JEE Main Sets Relations And Functions: Quiz!

In an international conference of 200 people, there are 53 Indian women and 39 Indian men. Of these Indian people, 7 are doctors and 42 are either men or doctors. There are no foreign doctors. How many women doctors are attending the conference?  

• 1

• 2

• 3

• 4

• { α∶ π/2≤α≤5π/6}

• { α∶ π≤α≤3π/2}

• {α∶π/2≤α≤3π/2}

• Both a & b

Which of the following is correct about the above functions? 

• F is a one-one onto function

• Z = r (cotθ + tanθ), so |z| = r

• F is a one-one but not onto function

• None of these

Which of the following is the empty set?

• S = qr

• R = qs

• Q = rs

• None of these

Two finite sets have ‘x’ & ‘y’ elements. The total number of subsets of the first set is 56 more than the total number of the second set. Which of the following are the values of ‘x’ & ‘y’?  

• 7, 6

• 5, 1

• 8, 7

• 6, 3

In a sports hostel, 21 are on the baseball team, 26 are on the hockey team and 29 are on the football team. 14 play hockey and baseball, 15 play hockey and football, and 8 play all three games. How many total noes of players are there?  

• 43

• 37

• 44

• 52

• {x : 2 ≤ x < 4 }

• {x : 2 < x ≤4 }

• {x : 2 ≤ x ≤ 4 }

• {x : 2 > x < 4 }