Correct Answer: 1.5 cm

Solution :
Given: $\frac{AD}{BD}$ = $\frac{3}{5}$
In $\triangle$ABC and $\triangle$DBE,
$\angle$BAC = $\angle$DAE (same angle)
$\angle$ADE = $\angle$ABC (corresponding angles)
$\angle$AED = $\angle$ACB (corresponding angles)
By AAA similarity, $\triangle$ABC ~ $\triangle$ADE
⇒ $\frac{AD}{AB}$ = $\frac{AD}{AD+BD}$ = $\frac{3}{3+5}$ = $\frac{3}{8}$
Now, $\frac{AD}{AB}$ = $\frac{AE}{AC}$
⇒ $\frac{3}{8}$ =

Correct Answer: Amir Khusrau 

Solution : The correct answer is Amir Khusrau.

Amir Khusrau, originally named Amir Khusrau Dehlavi, was a renowned Indian Sufi singer and poet born in Patiala. Known as the 'Parrot of India,' he earned titles like the 'father of Urdu literature' and the 'voice of

Correct Answer: Hyderabad

Solution : The correct option is Hyderabad.

Located in Hyderabad, Telangana, India's first open rock museum features an array of about 35 rock types sourced from diverse regions of the country. These rocks showcase ages ranging from 3.3 billion to approximately 55 million years, representing various

Correct Answer: $\frac{240}{17}$

Solution : Let the total distance of the journey be $d$ km. 
One-third of the journey is covered at 10 km/hr, so the time taken is $\frac{d}{3 \times 10} $ hours.
One-fourth of the journey is covered at 15 km/hr, so the time taken is $\frac{d}{4 \times

Correct Answer: Max Verstappen

Solution : The correct option is Max Verstappen.

The winner of the Japanese Formula 1 Grand Prix 2022, held on October 9th, was Max Verstappen, driving for Red Bull. He secured his second World Championship title with this victory, a dramatic race featuring a late penalty

Correct Answer: BJKSX

Solution : Given:
A_DEFGI_ _LNOPQ_TUV_Y

To fill the series we have to divide the series – A_DE \ FGI_ \ _LNO \ PQ_T \ UV_Y
Let's check each option — 
First option: CJKSX; ACDE \ FGIJ \ KLNO \ PQST \

Correct Answer: 56

Solution : Given: $x^4+\frac{1}{x^4}=194$
$⇒x^4+\frac{1}{x^4}+2=194+2$
$⇒(x^2+\frac{1}{x^2})^2=196$
$⇒x^2+\frac{1}{x^2}=\sqrt{196}$
$⇒x^2+\frac{1}{x^2}=14$
$⇒x^2+\frac{1}{x^2}+2=14+2$
$⇒(x+\frac{1}{x})^2=16$
$⇒x+\frac{1}{x}=4$ -----------------------------(1)
Now, $x^3+\frac{1}{x^3}=(x+\frac{1}{x})^3-3×x×\frac{1}{x}(x+\frac{1}{x})$
$⇒x^3+\frac{1}{x^3}=4^3-3 ×4$
$⇒x^3+\frac{1}{x^3}=52$--------------------------------(2)
Therefore, $x^3+\frac{1}{x^3}+x+\frac{1}{x}$ = $52+4 = 56$ (from equations (1) and (2))
Hence, the correct answer is 56.

Correct Answer: have considered the elective courses

Solution : The correct choice is the first option.

The word commemorated means to honour or remember something. In this context, it doesn't fit logically as colleagues wouldn't commemorate elective courses they're planning to offer. Considered makes more sense here, indicating that all

Correct Answer: (2)

Solution : The correct choice is the second option.

"When" should be replaced with "if" to convey the intended meaning. The conjunction "if" is used in conditional situations instead of "when", which is used to denote a point in time. There is an error in the use

Correct Answer: Both conclusions I and II follow

Solution : The possible Venn diagram, according to the given statements is as follows –

Let's analyse the conclusions –
Conclusion (I): No correct is right – From the Venn diagram, it is evident that all correct is wrong and no wrong