It's a Question of your Career!

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: satisfy human wants

Solution : The correct answer is to satisfy human wants.

The fundamental goal of all manufacturing is to generate commodities and services that fulfil human desires and needs. To put it another way, the primary goal of production is to create items that may

Correct Answer: mercury

Solution : The correct option is mercury.

The Minamata incident occurred in the 1950s, and 1960s in Minamata, Japan, as a result of a chemical factory controlled by the Chisso Corporation releasing methylmercury into the waters of Minamata Bay. The deadly mercury compound made its way

Correct Answer: 47,624

Solution : Total number of people = 1,19,060
Degree subtended by number of people smoking cigarettes = 180$^\circ$
Degree subtended by number of people smoking pipe = 36$^\circ$
The number of cigarette-smoking people is greater than the number of pipe-smoking people = $\frac{180^\circ-36^\circ}{360^\circ}\times 119060=\frac{144^\circ}{360^\circ}\times 119060$ = 47624

Correct Answer: Tariffs and quotas

Solution : The correct option is Tariffs and quotas.

Both tariffs and quotas are consistent with import substitution policies. Import substitution is an economic policy that aims to promote domestic industries by reducing reliance on imported goods. Tariffs involve imposing taxes on imported goods,

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: 7

Solution : Given: The sum of a non-zero number and thrice its reciprocal is $\frac{52}{7}$.
Let the number be $x$.
According to the question,
$x+\frac{3}{x}=\frac{52}{7}$
$\Rightarrow 7x^2-52x+21=0$
$\Rightarrow (7x-3)(x-7)=0$
$\Rightarrow (7x-3)$ or $(x-7)=0$
$\Rightarrow x=7$ or $ \frac{3}{7}$
After checking the options, we get, $x=7$
Hence, the

Correct Answer: Make all possible efforts

Solution : The correct choice is the second option.

Explanation:
This phrase implies putting in exhaustive effort, leaving nothing overlooked or unexplored, to achieve a particular goal. It suggests thoroughness and determination in pursuing something.