1
JEE Main 2022 (Online) 25th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The remainder when $$(11)^{1011}+(1011)^{11}$$ is divided by 9 is

A
1
B
4
C
6
D
8
2
JEE Main 2022 (Online) 25th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

$$\lim\limits_{x \rightarrow \frac{\pi}{4}} \frac{8 \sqrt{2}-(\cos x+\sin x)^{7}}{\sqrt{2}-\sqrt{2} \sin 2 x}$$ is equal to

A
14
B
7
C
14$$\sqrt2$$
D
7$$\sqrt2$$
3
JEE Main 2022 (Online) 25th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If $$A$$ and $$B$$ are two events such that $$P(A)=\frac{1}{3}, P(B)=\frac{1}{5}$$ and $$P(A \cup B)=\frac{1}{2}$$, then $$P\left(A \mid B^{\prime}\right)+P\left(B \mid A^{\prime}\right)$$ is equal to :

A
$$\frac{3}{4}$$
B
$$\frac{5}{8}$$
C
$$\frac{5}{4}$$
D
$$\frac{7}{8}$$
4
JEE Main 2022 (Online) 25th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Let $$[t]$$ denote the greatest integer less than or equal to $$t$$. Then the value of the integral $$\int_{-3}^{101}\left([\sin (\pi x)]+e^{[\cos (2 \pi x)]}\right) d x$$ is equal to

A
$$\frac{52(1-e)}{e}$$
B
$$\frac{52}{e}$$
C
$$\frac{52(2+e)}{e}$$
D
$$\frac{104}{e}$$
JEE Main Papers
2023
2021
EXAM MAP