To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of
6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000
candidates. Question B was answered correctly by 2,50,000 candidates. Question C was
answered correctly by 2,60,000 candidates. Both questions A and B were answered
correctly by 1,00,000 candidates. Both questions B and C were answered correctly by
90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates.
If the number of students answering all questions correctly is the same as the number
answering none, how many candidates failed to clear the test?
(A) 30,000 (B) 2,70,000 (C) 3,90,000 (D) 4,20,000
Answers
Answer:
(d) 4,20,000
Step-by-step explanation:
It is Given that :
Total number of candidates who gave the test = 6,30,000
No. of candidates who answered Question A correctly = 3,30,000 candidates.
No. of candidates who answered Question B correctly =2,50,000 candidates
No. of candidates who answered Question C correctly 2,60,000 candidates.
No. of candidates who answered Both questions A and B correctly = 1,00,000 candidates.
No. of candidates who answered Both question B and C correctly = 90,000 candidates.
No. of candidates who answered Both questions A and C = 80,000 candidates.
Let x = Total number of candidates who answered all questions correctly
We, know 630000 = 2x+ 150000 +100000 +80000 +60000+ 90000 +90000
630000 -570000 = 2x
x = 30000
The students failed to clear the test = 150000+ 60000+ 90000 +4x
= 300000 +4 ×30000
= 420000
