It's a Question of your Career!

Correct Answer: Karnam Malleswari

Solution : The correct answer is Karnam Malleswari.

Karnam Malleswari is an Indian weightlifter. She won a bronze medal at the 2000 Sydney Olympics after lifting in the snatch and clean and jerk categories of weightlifting. She has been awarded the Padma Shree and Arjuna

Correct Answer: active

Solution : The correct answer is active.

When a host encounters antigens, which could be living or dead microbes or other proteins, the host's body produces antibodies in response. This form of immunity is termed "active immunity." Active immunity is a gradual process and can be either

Correct Answer: A ÷ B + C

Solution : Given:
P + Q means that P is the mother of Q.
P ÷ Q means that P is the father of Q.
P – Q means that P is the sister of Q.

Let's check the options –
First option: 

Correct Answer: $\frac{1}{3}$

Solution : Probability of A speaking truth = $\frac{5}{7}$ = P(A)
⇒ Probability of A lying = $1-\frac{5}{7}$ = $\frac{2}{7}$ = P(A')
Probability of B speaking truth = $\frac{8}{9}$ = P(B)
⇒ Probability of B lying = $1-\frac{8}{9}$ = $\frac{1}{9}$ = P(B')
$\therefore$ Required probability
= P(A)

Correct Answer: down

Solution : The correct choice is the third option.

Explanation:

The phrase turn down challenges is idiomatic and means to reject or refuse challenges. In the context of the sentence, the idea is that men find it difficult to decline or avoid challenges.

So, the correct

Correct Answer: 49 : 30

Solution : Let the cost price be Rs. 100
Selling price when sold at 30% loss = Rs. 70
Selling price = $\frac{3}{7}$ of Marked price
⇒ Marked price = $\frac{7}{3}$ of Selling price = 70 × ($\frac{7}{3})$ = $\frac{490}{3}$
Required ratio = $\frac{\frac{490}{3}}{100}=49:30$
Hence,

Correct Answer: (2)

Solution : The sentence can be improved using the second option.

In the case of neither... nor, the verb must agree to the subject closest to it. Here, the term "boys" is plural and should be followed by a plural verb. This helps in maintaining the

Correct Answer: $2+\sqrt{3}$

Solution : Given,
$\frac{\cos \theta}{1-\sin \theta}+\frac{\cos \theta}{1+\sin \theta}=4$
⇒ $\frac{\cos\theta(1+\sin\theta)+\cos\theta(1-\sin\theta)}{(1+\sin\theta)(1-\sin\theta)}=4$
⇒ $\frac{\cos\theta+\sin\theta\cos\theta+\cos\theta-\sin\theta\cos\theta}{(1+\sin\theta)(1-\sin\theta)}=4$
⇒ $\frac{2\cos\theta}{1-\sin^2\theta}=4$ [As $\sin^2\theta+\cos^2\theta=1$]
⇒ $\frac{\cos\theta}{\cos^2\theta}=2$
⇒ $\cos\theta=\frac{1}{2}$
⇒ $\theta=60°$
Now, $\sec \theta+\operatorname{cosec} \theta+\cot \theta=\sec60°+\operatorname{cosec}60°+\cot60°$
$=2+\frac{2}{\sqrt3}+\frac1{\sqrt3}$
$=\frac{2\sqrt3+2+1}{\sqrt3}$
$=\frac{2\sqrt3+3}{\sqrt3}$
$=2+\sqrt3$
Hence, the correct answer is $2+\sqrt3$.

Correct Answer: $\frac{a^{2}b^{2}}{a^{2}+b^{2}}$

Solution :
In triangle ABC,
The hypotenuse of the triangle,
$AC=\sqrt{a^2+b^2}$
The area of triangle ABC,
$\frac{1}{2}\times AB \times BC=\frac{1}{2}\times AC\times BD$
$⇒\frac{1}{2}ab=\frac{1}{2}p\sqrt{a^2+b^2}$
$⇒ab=p\sqrt{a^2+b^2}$ 
Squaring both sides,
$⇒a^2b^2=p^2(a^2+b^2)$
$⇒p^2=\frac{a^{2}b^{2}}{a^{2}+b^{2}}$
Hence, the correct answer is $\frac{a^{2}b^{2}}{a^{2}+b^{2}}$.

Correct Answer: 14 : 3

Solution : Given: A canister holds 36 litres of a mixture of milk and water in a ratio of 3 : 1.
Quantity of milk = $\frac{3}{4} × 36 = 27$
Quantity of water = $\frac{1}{4} × 36 = 9$
After adding 15 litres of