CAT 2019 LRDI Questions with Answers 12

In the following the names of the faculties are referred by first letter of their names.

Given that each of MT and ET carries 100 marks. Each of MT and ET has at least four questions of 5 marks (4 x 5 = 20), at least three questions of 10 marks (3 x 10 =30) and at least two questions of 15 marks (2 x 15 = 30). These together add up to 80 marks. The remaining 20 marks can be of the following possible combinations. (Four questions of 5 marks) or (two questions of 10 marks) or (one question of 5 marks and 1question of 15 marks)or (two questions of five marks and one question of ten marks). Hence, the total number of questions in MT or ET can be 11 or 12 or 13. It is given that ET has more number of questions than in MT. Hence, MT has 11 or 12 questions.

It is given that the number of questions given by any faculty in both MT and ET together is the same. If MT has 12 questions and ET has 13 questions, or if MT has 11 questions and ET has 12 questions, this condition cannot be satisfied. Hence, MT has 11 (Five 5 marks, three 10 marks and three 15 marks) questions and ET has 13 questions (eight 5 marks, three ten marks and two 15 marks). This implies, each faculty has given four questions in MT and ET together. Since it is given that faculty A has given only one question in MT and each of the other faculties has given more than one question, each of the faculties B, C, D, E and F has given two questions in MT. This implies faculty A has given three questions in ET and all other faculties have given two questions each in ET. From the given data we get the following.

Except A, every other faculty gave at least two questions for MT and all the questions of a faculty appeared consecutively. Hence, 2^nd question in MT is given by F, 4^th by C, 10^th by D. B also has given two questions and both appeared consecutively. Hence, 6^th and 7^th questions are given by B and the 9^th question is given by E. In each test first all 5 marks questions appeared followed by 10 marks questions and then 15 marks questions. It can be understood that MT has five 5 marks, three 10 marks and three 15 marks. Hence, in MT questions 1 to 5 carry 5 marks each, 6 to 8 carry 10 marks each and 9 to 11 carry 15 marks each.

It can be understood that A has given three questions for ET and each of the others has given two questions. Hence, the 2^nd question of ET is given by D, the 4^th question by C, 6^th and 7^th questions by A, 9^th by E, 10^th and 11^th by B and 12^th by F. Since ET has eight 5 marks questions, three ten marks questions and two 15 marks questions, questions 1 to 8 of ET carry 8 marks each, 9 to 11 carry ten marks each, 12 and 13 carry 15 marks each. Thus, we get the following: