Correct Answer: 3

Solution : Let the three numbers be $x,y,$ and $z$.
The average of the first two numbers is 2.
$⇒x+y=2×2=4$
The average of the last two numbers is 3 and the average of the first and last numbers is 4.
$⇒y+z=2×3=6$
$⇒x+z=2×4=8$
Adding the above equations, we

Correct Answer: Sports TV is showing the matches live.

Solution : The correct choice is the first option.

The original sentence is in the passive voice, indicating that the matches are being shown live.

 The active voice structure in the case of the present continuous tense is: Subject + is

Correct Answer: A large number of trees were uprooted by the storm yesterday.

Solution : The correct choice is the fourth option.

Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence

Correct Answer: 60

Solution :
Given, $\overline{\mathrm{BD}} \perp \overline{\mathrm{AC}}$
$\mathrm{BD}=12 \mathrm{~cm}$, $\mathrm{m}(\overline{\mathrm{AD}})=6 \mathrm{~cm}$ and $\mathrm{m}(\overline{\mathrm{CD}})=4 \mathrm{~cm}$
$AC = AD + CD = 10$ cm
Area of $\Delta ABC$ = $\frac{1}{2}\times \text{base}\times \text{height}$
= $\frac{1}{2}\times AC\times BD$
= $\frac{1}{2}\times (6+4)\times 12$
= $60$ cm²
Hence, the correct answer is 60.

Correct Answer: Charles Cornwallis

Solution : The correct option is Charles Cornwallis.

The Permanent Settlement in Bengal was introduced in 1793 during the governorship of Lord Cornwallis. Lord Cornwallis was the Governor General of Bengal from 1786 to 1793. The Permanent Settlement, also known as the Cornwallis Code, aimed to

Correct Answer: isosceles trapezium

Solution : In an isosceles trapezium, the two non-parallel sides are equal and at least two pairs of consecutive angles are congruent.
Hence, the correct answer is isosceles trapezium.

Correct Answer: 43.75%

Solution : Marks of division F = 45
Marks of Division C = 80
Difference = 80 – 45 = 35
So, the required percentage = $\frac{35}{80}\times100$ = 43.75%
Hence, the correct answer is 43.75%.

Correct Answer: 900

Solution : The marked price (MP) = Selling price (SP) × $\frac{100}{(100-\text{discount percentage})}$
The trousers were purchased for INR 765 after a 15% discount, which means that INR 765 is 85% of the marked price (MP) (because 100% – 15% = 85%).
MP = 765 × $\frac{100}{85}$

Correct Answer: (3)

Solution : The third option is the correct choice. 

''Doing sightseeing'' should be replaced with ''sightseeing'', thereby indicating the idea of spending time visiting places of interest in the historical city.

The use of '"doing" before ''sightseeing'' is redundant since ''sightseeing'' in the sentence already implies the

Correct Answer: Nirbhaya Fund

Solution : The correct option is the Nirbhaya Fund

The One Stop Centre (OSC) Scheme for women is funded by the Nirbhaya Fund. The Nirbhaya Fund was set up in India to support initiatives that enhance the safety, and security of women, especially in the context