1
JEE Main 2020 (Online) 5th September Morning Slot
+4
-1
A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If x denotes the percentage of them, who like both coffee and tea, then x cannot be :
A
63
B
36
C
54
D
38
2
JEE Main 2020 (Online) 5th September Morning Slot
+4
-1
If the minimum and the maximum values of the function $$f:\left[ {{\pi \over 4},{\pi \over 2}} \right] \to R$$, defined by
$$f\left( \theta \right) = \left| {\matrix{ { - {{\sin }^2}\theta } & { - 1 - {{\sin }^2}\theta } & 1 \cr { - {{\cos }^2}\theta } & { - 1 - {{\cos }^2}\theta } & 1 \cr {12} & {10} & { - 2} \cr } } \right|$$ are m and M respectively, then the ordered pair (m,M) is equal to :
A
$$\left( {0,2\sqrt 2 } \right)$$
B
(-4, 0)
C
(-4, 4)
D
(0, 4)
3
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
4
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
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