M4maths Previous Puzzles

25 Jul 2022 Percentage

In an examination, 85% of the candidates passed in English and 65% of the candidates passed in Mathematics, but 5% failed in both of these subjects. If 154 candidates passed in both the subjects, the number of candidates who appeared in an examination was:

OPtion

1) 240
2) 210
3) 350
4) 140
5) 560
6) 420
7) 180
8) 280
9) 300
10) None of these

Solution

Given, 5% failed in both the subjects, so candidates passed in at least one subject=95%
Let total candidates=x, then 85% of x + 65% of x - 154 = 95% of x
0.85x + 0.65x - 154 = 0.95x
0.55x = 154
x = 280
Correct Option 8)

Correct Option: 8 Best Solution (1)

G.S.Kantharao   2 years AGO

Method 1
No of failed in both=5%
Passed atleast one=95%
N(E)=85%,N(M)=65%
N(E^M)=N(E)+N(M)-N(EUM)
=85%+65%-95%=55%=154
Total Students=154*100/55=280
So my option is 8 👈
Method 2
English passed candidates =85%
English failed candidates =15%
Candidates passed in Maths= 65%
Candidates failed in Maths =35%
Overall Failed Candidates =5%
Total Failed Candidates= 15%+35%-5%=45%
Now Total Passed Candidates =100%-45%=55%
55% = 154
100%=280
So Total Candidates Appeared in Exam =280
My option is 8 👈

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