Correct Answer: $40\sqrt{3}$ metres

Solution :
AB = Length of thread = 80 metres
BC = The vertical height of the kite
∠BAC = 60°
In $\triangle$ABC,
$\sin 60° = \frac{BC}{AB}$
⇒ $\frac{\sqrt{3}}{2}=\frac{BC}{80}$
$\therefore BC = 40\sqrt{3}$ metres
So, the vertical height of the kite is $40\sqrt{3}$ metres.
Hence, the

Correct Answer: Did he give the message?

Solution : The fourth option is the correct choice.

Explanation: In active voice, the subject of the sentence performs the action, and the structure typically follows the sequence of subject, verb, and object.

The auxiliary verb "was" is replaced with "did".
The subject

Correct Answer: 3

Solution :
The area of a triangle enclosed by two lines and the x-axis can be found by determining the points where the lines intersect the x-axis and each other.
The line $2x + 5y = 12$ intersects the x-axis when $y = 0$, which gives $x

Correct Answer: –8886

Solution : Given: $x-\frac{1}{x}=-6$ ----------------(equation1)
Squaring both sides of equation 1, we get:
⇒ $x^2+\frac{1}{x^2}-2=(-6)^2$
⇒ $x^2+\frac{1}{x^2}=38$
Cubing both sides of equation 1, we get:
⇒ $x^3-\frac{1}{x^3}-3×x×\frac{1}{x}(x-\frac{1}{x})=(-6)^3$
⇒ $x^3-\frac{1}{x^3}=-216+3×(-6)$
⇒ $x^3-\frac{1}{x^3}=-234$
Now, $(x^2+\frac{1}{x^2})(x^3-\frac{1}{x^3})=38×(-234)$
⇒ $(x^5-\frac{1}{x^5})+(x-\frac{1}{x})=(-8892)$
⇒ $(x^5-\frac{1}{x^5})+(-6)=(-8892)$
$\therefore(x^5-\frac{1}{x^5})= -8886$
Hence, the correct answer is –8886.

Correct Answer: $\frac{78}{7} \mathrm{~cm}$

Solution : A circular arc whose radius is 4 cm makes an angle of 45° at the centre.
Here, radius($r$) = 4 cm and central angle($\theta$) = 45°.
We know,
The perimeter of the sector in circle = $2\pi r×(\frac{\theta}{360°})$ + 2 × $r$
= $2×\frac{22}{7}×4×\frac{45°}{360°}$

Correct Answer: She said that she had finished her assignment two hours before.

Solution : The second option is the correct choice.

Narration Conversion:

• The reporting said is used to report the words.
• That is used to connect the main clause to the reported clause.
• The first-person pronoun I is

Correct Answer: Rs. 200

Solution : Loss = 30% of cost price
⇒ Selling price = cost price – loss = 70% of cost price
70% of cost Price + Rs.140 = cost price + profit
Profit = 40% of cost price
⇒ 70% of cost price + Rs. 140

Correct Answer: 27

Solution : Given:
11 & 25 = 18, 12 & 20 = 16, 4 & 50 = ?

Use the following operations in place of the given symbols & –
Like, 11 & 25 = 18→(11 + 25) ÷ 2 = 36 ÷ 2 = 18
And,

Correct Answer: 26,300

Solution : Given: The difference between the number of males in B and C is 600 and the difference between the number of females in D and E is 900.
Male(1%) = $\frac{600}{3}$ = 200 males
Females(1%) = $\frac{900}{3}$ = 300 females
According to the question,
The

Correct Answer: ONMKNSMO

Solution : Given:
M_ _KS_ON_SMO_ K_ _ _NKS

To fill the series we have to divide the series – M_ _KS /_ON_S / MO_ K_ / _ _NKS

Let's check the options –
First option: ONMNKOMS – MONKS / MONNS