Correct Answer: $\frac{1}{2}(\sqrt{3}+3)$

Solution :
Let A be the position of the aeroplane and B and C be the two milestones.
So, BC = 1 km
$\angle \text{ABD} =$ 45° and $\angle \text{ACD} =$ 60°
Let AD = $h$ km and CD = $x$ km
Now, $\tan 45° = \frac{h}{x+1}$

Correct Answer: C.N. Barnard

Solution : The correct option is C.N. Barnard

Dr. Christiaan Barnard conducted the first successful human heart transplant on December 3, 1967, at Groote Schuur Hospital in Cape Town, South Africa. Louis Washkansky, a 53-year-old grocer with end-stage cardiac disease, was the patient. Denise Darvall, a

Correct Answer: STUV

Solution : Let's check the options –

First option: FEDC; FEDC is in the reverse alphabetical order.

Second option: STUV; STUV is not in the reverse alphabetical order.

Third option: LKJI; LKJI is in the reverse alphabetical order.

Fourth option: RQPO; RQPO is in the reverse alphabetical

Correct Answer: Express

Solution : Given: 

Explosion

Express

Exploit

Expulse

Here, the correct order in the dictionary is given below →

Exploit, Explosion, Express, Expulse

After, reversing the order →

Expulse, Express, Explosion, Exploit

So, after reversing the order the word  Express comes second.

Hence, the second option

Correct Answer: INR 20

Solution : Total cost price = INR 100
Profit= 20%
Hence, required total selling price = $100\times \frac{120}{100}$= 120
$\therefore$ Price of each cold drink bottle = $\frac{120}6$ = INR 20
Hence, the correct answer is INR 20.

Correct Answer: Mohiniyattam

Solution : The correct answer is Mohiniyattam.

The dance form Mohiniyattam can be found in the text Vyavaharamala, written in 1709. It was written in 1709 by Mazhamagalam Narayanan Namboodiri. It is an Indian classical dance form associated with Kerala.

Correct Answer: 2 hours

Solution : Given:
A father can do a job as fast as his two sons working together and one son does the job in 3 hours and the other in 6 hours.
One son does the job in 3 hours and the other in 6 hours.

Correct Answer: ÷, +, ÷, +, =

Solution : Given: 
99 * 33 * 66 * 22 * 44 * 50

Let's check the given options –
First Option: ÷, +, ×, +, =
⇒ 99 ÷ 33 + 66 × 22 + 44 = 50
Solving the L.H.S. of

Correct Answer: To confer certain unique phenotypic characters to bacteria.

Solution : The correct option is to confer certain unique phenotypic characteristics to bacteria.

Plasmid DNA functions to confer unique phenotypic traits to bacteria. It carries non-essential genetic information, such as antibiotic resistance genes or the ability to metabolise

Correct Answer: Ophiology 

Solution : Given:

Insects : Entomology :: Snakes : ?

Entomology is a field of study related to insects.

Now, let's apply the same logic to the second part of the analogy:

Ophiology is a field of study related to snakes, just as entomology is