1
KCET 2020
MCQ (Single Correct Answer)
+1
-0

The probability of solving a problem by three persons $$A, B$$ and $$C$$ independently is $$\frac{1}{2}, \frac{1}{4}$$ and $$\frac{1}{3}$$ respectively. Then the probability of the problem is solved by any two of them is

A
$$\frac{1}{12}$$
B
$$\frac{1}{4}$$
C
$$\frac{1}{24}$$
D
$$\frac{1}{8}$$
2
KCET 2020
MCQ (Single Correct Answer)
+1
-0

If $$n(A)=2$$ and total number of possible relations from Set A to set B is 1024, then $$n(B)$$ is

A
512
B
20
C
10
D
5
3
KCET 2020
MCQ (Single Correct Answer)
+1
-0

The value of $$\sin ^2 51^{\circ}+\sin ^2 39^{\circ}$$ is

A
1
B
0
C
$$\sin 12^{\circ}$$
D
$$\cos 12^{\circ}$$
4
KCET 2020
MCQ (Single Correct Answer)
+1
-0

If $$\tan A+\cot A=2$$, then the value of $$\tan ^4 A+\cot ^4 A=$$

A
2
B
1
C
4
D
5
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