It's a Question of your Career!

Correct Answer: Italy : Rome

Solution : Given:
Portugal : Lisbon (Here, Lisbon is the capital of Portugal.)

Let's check the options –
First option: Mozambique : Matola; Matola is not the capital of Mozambique. It is a city in Mozambique.
Second option: Turkey : Istanbul; Istanbul is not the

Correct Answer: The orthocentre lies on a vertex

Solution : If the orthocentre of a triangle lies on the side, then it lies on the vertex.
Hence, the correct answer is 'The orthocentre lies on a vertex.'

Correct Answer: 20,000

Solution : Let $x$ be the total number of votes.
Number of votes casted = 80% of $x$ = $\frac{80}{100}×x$
Number of invalid votes = 2% of votes cast 
Number of valid votes = 98% of votes cast= $\frac{98}{100}×\frac{80}{100}×x$
Number of votes A got = 60% of

Correct Answer: symbol

Solution : The correct answer is the first option, "symbol".

Symbol means a thing that represents or stands for something else, and in this case, it stands for public opinion, which makes it the appropriate choice according to the context of the sentence.

The meanings of the

Correct Answer: Rs. 120

Solution : Let the cost price of 1 book = Rs. $x$
Selling price of 12 books = Rs. 1800
Gain = $3x$
Selling price of 12 books – Cost price of 12 books = Gain
⇒ $1800−12x=3x$
⇒ $1800=12x+3x$
⇒ $1800=15x$
⇒ $x=120$
∴ Cost

Correct Answer: exceptional

Solution : The correct choice is the fourth option.

Mundane is something that is ordinary or lacking in excitement.

Excitement refers to a state of heightened emotions. While "mundane" represents something that is uneventful, excitement is used to represent a state of enthusiasm, making it the

Correct Answer: $60^{\circ}$

Solution :

Given that $AE:ED=5:1$, $\angle BAD=30^{\circ}$ and $\tan \left ( \angle ACB \right )=6\tan \left ( \angle DBE \right )$
Let $AE$ and $ED$ be $5x,x$.
So, $DE=x, AE=5x$ and $AD=6x$
In $\triangle ABD$,
$\angle ABD+\angle BAD=90^{\circ}$
⇒ $\angle ABD =90^{\circ}-\angle BAD$
⇒ $\angle ABD =90^{\circ}-30^{\circ}=60^{\circ}$

Correct Answer: (1)

Solution : The error lies in the first part of the sentence.

"One of my friend" is grammatically incorrect. It should be replaced with one of my friends as the speaker is referring to a single friend out of all the friends the speaker has.

Therefore, the

Correct Answer: $2m$

Solution : We know that $\cos\theta+\sin\theta=m$ and $\sec\theta+\operatorname{cosec \theta}=n$.
$⇒n\left ( m^{2}-1 \right ) = \left(\frac{1}{\cos\theta}+\frac{1}{\sin\theta}\right)\left((\cos\theta+\sin\theta)^{2}-1\right)$
$⇒n\left ( m^{2}-1 \right ) = \left(\frac{1}{\cos\theta}+\frac{1}{\sin\theta}\right)\left(\cos^{2}\theta+2\sin\theta\cos\theta+\sin^{2}\theta-1\right)$
We know that $\cos^{2}\theta+\sin^{2}\theta=1$,
$⇒n\left ( m^{2}-1 \right ) = \left(\frac{1}{\cos\theta}+\frac{1}{\sin\theta}\right)\left(2\sin\theta\cos\theta\right)$
$⇒n\left ( m^{2}-1 \right ) = 2\sin\theta\cos\theta\left(\frac{1}{\cos\theta}+\frac{1}{\sin\theta}\right)$
$⇒n\left ( m^{2}-1 \right ) =

Correct Answer: 60 metres

Solution :
AB = transparent water surface then according to question,
$\triangle$CPM = 30°; $\angle$C'PM = 60°
CM = $h$
CB = Height of the aeroplane from the water surface of the lake = $h + 30$
$\therefore$ C'B = $h + 30$
In $\triangle$CMP, tan