Correct Answer: INR 1,180

Solution : Let the marked price is denoted as MP and cost price as CP.
After allowing a discount of 16% a profit of 18% is gained.
$\frac{CP}{MP}=\frac{100-\text{discount%}}{100+\text{profit%}}$ = $\frac{100-16}{100+18}$
⇒ $\frac{CP}{MP}=\frac{84}{118}$
Given: Cost price = INR 840
84 unit = 840
⇒ 1 unit =

Correct Answer: Its value is backed by the issuing authority

Solution : The correct answer is Its value is backed by the issuing authority.

Coins issued by the government and central bank are considered legal tender, which means they must be accepted for transactions. Refusing to accept legal tender coins

Correct Answer: Environmental infrastructure
  

Solution : The correct answer is (a) Environmental infrastructure

The infrastructure sector that focuses on waste management and sanitation is environmental infrastructure. Environmental infrastructure refers to the physical systems and facilities that are designed to manage and protect the environment, including waste management, sanitation, and pollution

Correct Answer: $\pm\frac{2}{\sqrt{5}}$

Solution : Given: $x-\frac{1}{x}=1$
$⇒x^{2}-1=x$
$⇒x^{2}+1=x+2$
$\left (\frac{1}{x-1}-\frac{1}{x+1}+\frac{1}{x^{2}+1}-\frac{1}{x^{2}-1} \right)$
$=(\frac{2}{x^{2}-1}+\frac{1}{x^{2}+1}-\frac{1}{x^{2}-1})$
$=(\frac{1}{x^{2}-1}+\frac{1}{x^{2}+1})$
$=(\frac{2x^{2}}{(x^{2}-1)(x^{2}+1)})$
Using $x^{2}-1=x$ and $x^{2}+1=x+2$, we get,
$=(\frac{2x^{2}}{(x)(x+2)})$
$=\frac{2x}{x+2}$
Solving $x^{2}-x-1=0$, we get $x=\frac{1\pm\sqrt{5}}{2}$
So, $x+2=\frac{5\pm\sqrt{5}}{2}$
When $x=\frac{1+\sqrt{5}}{2}$, $\frac{2x}{x+2}=\frac{2}{\sqrt{5}}$
When $x=\frac{1-\sqrt{5}}{2}$, $\frac{2x}{x+2}=-\frac{2}{\sqrt{5}}$
Hence, the correct answer is $\pm\frac{2}{\sqrt{5}}$.

Correct Answer: Eucalyptus

Solution : The correct option is Eucalyptus.

The Eucalyptus tree is the most widely employed tree species in social forestry. Because of its rapid growth and numerous applications, including timber, pulpwood, and medicinal characteristics, it is frequently planted in social forestry programmes.

Correct Answer: –1

Solution : Given: $\sin^2\theta = \cos^3\theta$
Squaring both sides,
⇒ $\sin^4\theta = \cos^6\theta$ -------------(i)
Now, $(\cot^2\theta-\cot^6\theta)$
= $\cot^2\theta - \frac{\cos^6 \theta}{\sin^6 \theta}$
= $\cot^2\theta -\frac{\sin^4 \theta}{\sin^6 \theta}$ [From equation (i)]
= $\cot^2\theta -\frac{1}{\sin^2 \theta}$
= $\cot^2\theta - \operatorname{cosec}^2\theta$
= $-1$
Hence, the correct answer is –1.

Correct Answer: $10$%

Solution : Given: The marked price of a CD is Rs. 250 and the selling price is Rs. 225.
Discount price = 250 – 225 = Rs. 25
Discount percentage = $ \frac{\text{Discount}}{\text{Marked price}}\times 100=\frac{25}{250}\times 100=10\%$
Hence, the correct answer is $10$%.

Correct Answer: 1

Solution : The correct choice is the first option.

Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active voice becomes the subject in the passive voice.

The structure of

Correct Answer: U26L

Solution : Given:
S16H, T13J, ?, V23N, W46P

Add 1 to the positional value of the first letter and subtract 3 from the positional value of the third letter, subtract 3 and multiply 2 alternatively to the numbers – 
S16H→S + 1 = T; 16 – 3

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