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Correct Answer: $2\operatorname{cosec A}$

Solution : $\frac{\sin A}{1+\cos A}+\frac{1+\cos A}{\sin A}$
$=\frac{\sin^2 A + (1 + \cos A)^2}{\sin A (1 + \cos A)}$
$=\frac{\sin^2 A +1 + 2\cos A + \cos^2 A}{\sin A (1 + \cos A)}$
$=\frac{2 + 2\cos A}{\sin A (1 + \cos A)}$ [$\because \sin^2 A +

Correct Answer: 3 cm

Solution :
Checking for the triangle by using Pythagoras theorem.
$9^2 + 12^2 = 15^2$
Thus, The triangle is right-angled.
Given, AB = 9, BC = 12 cm
OD = OE = OF = $x$ cm (radius of the circle)
And, BEOD is a square. 
AD

Correct Answer: destroy

Solution : The correct choice is the fourth option.

Produce means to create, generate, or bring forth something, such as goods, crops, or information.
Destroy, on the other hand, means to demolish, break down, or eliminate something, causing it to cease to exist.

The meanings of the

Correct Answer: OGO

Solution : Given:
HER : GCM : : TOP : SMK : PIT : ?

Subtract 1, 2, and 5 from the place value of the first second and third letter, to obtain the required missing term –
Like, HER : GCM→H – 1 = G; E

Correct Answer: 861 : 1012

Solution : As per the given bar graph:
The number of females in India in 1961 = 21 crore
The number of males in India in 1961 = 23 crore
R₁ = $\frac{\text{The number of females in India in 1961}}{\text{The number of males in

Correct Answer: 880

Solution : The volume of a cylinder, $V = \pi r^2 h$, where $r$ is the radius and $h$ is the height.
⇒ $h = \frac{V}{\pi r^2}$
Given that $V = 6160 \, \text{cm}^3$, $r = 14 \, \text{cm}$, and $\pi = \frac{22}{7}$
$\therefore h = \frac{6160}{\frac{22}{7}

Correct Answer: 4

Solution : Given:
(I) A, B, C, D, E, F and G are seven friends having different heights. A is taller than C but shorter than B.
B > A > C
(II) C is taller than F but shorter than A. B is taller than A

Correct Answer: Governor

Solution : The correct answer is Governor.

According to this article, the President or Governor shall not be answerable to any court for the exercise and performance of the powers and duties of his office or for any act done or supposed to be done by

Correct Answer: Kerala

Solution : The correct option is Kerala.

The Indian martial art known as Kalaripayattu, or simply Kalari, has its roots in Kerala. Kalaripayattu, one of the oldest still practised martial arts in the world, is renowned for its long-standing history among Indian martial arts.

Correct Answer: 20%

Solution : Here SP is the selling price and CP is the cost price.
CP for Arun = Rs. 120
Profit = 25%
SP of apple = $\frac{125}{100}×120$ = Rs. 150
Again, SP by Divya = Rs. 198
Including profit = 10%
CP for Divya = $\frac{100}{110}×198$