years ago)

Solved Vignesh Read Solution (7)

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Read Solution (7) :

Vignesh  (11 years ago)

50% answered both correctly.

n(a^b) = n(a)+n(b)-n(a U b)
= 0.75+0.55-0.8
= 0.5
= 0.5*100
= 50%

Is this solution Helpfull? Yes (43) | No   

Kalyan Y. Karbhar  (11 years ago)

75% of student gives correct ans for first ques
55% of student gives correct ans for second quss
20% of student gives neither ,means 80% gives either of ques
hence.
n(A∩B)=n(A)+n(B)-n(AUB)
=75+55-80
=50%

Is this solution Helpfull? Yes (22) | No (1)  

Nizamuddin sayyed  (10 years ago)

IF 75 PERCNT GIVE CORRECT ANS FOR Q1
55 PERCNT GIVE CORRECT ANS FOR Q2
AND 20 PERCNT GIVE NEITHER CORRECT ANS FOR ANY QUES
IT MEANS 80 PERCNT GIVE ONLY 1 CORRECT ANS IT MAY BE Q1 OR Q2
SO ADD 75+55=130 AND IT SUBTRACT FROM 80.THAT MEANS 130-80=50% ANS

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Chittibabu  (9 years ago)

50 % of the people answer both the questions correctly
75+55 = 130
100-20 = 80
130-80 = 50
so 50/100*100 = 50 % is the correct answer

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phani  (11 years ago)

probabilty of both question to be answered correctly=75/100*55/100
=41.3%

Is this solution Helpfull? Yes (2) | No (21)  

ASHISH PANDEY  (9 years ago)

let strength of class = 100
no. of students with no correct ans= 20
no. of students with correct ans= 80
1 ques correctly answered by = 75 students(80-75=5 students left ) these 5 would have answered only 2nd question correctly out of 55 who answered 2nd ques correctly
so no. of students withs both ques correctly answered = 55-5 = 50 i.e 50%

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Mrityunjay  (7 years ago)

20% answered neither of the questions correctly then 80% is currect
80=75+55-(aꓵb)
80=130-(aꓵb)
(aꓵb)=130-80
(aꓵb)=50

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