Correct Answer: 15

Solution : Given: A boat goes 10 km upstream in 50 minutes.
The speed of the stream is 3 kmph.
Upstream speed in km/h = $\frac{10}{50}×60=12$ kmph
Let the speed of a boat in still water be $x$ kmph.
We know that,
Upstream speed = speed of

Correct Answer: Assam .

Solution : The correct option is - Assam

In the northeastern Indian state of Assam, Bihu is one of the most important festivals. 'Rongali' or 'Bohag Bihu' is observed in April, 'Kongali' or 'Kati Bihu' is observed in October or November, and 'Bhogali' or 'Magh Bihu'

Correct Answer: 6 : 11

Solution : Given,
The ratio of the area of two similar triangles = 36 : 121
If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.
⇒ $\frac{\text{(Area of

Correct Answer: An object of mass m moving with velocity v has a kinetic energy of (mv)/2.

Solution : The correct option is an object of mass m moving with velocity v has a kinetic energy of (mv)/2.

The incorrect statement asserts that the kinetic energy of an object with

Correct Answer: pounding against the windows

Solution : The most appropriate option is the third option. 

Explanation: The most appropriate option to substitute the underlined segment is pounding against the windows. This effectively conveys the intensity of the storm, as it describes the rain hitting the windows with

Correct Answer: $5\frac{1}{2}$

Solution : $\sin^{2}1^{\circ}+\sin^{2}11^{\circ}+\sin^{2}21^{\circ}+\sin^{2}31^{\circ}+\sin^{2}41^{\circ}+\sin^{2}45^{\circ}+\sin^{2}49^{\circ}+\sin^{2}59^{\circ}+\sin^{2}69^{\circ}+\sin^{2}79^{\circ}+\sin^{2}89^{\circ}$
Using the identity $\sin(90^{\circ} - \theta) = \cos\theta$, we get,
$\sin^{2}49^{\circ}=\sin^{2}(90^\circ-41^{\circ}) = \cos^2{41}^\circ$
$\sin^{2}59^{\circ}=\sin^{2}(90^\circ-31^{\circ}) = \cos^2{31}^\circ$
$\sin^{2}69^{\circ}=\sin^{2}(90^\circ-21^{\circ}) = \cos^2{21}^\circ$
$\sin^{2}79^{\circ}=\sin^{2}(90^\circ-11^{\circ}) = \cos^2{11}^\circ$
$\sin^{2}89^{\circ}=\sin^{2}(90^\circ-1^{\circ}) = \cos^2{1}^\circ$
$=\sin^{2}1^{\circ}+\sin^{2}11^{\circ}+\sin^{2}21^{\circ}+\sin^{2}31^{\circ}+\sin^{2}41^{\circ}+\sin^{2}45^{\circ}+\cos^{2}41^{\circ}+\cos^{2}31^{\circ}+\cos^{2}21^{\circ}+\cos^{2}11^{\circ}+\cos^{2}1^{\circ}$Each pair adds up to $1$ because $\sin^{2}\theta + \cos^{2}\theta = 1$
$=5+\sin^{2}45^{\circ}$
$=5+\frac{1}{2}$
$=\frac{11}{2}=5\frac{1}{2}$
Hence, the correct answer

Correct Answer:

Solution : Because there is no restriction on the rotation of the figure, we will check all possible orientations of the option figures to determine which one may fit in the question figure. By comparison of all the option figures, only the third option figure is embedded in

Correct Answer: neither loss nor profit

Solution : As per the graph,
The total income of companies M and N = 35 + 50 = Rs. 85 crore
The total expenditure of companies M and N = 45 + 40 = Rs. 85 crore
Since both the income and expenditure

Correct Answer: Zero

Solution : The correct option is zero.

Bacterial cells lack mitochondria for various reasons, including bacteria being prokaryotic cells, which implies their structures are significantly simpler than those of eukaryotic cells. Bacteria did not form mitochondria since they did not obtain these organelles through endosymbiosis.

Correct Answer: Golf

Solution : The correct answer is Golf.

Ryder Cup is a prestigious golf championship which is held every two years. It happens between the teams of the United States of America and Europe only. It was established in 1927 in the USA by Samuel Ryder. He