It's a Question of your Career!

Correct Answer: Inherent

Solution : The fourth option is the correct choice.

Innate means belonging to or determined by factors present in an individual from birth. Inherent means existing as a natural and permanent quality of something or someone. It is clear that innate and inherent are similar in

Correct Answer: cherish

Solution : The correct choice is the first option.

Explanation:
"Shun" means to deliberately avoid or steer clear of something or someone. It implies a conscious decision to stay away or distance oneself. In contrast, "cherish" means to hold something dear, to value it, or to treat

Correct Answer: $52 \frac{1}{2}$ cm²

Solution : Given: The sides of a triangle = 29 cm, 21 cm, and 20 cm
We can see, $29^2 = 21^2 + 20^2$
So, this is a right-angled triangle.
⇒ Area $=\frac{1}{2}\times 21\times 20=210$ cm²
Area of the smaller triangle $=\frac14\times210=\frac{105}{2}=52\frac12$ cm$^2$

Correct Answer: Polyamide polymer

Solution : The correct answer is Polyamide polymer.

Nylon polymers are synthetic polymers derived from polyamide polymers. Polymerization produces Nylon polymers, such as Nylon-6, and forms repeating units known as monomers. Because of their strength and adaptability, These synthetic polymers have many applications in textiles, plastics

Correct Answer: was

Solution : The correct choice is the first option.

Was is the appropriate choice for the sentence, as it is the correct form when we talk about a singular noun in the past tense.

Correct Answer: 8

Solution : Given: Whole surface area = 340 cm²
Area of each lateral face = 30 cm²
Area of base = 100 cm²
Whole surface area = lateral surface area + area of the base
⇒ 340 = lateral surface area + 100
$\therefore$

Correct Answer: The Turkish Caliph

Solution : The correct option is Turkish Caliph.

Muslims in India initiated the Khilafat Movement at the beginning of the 20th century, which was a significant political movement. It was intended to express opposition to the Allied Powers demolition of the Ottoman Caliphate and their

Correct Answer: 6

Solution : According to the dice rule if two or three positions of the same dice are given with two common faces but in different orientations then out of those two common faces the faces that are not common are opposite to each other.
While considering Figures

Correct Answer: 2

Solution : $\frac{a^{2}-bc}{a^{2}+bc}+\frac{b^{2}-ca}{b^{2}+ca}+\frac{c^{2}-ab}{c^{2}+ab}=1$
Adding 3 on both sides,
$⇒(\frac{a^{2}-bc}{a^{2}+bc}+1)+(\frac{b^{2}-ca}{b^{2}+ca}+1)+(\frac{c^{2}-ab}{c^{2}+ab}+1)=1+3$
$⇒(\frac{a^{2}-bc+a^{2}+bc}{a^{2}+bc})+(\frac{b^{2}-ca+b^{2}+ca}{b^{2}+ca})+(\frac{c^{2}-ab+c^{2}+ab}{c^{2}+ab})=4$
$⇒(\frac{2a^{2}}{a^{2}+bc})+(\frac{2b^{2}}{b^{2}+ca})+(\frac{2c^{2}}{c^{2}+ab})=4$
$⇒\frac{a^{2}}{a^{2}+bc}+\frac{b^{2}}{b^{2}+ac}+\frac{c^{2}}{c^{2}+ab}=2$
Hence, the correct answer is 2.

Correct Answer: $-21\sqrt{5}$

Solution : Given: $x^2-7 x+1=0$
⇒ $x+\frac{1}{x}=7$
Squaring the equation, we get,
$(x+\frac{1}{x})^2=7^2$
⇒ $x^2+\frac{1}{x^2}+2=49$
⇒ $x^2+\frac{1}{x^2}=47$
And we know, $(x-\frac{1}{x})^2=x^2+\frac{1}{x^2}-2$
⇒ $(x-\frac{1}{x})^2=47-2=45$
⇒ $x-\frac{1}{x}=\pm\sqrt{45}$
⇒ $x=-\sqrt{45}$ [As $0<x<1$]
Now consider, $x^2-\frac{1}{x^2}$
Using $a^2-b^2=(a-b)(a+b)$
$=(x+\frac{1}{x})(x-\frac{1}{x})$
$=7\times (-\sqrt{45})$
$=-7\times 3\sqrt5=-21\sqrt5$
Hence, the correct answer is $-21\sqrt5$.