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?
Official Solution
Correct Option:
(1)
The correct Answer is 45
About Sets And Relations - NATA
Sets And Relations is a vital chapter for NATA aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.
By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.
Frequently Asked Questions
Why focus on Sets And Relations PYQs?
Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.
How to best use this analysis?
Review the topic breakdown to see which sub-topics within Sets And Relations carry the most weight. Then, tackle the questions iteratively to solidify your understanding.
