1
JEE Main 2020 (Online) 4th September Evening Slot
+4
-1
Let $$\mathop \cup \limits_{i = 1}^{50} {X_i} = \mathop \cup \limits_{i = 1}^n {Y_i} = T$$ where each Xi contains 10 elements and each Yi contains 5 elements. If each element of the set T is an element of exactly 20 of sets Xi’s and exactly 6 of sets Yi’s, then n is equal to :
A
30
B
50
C
15
D
45
2
JEE Main 2020 (Online) 4th September Morning Slot
+4
-1
A survey shows that 63% of the people in a city read newspaper A whereas 76% read newspaper B. If x% of the people read both the newspapers, then a possible value of x can be:
A
37
B
65
C
29
D
55
3
JEE Main 2020 (Online) 3rd September Evening Slot
+4
-1
Let R1 and R2 be two relation defined as follows :
R1 = {(a, b) $$\in$$ R2 : a2 + b2 $$\in$$ Q} and
R2 = {(a, b) $$\in$$ R2 : a2 + b2 $$\notin$$ Q},
where Q is the set of all rational numbers. Then :
A
Neither R1 nor R2 is transitive.
B
R2 is transitive but R1 is not transitive.
C
R1 and R2 are both transitive.
D
R1 is transitive but R2 is not transitive.
4
JEE Main 2020 (Online) 3rd September Morning Slot
+4
-1
Consider the two sets :
A = {m $$\in$$ R : both the roots of
x2 – (m + 1)x + m + 4 = 0 are real}
and B = [–3, 5).
Which of the following is not true?
A
A $$\cap$$ B = {–3}
B
B – A = (–3, 5)
C
A $$\cup$$ B = R
D
A - B = ($$-$$$$\propto$$, $$-$$3) $$\cup$$ (5, $$\propto$$)
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