Correct Answer: 28 days

Solution : Total work = 14 × 60 = 840 units.
Number of days required for 30 people = $\frac{840}{30} = 28$ days.
Hence, the correct answer is 28 days.

Correct Answer: 111672

Solution : Given:
$14^{3}+16^{3}+18^{3}+.....+30^{3}$
$= 2^{3}\times7^{3}+2^{3}\times8^{3}+2^{3}\times9^{3}+.....+2^{3}\times15^{3}$
$= 2^{3}(7^{3}+8^{3}+9^{3}+.....+15^{3})$
$= 2^{3}[(1^{3}+2^{3}+3^{3}+4^{3}+....+15^{3})-(1^{3}+2^{3}+3^{3}+4^{3}+5^{3}+6^{3})]$
The sum of cubes of $n$ natural numbers$ =\left[\frac{n(n+1)}{2}\right]^2$
For $n = 6$, we have
$1^{3}+2^{3}+3^{3}+4^{3}+5^{3}+6^{3}=\left[\frac{6(6+1)}{2}\right]^2 = \left[\frac{42}{2}\right]^2 = (21)^{2} =$ 441
For $n = 15$, we have
$1^{3}+2^{3}+3^{3}+4^{3}+....+15^{3}=\left[\frac{15(15+1)}{2}\right]^2 = \left[\frac{240}{2}\right]^2 = (120)^{2} =$ 14400
Now, $2^{3}[(1^{3}+2^{3}+3^{3}+4^{3}+....+15^{3})-(1^{3}+2^{3}+3^{3}+4^{3}+5^{3}+6^{3})]$

Correct Answer: Alpine grassland

Solution : The Correct Answer is-  Alpine grassland 

Alpine grassland dominates the Himalayan mountains' typical natural vegetation above 3600 meters. Silver fur, pine birch, and other important trees are listed. A natural alpine grassland at a high elevation, the Alpine-steppe is a subregion of the Montane

Correct Answer: 7

Solution : Given: $p^2+q^2=7pq$
Divide the above equation by $pq$ on both sides, we get,
⇒ $\frac{p^2+q^2}{pq}=\frac{7pq}{pq}$
⇒ $\frac{p}{q}+\frac{q}{p}=7$
Hence, the correct answer is 7.

Correct Answer: pursue

Solution : "Pursue" means to actively and diligently work towards a goal or objective, which is exactly the action one should take with their career. Therefore, the correct word to fill in the blank is "pursue."

Correct Answer: (46, 92, 414)

Solution : Given:
(28, 65, 261), (37, 83, 342)

(28, 65, 261); 261 – 65 = 196; 196 ÷ 7 = 28
(37, 83, 342); 342 – 83 = 259; 259 ÷ 7 = 37
Let's check the options –
First option: (39, 42, 393);

Correct Answer: $4^3$

Solution : Given: If $x \sin \ 45° = y \operatorname{cosec} 30°$.
$⇒\frac{x}{y} = \frac{\operatorname{cosec}30°}{\sin 45°}$
Substitute the values of the given trigonometric ratios, we get,
$⇒\frac{x}{y} = \frac{2}{\frac{1}{\sqrt{2}}}$
$⇒\frac{x}{y} = (2\sqrt{2})$
On both sides of the above equation, taking the fourth power gives us,
$⇒\frac{x^{4}}{y^{4}} =

Correct Answer: 80

Solution : Here the distance between two donkeys = 400 metres.
Speed of the first donkey = 3 m/sec.
Speed of the second donkey = 2 m/sec.
If both running in opposite directions relative speed = (3 + 2) = 5 m/sec.
So, the time taken to

Correct Answer: Neither price axis , nor quantity axis.

Solution : The correct option is Neither price axis, nor quantity axis.

The price (vertical axis) or quantity (horizontal axis) axis will never be touched by a unit price elastic demand curve during its entire length. This implies that if a

Correct Answer: wondered

Solution : The correct choice is the second option.

In this context, wondered means that Redwing was contemplating or thinking about whether the unfolding events resembled a novel. He was pondering or questioning this possibility. The word wondered means to have thoughts of curiosity or doubt,