Question

in an examination paper of 5 questions 5% of the candidates answered all of them and 5% none of the rest, 25% answer only one question, and 20% answer only 4. if 24.5% of the entire candidates answer only two questions and 200 candidates answer on the 3, how many candidates appeared at the examination?

Answer 1

Step-by-step explanation:

Hello

let 100 be the total number

5 + 5 + 1/4 * 90 + 1/5 * 90 + 49/2

==> 10 + 45/2 + 18 + 49/2

==> (56 + 94)/2 = 150/2 = 75

So 25 remains who attend 3 questions

By the sum it is found to be 200

Hence 1/4 th equals to 200

Thus 1 stands for 800

Total number of students = 800

Verification:

All questions by 5% of 800 = 40

None by 5% of 800 = 40

Remaining = 800 - 80 = 720

One Q by 25% of 720 = 180

Four Qs by 20% of 720 = 144

Two Qs by 24.5 % of 800 = 196

Three Qs by = 200

Now let us check the total = 40 + 40 + 180 + 144 + 196 + 200 = 800 [VERIFIED]

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