1
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

A geometric progression consists of an even number of terms. If the sum of all the terms is 5 times the sum of the terms occupying odd places, then the common ratio of the G.P is

A
3
B
2
C
5
D
4
2
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The particular solution of $$\frac{d y}{d x}+\sqrt{\frac{1-y^2}{1-x^2}}=0$$, when $$x=0, y=\frac{1}{2}$$ is

A
$$\sin ^{-1} x+\sin ^{-1} y=\frac{\pi}{6}$$
B
$$\sin ^{-1} x+\sin ^{-1} y=\frac{\pi}{2}$$
C
$$\sin ^{-1} x-\sin ^{-1} y=\frac{\pi}{2}$$
D
$$\sin ^{-1} x+\sin ^{-1} y=\frac{\pi}{3}$$
3
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the events A and B are mutually exclusive events such that $$P(A)=\frac{1}{3}(3 x+1)$$ and $$P(B)=\frac{1}{4}(1-x)$$ then the possible values of $x$ lies in the interval

A
$$\left[\frac{1}{3}, \frac{2}{9}\right]$$
B
$$\left[-\frac{1}{3}, \frac{5}{9}\right]$$
C
$$[0,1]$$
D
$$\left[-\frac{7}{9}, \frac{4}{9}\right]$$
4
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The mean of the numbers $$a, b, 8,5,10$$ is 6 and the variance is 6.80 , then which of the following gives possible values of $$a$$ & $$b$$

A
$$a=1, b=6$$
B
$$a=0, b=7$$
C
$$a=3, b=4$$
D
$$a=5, b=2$$
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