Correct Answer: 10 raised to the power (-9)

Solution : The correct answer is 10 raised to the power (-9)

A nanometer is one billionth of a meter in length. One meter contains one billion nanometers. The unit for small objects, such as atoms and molecules, is called a nanometer.

Correct Answer: 2

Solution : The correct option is 2.

Tamil Nadu's Archana Suseendran defeated Hima Das in the 100 m final. She also won 200 m to claim a double gold in the AFI Indian Grand Prix 2. This double victory led her to the Asian Games.

Correct Answer: Srinagar and Leh

Solution : The correct option is Srinagar and Leh.

In India's western Himalayan mountain range, between Srinagar and Leh, there is a high mountain pass called Zoji La. It is accessible by Indian National Highway 1. Ladakh and Kashmir are connected through Zoji La.

Correct Answer: 60°

Solution : Given: $\sin (p+q)=1$ and $\cos (p-q)=\frac{\sqrt{3}}{2}$
$\sin (p+q)=\sin 90°$ and $\cos (p-q)=\cos 30°$
⇒ $(p+q)=90°$ ------------(1)
And $(p-q)=30°$ --------- (2)
Adding equations (1) and (2), we have,
⇒ $2p=120°$
⇒ $p=60°$
Hence, the correct answer is 60°.

Correct Answer: $\frac{1}{\sqrt2}(\sqrt{7}–\sqrt{3})$

Solution : Given: $x=5–\sqrt{21}$
⇒ $\sqrt{x}=\sqrt{5–\sqrt{21}}$
⇒ $\sqrt{x}={\sqrt \frac{10–2\sqrt{21}}{2}}$
⇒ $\sqrt{x}=\sqrt{\frac{7+3–2\sqrt{7}\sqrt{3}}{2}}$
⇒ $\sqrt{x}=\sqrt{\frac{(\sqrt{7}–\sqrt{3})^{2}}{2}}$
⇒ $\sqrt{x}=\frac{\sqrt{7}–\sqrt{3}}{\sqrt{2}}$
Putting the value of $\sqrt{x}$ in the expression $\frac{\sqrt{x}}{\sqrt{32–2x}–\sqrt{21}}$, we have:
= $\frac{\frac{\sqrt{7}–\sqrt{3}}{\sqrt{2}}}{\sqrt{32–10+2\sqrt{21}}–\sqrt{21}}$
= $\frac{\frac{\sqrt{7}–\sqrt{3}}{\sqrt{2}}}{\sqrt{22+2\sqrt{21}}–\sqrt{21}}$
= $\frac{\frac{\sqrt{7}–\sqrt{3}}{\sqrt{2}}}{\sqrt{21+1+2\sqrt{21}.\sqrt{1}}–\sqrt{21}}$
= $\frac{\frac{\sqrt{7}–\sqrt{3}}{\sqrt{2}}}{\sqrt{(\sqrt{21}+\sqrt{1})^{2}}–\sqrt{21}}$
= $\frac{\frac{\sqrt{7}–\sqrt{3}}{\sqrt{2}}}{\sqrt{21}+1–\sqrt{21}}$
= $\frac{1}{\sqrt{2}}(\sqrt{7}–\sqrt{3})$
Hence, the correct answer is $\frac{1}{\sqrt{2}}(\sqrt{7}–\sqrt{3})$.

Correct Answer: Plutonium

Solution : The correct answer is Plutonium.

Plutonium is an artificial metal i.e. it is not found naturally in large amounts. It has an atomic number of 94 and is placed in actinide series in the periodic table. It is an radioactive material and is formed when

Correct Answer: (3)

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

A question tag is a short clause that is added at the end of a statement to turn it into a question. In the case of a positive statement, a negative question tag is formed

Correct Answer: hoard

Solution : The correct choice is the second option.

Hoard means to accumulate and store away for future use. In the context of the sentence, it refers to ants collecting and storing food during the summer to use later in the winter.

The meanings of the

Correct Answer: KQGOO

Solution : Given:
HUMAN is coded as JYSIX.

Add consecutive even numbers to the positional value of each letter of HUMAN to obtain the required code –
H + 2 = J; U + 4 = Y; M + 6 = S; A + 8 = I;

Correct Answer: white fibres and some yellow fibres

Solution : The correct options are white fibres and some yellow fibres.

Ligaments are made up of white collagen fibres and some yellow elastic fibres. White collagen fibres are the fundamental structural component of ligaments, providing strength and stability. Yellow Elastic