Correct Answer: 71°

Solution :
Given: PA and PB are tangents
$\angle OAP = 90^\circ $
$\angle OBP = 90^\circ $
As, OAPB is a quadrilateral
$\angle OAP + \angle APB + \angle PBO + \angle BOA = 360^\circ $
⇒ $90^\circ + 142^\circ + 90^\circ + \angle BOA =

Correct Answer: Alauddin Khalji

Solution : The correct answer is Alauddin Khalji.

Alauddin Khalji, the ambitious nephew and son-in-law of Jalaluddin, played a crucial role in his uncle's rise to power, earning the title of Amir-i-Tuzuk (Master of Ceremonies). Under Jalaluddin's reign, Alauddin achieved success in two expeditions.

Correct Answer: Both Conclusions II and III follow

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

Let's analyse the conclusions –
Conclusion (I): Some W is not D – It is a possibility that the circle representing W is completely overlapped by the circle

Correct Answer:

Solution : Since there is a restriction on the rotation of the figure, we will check which of the option figures can exactly fit in the given question figure.
By comparison of all the option figures, only the second option figure is embedded in the given question figure.

Correct Answer:

Solution : Based on the general information, both India and Pakistan are the countries in Asia. So, the circles that represent India and Pakistan will lie inside the circle that represents Asia. But India and Pakistan are not related to each other in any manner. So, their circles

Correct Answer: 4.4

Solution : Given: The expression is $\sqrt{11+2 \sqrt{18}}$
Use the algebraic identity, $(a+b)^2=a^2+b^2+2ab$
$\sqrt{11+2 \sqrt{18}}$
$=\sqrt{({\sqrt9})^2+({\sqrt 2})^2+2\times \sqrt{9}\times \sqrt2}$
$=\sqrt{({\sqrt 9}+{\sqrt 2})^2}$
$={\sqrt 9}+{\sqrt 2}$
$=3+1.414=4.414$
Hence, the correct answer is 4.4.

Correct Answer: Bharatanatyam

Solution : The correct option is Bharatanatyam.

Sudha Chandran is a known actress and an accomplished Bharatanatyam dancer. Bharatanatyam is known for its intricate footwork, expressive gestures, and captivating storytelling. Sudha Chandran, despite losing her leg in an accident, has continued to excel in this demanding

Correct Answer: 3, 1, 4, 2

Solution : Given:
1. Management 2. Manufacture 3. Maintain 4. Manner

Step 1: Compare the first letter of each word. Since all the words start with the same letter M, then move on to the next letter.
Step 2: The second letter

Correct Answer: Descend

Solution : Given:
Close : Open :: Ascend : ?

Close is the antonym of open.
Similarly, ascend is the antonym of descend.

Hence, the third option is correct.

Correct Answer: 1

Solution : The first option is the correct choice.

Hardly should be followed by when as they form the correct correlative conjunctions. So, "before" should be replaced with "when".

Therefore, the correct sentence is: "Hardly had I finished cooking dinner when Rajesh arrived."