Correct Answer: ommission

Solution : The correct choice is the fourth option.

The incorrectly spelt word is "ommission", which contains an extra letter "m". Omission is the correct spelling, and it is the action of leaving out or excluding something.

The meanings of the other options are as

Correct Answer: RETIRING

Solution : Given:
CATERING

Let's compare all the option words with the word CATERING –

First option: ARGENTIC; All the letters of ARGENTIC are present in the word CATERING.
Second option: CREATING; All the letters of CREATING are present in the word CATERING.
Third option: RETIRING; Two

Correct Answer: Mother-in-law

Solution : Following the instructions of the question, the family tree will be –

Here, the quadrilateral represents the male and the circular figure represents the female in the figure.

So, Maaya is the mother-in-law of Preeti. Hence, the first option is correct.

Correct Answer: upon

Solution : The fourth option is the correct choice.

Hinges upon is a common expression, meaning that something depends or relies on something else. In this context, it suggests that everything is dependent on what happens next.

Therefore, the complete sentence is: Everything hinges upon what happens

Correct Answer: 2

Solution : (1+ sin⁴ A – cos⁴ A) cosec² A
= [1+ (sin² A)² – (cos² A)²] cosec² A
= [1+ (sin² A + cos² A)(sin² A – cos² A)] cosec² A 
=

Correct Answer: 154

Solution : Given:
+ means –, – means ×, × means ÷, ÷ means +
137 ÷ 56 × 7 – 6 + 31 = ?

After interchanging the given mathematical signs, we get –
137 + 56 ÷ 7 × 6 – 31
137 + 8

Correct Answer: Comparsion

Solution : The third option is the correct choice.

The incorrectly spelled word is Comparsion. The correct spelling is comparison. The error lies in the placement of the letters a and I. The correct spelling follows the sequence "compar" followed by ison, whereas the incorrect

Correct Answer: 16

Solution : The greatest number that divides 261, 853, and 1221, leaving a remainder of 5 in each case, is the greatest common divisor (GCD) of (261 – 5), (853 – 5), and (1221 – 5). 
So, we need to find the GCD of 256, 848, and

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: 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}