Correct Answer: $3\frac{11}{13}$%

Solution : Let the volume of liquid be 100.
After freezing, it increases by 4% = 104
After melting, it decreases by = $\frac{4}{104} × 100$ = $3\frac{22}{26}$ = $3\frac{11}{13}$%
Hence, the correct answer is $3\frac{11}{13}$%.

Correct Answer: 10

Solution : The correct answer is 10.

10% can be taken as the average value for the amount of organic matter that is present at each step of the food chain and reaches the next level of consumers. Generally, it is considered that an average of

Correct Answer: 70°

Solution : $\angle$P = 46$^{\circ}$
$\angle$R = 64$^{\circ}$
In correspondence with $\triangle$PQR, we have $\triangle$ABC. Let's denote the corresponding angles of $\triangle$ABC as $\angle$A, $\angle$B, and $\angle$C.
According to the property of similar triangles, the corresponding angles of similar triangles are equal. So,
$\angle$P = $\angle$A
$\angle$Q

Correct Answer: It is related to a cooperative society

Solution : The correct answer is It is related to a cooperative society.

Article 43B was added to the Indian Constitution to promote cooperative societies and provide for the principles and policies to support their growth and development. It emphasises the

Correct Answer: binomial

Solution : The correct option is binomial.

The Swedish botanist and physician Carolus Linnaeus developed the binomial system of classification by designating species of living beings using two terms (genus and species. The classification and naming of species were revolutionised by his work, and this system is

Correct Answer: Article 371

Solution : The correct answer is Article 371.

Article 371 of the Indian Constitution deals with the special provisions concerning the states of Maharashtra and Gujarat. States that have special provisions mentioned in Article 371 are Article 371A, with the special provisions of Nagaland, and Article

Correct Answer:  –3

Solution : As we know $p^3 - q^3 = (p - q)(p^2 + pq + q^2)$
Comparing $\small p^{3}-q^{3}=\left (p-q \right )\left \{ \left (p-q \right)^{2}-xpq \right \}$ with the above identity, we get,
$p^2 + pq + q^2 = (p-q)^2-xpq$
⇒ $p^2 + pq + q^2

Correct Answer: $\frac{119}{120}$

Solution : Given,
$\sin \theta=\frac{5}{13}$
We know, $\cos\theta=\sqrt{1-\sin^2\theta}$
⇒ $\cos\theta=\sqrt{1-\frac{5^2}{13^2}}$
⇒ $\cos\theta=\sqrt{\frac{13^2-{5^2}}{13^2}}$
⇒ $\cos\theta=\frac{\sqrt{13^2-5^2}}{13}$
⇒ $\cos\theta=\frac{\sqrt{169-25}}{13}$
⇒ $\cos\theta=\frac{12}{13}$
$\therefore\frac{\cos ^{2} \theta-\sin ^{2} \theta}{2 \cos \theta \cdot \sin \theta}=\frac{\frac{12^2}{13^2}-\frac{5^2}{13^2}}{2\times\frac{12}{13}\times\frac{5}{13}}=\frac{144-25}{2\times12\times5}=\frac{119}{120}$
Hence, the correct answer is $\frac{119}{120}$.

Correct Answer: He was younger than his brother.

Solution : The first option is the correct answer.

The correct comparative form of young in this context is younger. The first option accurately uses the comparative form of the adjective and the correct preposition than to compare the age of the

Correct Answer: Six

Solution : Given:
JOURNEY

When the letters of JOURNEY are arranged in alphabetical order, the letter cluster formed is EJNORUY.

So, only 1 letter i.e. Y is in the same position as before and the rest six letters have changed their positions. Hence, the fourth option is