A management entrance test has to be solved in 150 minutes. There are no negative marks for wrong answers. There are three sections and questions in each section can be classified as : easy, moderate and difficult. All questions in the test carry equal marks.

An easy question can be answered in 40 seconds, while a moderate and difficult question can be answered in 1 min and 1.5 min respectively. Two candidates A and B take the test to maximize their scores. Both candidates can correctly identify the level of difficulty of each questions (easy, moderate and difficult). Probabilities of getting an answer correct for two candidates A and B are given below.

Easy

Moderate

Difficult

A

0.9

0.8

0.6

B

1

0.7

0.7

1

Type : Subjective

Question Statement :

If A wants to attempt as many questions as possible, then what percentage of difficult questions will he attempt?

Type in your answer as a decimal number rounded off to two decimal places. For example, if your answer is 22.5%, type in 0.23

2

Type : MCQ

Question Statement :

What is candidate B's highest possible score in the test, if every correct answer carries 1 mark?

3

Type : MCQ

Question Statement :

If weightage given to questions in section I, II and III is in the ratio 3 : 2 : 1 respectively, then how many moderate questions will a person with 100% accuracy attempt?

4

Type : Subjective

Question Statement :

If total time was 90 minutes instead of 150 minutes and all questions are of equal weightage of 1 mark, then what is the difference between expected marks of A and B?

Type in your answer as a decimal number rounded off to two decimal places. For example, if your answer is 22.526, type in 22.53

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