[Mission 2022] Insta–DART (Daily Aptitude and Reasoning Test) 01 October 2021

There are 6 tasks and 6 people. Task 1 cannot be assigned either to person 1 or to person 2; task 2 must be assigned to either person 3 or person 4. Every person is to be assigned one task. In how many ways can the assignment be done?

In a chess competition involving some boys and girls of a school, every student had to play exactly one game with every other student. It was found that in 45 games both the players were girls and in 190 games both were boys. The number of games in which one player was a boy and the other was a girl is

Each of two women and three men is to occupy one chair out of eight chairs, each of which numbered from 1 to 8. First, women are to occupy any two chairs from those numbered 1 to 4; and then the three men would occupy any, three chairs out of the remaining six chairs. What is the maximum number of different ways in which this can be done?

-‘X’ is twice as old as ‘Y’ 3 years ago, when ‘X’ was as old as ‘Y’ today. If the difference between their ages as present is 3 years, how old is ‘X’ at present?

A candidate attempted 12 questions and secured full marks in all of them. If he obtained 60% in the test and all questions carry equal marks, then what is the number of questions in the test?