Correct Answer: 2

Solution : Given: The trigonometric expression is $\frac{\cos 50^{\circ}}{\sin 40^{\circ}}+\frac{3 \operatorname{cosec} 80^{\circ}}{\sec 10^{\circ}}-2 \cos 50^{\circ} \operatorname{cosec} 40^{\circ}$.
Use the trigonometric formulas, $\cos( 90^{\circ}- \theta) =\sin \theta$, $\operatorname{cosec}( 90^{\circ}-\theta)=\sec \theta$ and $\sin \theta=\frac{1}{\operatorname{cosec}\theta}$.
$\frac{\cos 50^{\circ}}{\sin 40^{\circ}}+\frac{3 \operatorname{cosec} 80^{\circ}}{\sec 10^{\circ}}-2 \cos 50^{\circ} \operatorname{cosec} 40^{\circ}$
$=\frac{\cos( 90^{\circ}-40^{\circ} ) }{\sin 40^{\circ}}+\frac{3

Correct Answer: 29.16 litres

Solution : Suppose a container contains $a$ units of a liquid from which $b$ units are taken out and replaced by water, after $n$ number of operations,
The quantity of pure liquid in the final mixture = $a[1-\frac{b}{a}]^n$
Here, $a$ = 40 litres, $b$ = 4

Correct Answer: Glycocalyx

Solution : The correct answer is Glycocalyx.

The cell envelope's outermost layer is called the Glycocalyx. The thick outer layer of the plasma membrane is called the Glycocalyx. It consists of linked protein strands and sugar molecules. The end product is a viscous layer that helps

Correct Answer: 67, 21, 14, 98

Solution : Given:
HEEL

Number representations of each letter:
H → 55, 96, 67, 88, 79
E → 30, 21, 02, 43, 14
E → 30, 21, 02, 43, 14
L → 85, 76, 57, 98, 69

Option first: 67, 21, 14, 98
All

Correct Answer:

Solution : A ticket is an official document that serves as proof of payment for a journey or admission to an entertainment venue. If you plan to travel by rail or aeroplane, a ticket is mandatory. Therefore, tickets are associated with both rail and air travel.
As a

Correct Answer: 510

Solution : Given:
642, 598, 554, ?, 466, 422

Let's apply the pattern –
642 – 44 = 598; 598 – 44 = 554; 554 – 44 = 510; 510 – 44 = 466; 466 – 44 = 422

So, 510 is the missing number in the

Correct Answer: Heart

Solution : Given:
Orthopaedic : Bone :: Cardiology : ?

Like, Orthopaedic is a branch of medicine that treats ailments related to bones.
Similarly, Cardiology is a branch of medicine that treats ailments related to the heart.

Hence, the second option is correct.

Correct Answer: A Buddhist text

Solution : The Correct Answer is A Buddhist text

The conversations between King Milinda of Bactria and the Buddhist Sage Nagasena are recorded in the Buddhist text known as the Milindapanho. It was created between the years 100 BCE and 200 CE. Menander converted to

Correct Answer: 488

Solution : Given:
512, 508, 500, 496, ?, 484

In the above-given series, subtract 4 and 8 alternatively from the previous numbers to get the next numbers.
512 – 4 = 508; 508 – 8 = 500; 500 – 4 = 496; 496 – 8 = 488;

Correct Answer: passed off

Solution : The second option is the correct answer.

The correct phrase to use in this context is passed off rather than passed out. When an emotion or feeling subsides or disappears, we use the phrasal verb passed off. 

In contrast, passed out typically refers to