1
COMEDK 2026 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

The absolute maximum and minimum values of the function $f(x)=\sin x+\sqrt{3} \cos x$ in $[0, \pi]$ are

A

Minimum value $=-\frac{1}{\sqrt{3}}$, maximum value $=2$

B

Minimum value $=\frac{1}{\sqrt{3}}$, maximum value $=2$

C

Minimum value $=\sqrt{3}$, maximum value $=2$

D

Minimum value $=-\sqrt{3}$, , maximum value $=2$

2
COMEDK 2026 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

Every term of a geometric progression is positive, and every term is the sum of the two preceding terms. Then the common ratio of the geometric progression is:

A

$\frac{1+\sqrt{5}}{2}$

B

$\frac{\sqrt{5}-1}{2}$

C

1

D

$\frac{1-\sqrt{5}}{2}$

3
COMEDK 2026 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { If } y=\tan ^{-1}\left(\frac{\sqrt{1+x^3}+\sqrt{1-x^3}}{\sqrt{1+x^3}-\sqrt{1-x^3}}\right) \text { then } \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d x}}= $$

A

$-\frac{3 x^2}{2 \sqrt{1-x^6}}$

B

$-\frac{6 x^2}{\sqrt{1-x^6}}$

C

$\frac{6 x^2}{\sqrt{1-x^6}}$

D

$\frac{3 x^2}{\sqrt{1-x^6}}$

4
COMEDK 2026 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

Vishnu has two jars of marbles, Jar A and Jar B.

  • Jar A contains 3 yellow marbles and 2 green marbles.

  • Jar B contains 4 yellow marbles and 3 green marbles.

Vishnu flips a fair coin.

  • If it lands heads, he picks two marbles at random without replacement from Jar A.

  • If it lands tails, he picks two marbles at random with replacement from Jar B.

Given that Vishnu picked one yellow and one green marble, what is the probability that they came from Jar B?

A

$\frac{21}{41}$

B

$\frac{49}{89}$

C

$\frac{40}{89}$

D

$\frac{20}{41}$