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The eligibility criteria for the exam is given below ;-

RUHS M.Sc Eligibility Criteria Must have scored a minimum of 60% aggregate marks in B.V. Sc and AH from a recognized university . 5% relaxation in qualifying examinations is provided to

Correct Answer: (2)

Solution : The error lies in the second part of the sentence.

Each is singular, and it should be followed by the singular verb. Hence, are must be replaced with is to maintain the subject-verb agreement.

Therefore, the correct sentence is: "Each of the girls is clever."

Correct Answer: userp

Solution : The correct choice is the third option.

Explanation: The correct spelling is "usurp". It means to take a position of power or importance illegally or by force, often without having the right or authority to do so. For instance, a person might "usurp"

Correct Answer: $5\frac{1}{2}$

Solution : $\sin^{2}1^{\circ}+\sin^{2}11^{\circ}+\sin^{2}21^{\circ}+\sin^{2}31^{\circ}+\sin^{2}41^{\circ}+\sin^{2}45^{\circ}+\sin^{2}49^{\circ}+\sin^{2}59^{\circ}+\sin^{2}69^{\circ}+\sin^{2}79^{\circ}+\sin^{2}89^{\circ}$
Using the identity $\sin(90^{\circ} - \theta) = \cos\theta$, we get,
$\sin^{2}49^{\circ}=\sin^{2}(90^\circ-41^{\circ}) = \cos^2{41}^\circ$
$\sin^{2}59^{\circ}=\sin^{2}(90^\circ-31^{\circ}) = \cos^2{31}^\circ$
$\sin^{2}69^{\circ}=\sin^{2}(90^\circ-21^{\circ}) = \cos^2{21}^\circ$
$\sin^{2}79^{\circ}=\sin^{2}(90^\circ-11^{\circ}) = \cos^2{11}^\circ$
$\sin^{2}89^{\circ}=\sin^{2}(90^\circ-1^{\circ}) = \cos^2{1}^\circ$
$=\sin^{2}1^{\circ}+\sin^{2}11^{\circ}+\sin^{2}21^{\circ}+\sin^{2}31^{\circ}+\sin^{2}41^{\circ}+\sin^{2}45^{\circ}+\cos^{2}41^{\circ}+\cos^{2}31^{\circ}+\cos^{2}21^{\circ}+\cos^{2}11^{\circ}+\cos^{2}1^{\circ}$Each pair adds up to $1$ because $\sin^{2}\theta + \cos^{2}\theta = 1$
$=5+\sin^{2}45^{\circ}$
$=5+\frac{1}{2}$
$=\frac{11}{2}=5\frac{1}{2}$
Hence, the correct answer

Correct Answer: Recessionary gap
    

Solution : The correct answer is (a) Recessionary gap.

A recessionary gap occurs when the equilibrium level of output in an economy is below the potential level of output. When aggregate supply exceeds aggregate demand, it means that businesses are producing more goods and services than

Correct Answer: Daughter's son

Solution : Given:
P – Q ⇒ P is the wife of Q
P ÷ Q ⇒ P is the husband of Q
P × Q ⇒ P is the son of Q
P + Q ⇒ P is the daughter of Q

As per the

Correct Answer: (3)

Solution : The error lies in the third part of the sentence.

The reason for the error is the incorrect usage of subject-verb agreement. "User" is a singular noun, so the verb should be "is" instead of "are" to match in singular form.

So, the correct sentence

Correct Answer: Tire

Solution : The correct choice is the third option.

Explanation: Invigorate means to fill with energy or vitality, to refresh and stimulate. The word typically conveys a sense of renewal and increased vigour. On the other hand, the antonym tire refers to the state of becoming

Correct Answer: $0$

Solution : $x = \sqrt[3]{3} + 2$
⇒ $x - 2 = \sqrt[3]{5}$
By cubing on both the sides,
$⇒x^3-6x^2+3x (-2)^2-2^3=5$ [since $(a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3$]
$⇒x^3-6x^2+12x-8-5=0$
$⇒x^3-6x^2+12x-8-5=0$
$⇒x^3-6x^3+12x-13=0$
Hence, the correct answer is $0$.

Correct Answer: It provides insights into social and cultural aspects 

Solution : The Mahabharata is considered a significant text for studying ancient Indian society because it provides insights into social and cultural aspects, reflecting the values and beliefs of the time.