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Correct Answer: 3

Solution :
OB = 1.7 cm
OC = 0.8 cm
In $\triangle$ OCB,
$OB^2 = OC^2 + CB^2$
⇒ $1.7^2 = 0.8^2 + CB^2$
⇒ $2.89 = 0.64 + CB^2$
⇒ $CB^2 = 2.89 – 0.64 = 2.25$
$\therefore$ $CB = 1.5$ cm
AB = 2 ×

Correct Answer: 20 sq. units

Solution : Let (x_1, y₁) = (0, 8)
(x_2, y₂) = (0, 0)
(x_3, y₃) = (5, 0)
Area of a triangle with vertices (x₁, y₁), (x₂, y₂),

Correct Answer: 17.9

Solution : 12 + 2.5 + (1.5 of 4) – 2.6
= 12 + (6) - 0.1
= 18 - 0.1
= 17.9
Hence, the correct answer is 17.9.

Correct Answer: 4 years

Solution : Given,
P = Rs. 600, A = Rs. 840, and T = 4 years,
Simple interest, SI = Amount – Principal
we can find the rate of interest (R):
⇒ R = $\frac{SI×100}{P×T}$​
⇒ R = $\frac{840−600​}{600×4}×100$
⇒ R = $\frac{240​}{2400}×100$
⇒ R =

Correct Answer: (2)

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

Explanation: The article "a" should be replaced with "the" in the sentence, after the noun, that is, Shakespeare, a well-known personality in English literature. So, the definite article "the" should be used here to

Correct Answer: $23030 \sqrt{23}$

Solution : Given, $\left(x+\frac{1}{x}\right)=5 \sqrt{2}$
Squaring both sides, we get,
$\left(x+\frac{1}{x}\right)^2=(5 \sqrt{2})^2$
⇒ $x^2+\frac{1}{x^2}+2\times x\times \frac{1}{x}=25\times 2$
⇒ $x^2+\frac{1}{x^2}+2=50$
⇒ $x^2+\frac{1}{x^2}=50-2$
⇒ $x^2+\frac{1}{x^2}=48$
Subtracting 2 from both sides, we get,
⇒ $(x-\frac{1}{x})^2=48-2$
⇒ $(x-\frac{1}{x})^2=46$
⇒ $(x-\frac{1}{x})=\sqrt{46}$
Now consider, $\left(x^6-\frac{1}{x^6}\right)$
We know, $a^2-b^2=(a-b)(a+b)$
$=(x^3+\frac{1}{x^3})(x^3-\frac{1}{x^3})$
Also, $a^3+b^3=(a+b)(a^2-ab+b^2)$ and

Correct Answer: Zoology

Solution : The correct choice is the first option.

Explanation:

The given group of words refers to the systematic study of animals, encompassing various aspects such as behaviour, structure, physiology, classification, and distribution. The term that precisely encapsulates this scientific discipline is zoology. It is the

Correct Answer: $1$

Solution : $\tan 6^{\circ} × \tan 45^{\circ} × \tan 84^{\circ}$
= $\tan 6^{\circ} × \tan 45^{\circ} × \tan (90^{\circ}-6^{\circ})$
= $\tan 6^{\circ} × \tan 45^{\circ} × \cot 6^{\circ}$
= $\tan 6^{\circ} × \tan 45^{\circ} × \frac{1}{\tan 6^{\circ}}$
= $\tan 45^{\circ}$
= $1$
Hence, the correct answer is

Correct Answer: agendas

Solution : The correct choice is the first option.

Explanation: The word agendas in this context emphasises that there are underlying intentions or purposes behind the content and interactions on social media, and individuals should be aware of these motives when engaging with the platform and its

Correct Answer: Mahatma Gandhi

Solution : The correct option is Mahatma Gandhi.

"Hind Swaraj" by Mahatma Gandhi, published in 1909, is a seminal work advocating Indian self-rule. It critiques modern civilisation's materialism, emphasising moral, and spiritual values. He promoted nonviolent resistance (Satyagraha) as the path to India's independence from