Let E and F be any two sets. Which of the following statements is NOT correct?
1
E-F=E-(E∩F)
2
(E∪F)-F=E-(E∩F)
3
E-(E∩F)=E∩FC
4
(E∪F)-F=(E-F)∪(E∩F)
Official Solution
Correct Option: (4)
The correct option is (D): (E∪F)-F=(E-F)∪(E∩F).
02
PYQ 2017
medium
general-aptitudeID: nata-201
A set P has 20 elements. The number of subsets of P containing odd number of elements is
1
218+20
2
219
3
219-1
4
220-128
Official Solution
Correct Option: (2)
The correct option is (B): 219.
03
PYQ 2017
medium
general-aptitudeID: nata-201
Let P={1, 3, 5, 7, 9} and R={(1, 3), (3, 5), (1, 5), (9, 7), (7, 5), (9, 5)}. Then R
1
is not reflexive but symmetric and transitive
2
is neither reflexive nor symmetric but transitive
3
is neither transitive nor symmetric but reflexive
4
is an equivalence relation
Official Solution
Correct Option: (2)
The correct option is (B): is neither reflexive nor symmetric but transitive.
04
PYQ 2017
medium
general-aptitudeID: nata-201
Let P={1,2,3} Q={2, 3, 4}. Then the number of elements in P\times Q is
1
9
2
7
3
6
4
4
Official Solution
Correct Option: (1)
The correct option is (A): 9.
05
PYQ 2023
medium
general-aptitudeID: nata-202
A "power set' is a set that
1
contains a finite number of elements
2
is a superset of all sets being considered
3
is a collection of all subsets of that set
4
contains an infinite number of elements
Official Solution
Correct Option: (3)
The correct option is (C):is a collection of all subsets of that set
06
PYQ 2023
medium
general-aptitudeID: nata-202
Which of the following options happen when the set of elements as given are put together?
1
2
3
4
Official Solution
Correct Option: (4)
The correct option is (D):
07
PYQ 2023
medium
general-aptitudeID: nata-202
In a class of 100 students, 55 students have passed in mathematics and 67 students have passed in Physics. Then, how many students have passed in physics only?
