1
KCET 2025
MCQ (Single Correct Answer)
+1
-0
If $\cos x+\cos ^2 x=1$, then the value of $\sin ^2 x+\sin ^4 x$ is
A
-1
B
1
C
0
D
2
2
KCET 2025
MCQ (Single Correct Answer)
+1
-0

The mean deviation about the mean for the date $4,7,8,9,10,12,13,17$ is

A
10
B
3
C
8.5
D
4.03
3
KCET 2025
MCQ (Single Correct Answer)
+1
-0

A random experiment has five outcomes $\mathrm{w}_1, \mathrm{w}_2, \mathrm{w}_3, \mathrm{w}_4$ and $\mathrm{w}_5$. The probabilities of the occurrence of the outcomes $w_1, w_2, w_3, w_4$ and $w_5$ are respectively $\frac{1}{6}, a, b$ and $\frac{1}{12}$ such that $12 a+12 b-1=0$. Then the probabilities of occurrence of the outcome $w_3$ is

A
$\frac{2}{3}$
B
$\frac{1}{3}$
C
$\frac{1}{6}$
D
$\frac{1}{12}$
4
KCET 2025
MCQ (Single Correct Answer)
+1
-0

A die has two face each with number ' 1 ', three faces each with number ' 2 ' and one face with number ' 3 '. If the die is rolled once, then $\mathrm{P}(1$ or 3$)$ is

A
$\frac{2}{3}$
B
$\frac{1}{2}$
C
$\frac{1}{3}$
D
$\frac{1}{6}$
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