Question

Directions (Q.Nos. 6-7) Answer the questions based
on the following information.
In an examination, there are 100 questions divided into
three groups A, B and C such that each group contains at
least one question. Each question in group A carries 1
mark, each question in group B carries 2 marks and each
question in group C carries 3 marks. It is known that the
questions in group A together carry at least 60% of the
total marks.
(2004)
6)) If group B contains 23 questions, then how many
questions are there in group C ?
(a) 1
(b) 2
(d) Cannot be determined
(C) 3​

Answer 1

Answer:a

Step-by-step explanation:

Group B contains 23 questions => Marks of group B = 46

Let the number of questions in A be x and in C be 77-x.

Marks of group A = x

So, x/(x+46+3*77-3x) >= 60%

=> 5x >= 3(277-2x)

=> 11x >= 831

=> x >= 75.54

=> x = 76 (min)

So, the possible number of questions in group C = 1.