It's a Question of your Career!

Correct Answer: 500%

Solution : 20% of (A + B) = 30% of (A − B)
⇒ 20% of A + 20% of B = 30% of A – 30% of B
⇒ 10% of A = 50% of B
$\therefore$ A = 500% of B
Hence, the correct answer

Correct Answer: 2

Solution : Given:
$x=\frac{4\sqrt ab}{\sqrt a+\sqrt b}$
Equation $=\frac{x+2\sqrt a}{x-2\sqrt a}+\frac{x+2\sqrt b}{x-2\sqrt b}$
Put the value of $x$ in equation:
$=\frac{\frac{4\sqrt{ab}}{\sqrt{a}+\sqrt{b}}+2\sqrt{a}}{\frac{4\sqrt{ab}}{\sqrt{a}+\sqrt{b}}-2\sqrt a}+\frac{\frac{4\sqrt{ab}}{\sqrt{a}+\sqrt{b}}+2\sqrt{b}}{\frac{4\sqrt{ab}}{\sqrt{a}+\sqrt{b}}-2\sqrt b}$
$=\frac{\frac{4\sqrt{ab}+2a+2\sqrt {ab}}{\sqrt{a}+\sqrt{b}}}{\frac{4\sqrt{ab}-2a-2\sqrt {ab}}{\sqrt{a}+\sqrt{b}}}+\frac{\frac{4\sqrt{ab}+2\sqrt {ab}+2b}{\sqrt{a}+\sqrt{b}}}{\frac{4\sqrt{ab}-2\sqrt {ab}-2b}{\sqrt{a}+\sqrt{b}}}$
$=\frac{\frac{4\sqrt{ab}+2a+2\sqrt {a}b}{\sqrt{a}+\sqrt{b}}}{\frac{4\sqrt{ab}-2a-2\sqrt {a}b}{\sqrt{a}+\sqrt{b}}}+\frac{\frac{4\sqrt{ab}+2\sqrt {ab}+2b}{\sqrt{a}+\sqrt{b}}}{\frac{4\sqrt{ab}-2\sqrt {a}b-2b}{\sqrt{a}+\sqrt{b}}}$
$=\frac{4\sqrt{ab}+2a+2\sqrt {a}b}{4\sqrt{ab}-2a-2\sqrt {ab}}+\frac{4\sqrt{ab}+2\sqrt {ab}+2b}{4\sqrt{ab}-2\sqrt {ab}-2b}$
$=\frac{2}{2}\left [\frac{2\sqrt{ab}+a+\sqrt {a}b}{2\sqrt{ab}-a-\sqrt {a}b} \right ]+\frac{2}{2}\left[\frac{2\sqrt{ab}+\sqrt {ab}+b}{2\sqrt{ab}-\sqrt {a}b-b}\right]$
$=\frac{3\sqrt{ab}+a}{\sqrt{ab}-a}+\frac{3\sqrt{ab}+b}{\sqrt{ab}-b}$

Correct Answer: $0$

Solution : Given: $x+\frac{1}{x}=\sqrt{3}$
Cubing both sides we get
$(x+\frac{1}{x})^3=(\sqrt{3})^3$
⇒ $x^3+\frac{1}{x^3}+3×x×\frac{1}{x}(x+\frac{1}{x})=(3\sqrt{3})$
⇒ $x^3+\frac{1}{x^3}=3\sqrt{3}–3(x+\frac{1}{x})$
$\because x+\frac{1}{x}=\sqrt{3}$
Thus, $x^3+\frac{1}{x^3}=3\sqrt{3}–3\sqrt{3} = 0$
Hence, the correct answer is $0$.

Correct Answer: INR 300

Solution : Let the cost price of the watch be $x$.
The selling price of the wristwatch = INR 1,200
Profit percentage = $\frac{1200-x}{x}×100$
According to the question,
$x=\frac{1200-x}{x}×100$
$⇒x^2+100x-120000=0$
$⇒x^2+400x-300x-120000=0$
$⇒(x-300)(x+400)=0$
$\therefore x=300,-400$
$x$ can't be negative, because the price of the watch can't be

Correct Answer: Rs. 110

Solution : Let the cost price of a book be $x$.
Selling price of 15 books = Rs. 2200
Price includes the cost price of 15 books plus the gain, which is the cost price of 5 books.
According to the question,
$15x + 5x =

Correct Answer: Javelin Throw 

Solution : The correct option is - Javelin Throw .

Neeraj Chopra is an Indian javelin thrower, born on 24 December 1997. He now holds the title of Olympic champion in the javelin throw and has won silver at the World Championships and the Diamond League.

Correct Answer: Karnataka, Andhra Pradesh, Tamil Nadu, and Kerala

Solution : The correct options is Karnataka, Andhra Pradesh, Tamil Nadu, and Kerala.

Carnatic music is a piece of classical music primarily associated with the states of Tamil Nadu, Karnataka, Andhra Pradesh, and Telangana. The music has a rich history and

Correct Answer: Worried

Solution : Given:
Clever : Smart :: Apprehensive : ?

Clever and smart are synonyms.
Similarly, apprehensive is synonymous with worried.

Hence, the third option is correct.

Correct Answer: are visiting

Solution : The most appropriate choice is the fourth option.

The original sentence is incorrect as per the subject-verb agreement. Since "My friend Meera and her mother" is a compound subject involving more than one person, the verb should also be in the plural form to

Correct Answer: 1 : 2

Solution : Simple interest = $\frac{\text{Principal × Term × Rate}}{100}$
Simple interest on 1,000 for 2 years at 5% per annum = $\frac{1000 × 2 × 5}{100}$ = INR 100
Simple interest on 1,000 for 2 years at 10% per annum = $\frac{1000 × 2