It's a Question of your Career!

Correct Answer: $x^{2}–x–20=0$

Solution : Given: The sum of the roots = 1
The product of the roots is = –20
We know that quadratic equation: $x^{2}–(\text{sum of the root})x+(\text{product of the root})=0$
⇒ $x^{2}–(1)x+(–20)=0$
⇒ $x^{2}–x–20=0$
Hence, the correct answer is $x^{2}–x–20=0$.

Correct Answer: George handing the

Solution : The first option is correct.

• The error in the sentence is in the segment "George handing the".
• The sentence describes an action in the past, which is George handing a hairpin to Ron.
• To convey this action in the correct past tense, the

Correct Answer: 69

Solution : Given that the average of two middle numbers in a list of 10 consecutive numbers is 13.5.
Let the smaller one be $x$.
Therefore, the next number is $x+1$.
The average of these two numbers is given by:
$⇒\frac{x + (x+1)}{2} = 13.5$
$\therefore x

Correct Answer: English

Solution : The correct answer is English.

The Eighth Schedule of the Indian constitution includes India's official languages, as designated by the government for use in state legislatures across the country. Unlike ancient languages, there are no set criteria for the selection of official languages. Currently,

Correct Answer: be quiet

Solution : The correct answer is the second option.

The original sentence has a spelling error; "quite" should be "quiet". "Quiet" means to make little or no noise, which is the intended meaning in this context. So, "be quiet" is the correct substitution that rectifies the

Correct Answer: 380

Solution : Given:
+ means ×, – means +, × means ÷, ÷ means –
50 + 10 – 50 × 10 ÷ 125 = ?

Now, replace the given symbols –
= 50 × 10 + 50 ÷ 10 – 125
= 50 × 10 +

Correct Answer: 6.3 cm

Solution :
Given: $r{_1}=2.4$ cm, $r{_2}=4$ cm, $d=6.5$ cm
Length of the common tangent
= $\sqrt{d^2-(r{_1}-r{_2})^2}$
= $\sqrt{6.5^2-(2.4-4)^2}$
= $\sqrt{42.25-(1.6)^2}$
= $\sqrt{42.25-2.56}$
= $\sqrt{39.96}$
= $6.3$ cm
Hence, the correct answer is 6.3 cm.

Correct Answer: 24

Solution : Given: The difference between the average of $x$, $y$ and $y$, $z$ is 12.
According to the question,
$\frac{x+y}{2}–\frac{y+z}{2}=12$
⇒ $\frac{x+y–y–z}{2}=12$
⇒ $\frac{x–z}{2}=12$
⇒ $x–z=24$
Hence, the correct answer is 24.

Correct Answer: Birju Maharaj

Solution : The correct option is Pandit Birju Maharaj.

The Bollywood song "Mohe Rang Do Laal" from the movie "Bajirao Mastani" was choreographed by Pandit Birju Maharaj. He is a renowned Indian classical dancer and choreographer, and he worked on this song to bring the

Correct Answer: (3)

Solution : The sentence can be improved using the third option.

The phrase "There is no denying the fact" is the most appropriate choice here. It's a common expression used to assert that something is unquestionably true or evident. In the sentence, it conveys that there is