IBPS Clerk Mains 2018 Paper

(a) Let students who take Engineering and Medical be 4b& b respectivelyTotal students who take Commerce= (2a + 16) – (4b + b) = (2a + 16 - 5b)From A –4b – (2a + 16 – 5b) = 8– 2a + 9b = 24 … (i)Also,$\frac{b}{2a+16} = \frac{1}{8}$–2a + 8b = 16 … (ii)b = 8Total students in Coaching Institute = 64From B –$(2a + 16 - 5b) \times \frac{75}{100} = 4b$ … (i)6a + 48 – 15b = 16b31b = 6a + 48b =$\frac{6a+48}{31}$So, statement A alone is sufficient to answer the question but statement B alone is not sufficient to answer the question.