It's a Question of your Career!

Correct Answer: $47$

Solution : Given: $x^2-3x+1=0$
Divide both sides by $x$, we get,
$⇒ x-3+\frac{1}{x}=0$
$\therefore x+\frac{1}{x}=3$
Squaring both sides, we get,
$⇒(x+\frac{1}{x})^2=3^2$
$⇒x^2+\frac{1}{x^2}+2×x×\frac{1}{x}=9$
$\therefore x^2+\frac{1}{x^2}=7$
Again squaring both sides, we get,
$⇒(x^2+\frac{1}{x^2})^2=7^2$
$⇒x^4+\frac{1}{x^4}+2×x^2×\frac{1}{x^2}=49$
$⇒(x^4+\frac{1}{x^4})=49-2$
$\therefore(x^4+\frac{1}{x^4})=47$
Hence, the correct answer is $47$.

Correct Answer: Chhattisgarh

Solution : The correct answer is Chhattisgarh.

Panthi dance is a popular folk dance form that belongs to the state of Chhattisgarh. One of its famous proponents is Radhe Shyam Barle, who was awarded the Padma Shri award in 2021. It is a fast-paced dance that is

Correct Answer: Excise duty

Solution : The correct option is Excise duty.

A system called CENVAT (Central Value Added Tax) was established to deal with the taxing of goods and services. Businesses can claim credit under the CENVAT system for the excise duty paid on materials used in the

Correct Answer: (2)

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

"Engaged tone" should be preceded by the indefinite article "an" to indicate that it is referring to one of the several possible engaged tones that someone might hear. Moreover, the article "an" is

Correct Answer: 15 km

Solution : Firstly, we will draw the diagram as per the given instructions –

The distance between the house (H) and endpoint (D) = 15 km

So, Laxmi is 15 km away. Hence, the third option is correct.

Correct Answer: Liberal

Solution : The correct choice is the first option.

In the given sentence, the underlined word is intolerant, which means they are unwilling to accept or respect beliefs or opinions that differ from their own. The opposite of intolerant is liberal. In this context, liberal

Correct Answer: is rich with

Solution : The correct choice is the fourth option.

In this sentence, the error lies in the preposition used after the word "rich".

Rich is typically followed by the preposition "in" when describing the abundance or high concentration of something within a

Correct Answer: (1)

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

The verb "crowding" means a large number of people filling up the room, leaving little or no space, and it should be replaced with the adjective "crowded", which means filled with people.

Correct Answer: 72 km/h

Solution : Let the speed of the car be $x$ km/h.
According to the question,
Relative speed $= (x - 42)$ km/h
Distance $= 30 + 60 = 90$ km
Now the speed of the car will be
$⇒ x - 42 = \frac{90}{3}$
$⇒ x

Correct Answer: Ladainha

Solution : The correct option is Ladainha.

Ladainha or Ladin is a gratitude ritual observed by the Christian community in Goa. The term "Ladin" directly translates to a litany dedicated to the Virgin Mary. This religious ceremony serves as an expression of thanks to God for both