Correct Answer: 749 – 974

Solution : Let's check each option –
First option: 317 – 713; 317 after interchanging the position of first and third digit→713
Second option: 342 – 243; 342 after interchanging the position of first and third digit→243
Third option: 749 – 974; 749 after interchanging

Correct Answer: $\frac{5}{6}$

Solution : $x=\sqrt{3}+\frac{1}{\sqrt{3}}$
⇒ $x=\frac{3+1}{\sqrt{3}}$
⇒ $x=\frac{4}{\sqrt{3}}$
Now,
$(x-\frac{\sqrt{126}}{\sqrt{42}} )(x-\frac{1}{x-\frac{2\sqrt{3}}{3}})$
Putting the value of $x$, we get,
= $(\frac{4}{\sqrt{3}}-\frac{\sqrt{126}}{\sqrt{42}})(\frac{4}{\sqrt{3}}-\frac{1}{\frac{4}{\sqrt{3}}-\frac{2\sqrt{3}}{3}})$
= $(\frac{4\sqrt{42}-\sqrt{126}\sqrt{3}}{\sqrt{42}\sqrt{3}} )(\frac{4}{\sqrt{3}}-\frac{1}{\frac{2}{\sqrt{3}}})$
= $(\frac{4\sqrt{42}-3\sqrt{42}}{\sqrt{42}\sqrt{3}})(\frac{4}{\sqrt{3}}-\frac{\sqrt{3}}{2})$
= $(\frac{\sqrt{42}}{\sqrt{42}\sqrt{3}})(\frac{4}{\sqrt{3}}-\frac{\sqrt{3}}{2})$
= $(\frac{1}{\sqrt{3}})(\frac{8-3}{2\sqrt{3}})$
= $\frac{5}{6}$
Hence, the correct answer is $\frac{5}{6}$.

Correct Answer: $1\frac{81}{289}$

Solution : Given, $\cot \theta=\frac{9}{17}$
$⇒\cot^2 \theta = \frac{81}{289}$
We know, $\cot^2 \theta = \operatorname{cosec}^2 \theta-1$
$⇒\operatorname{cosec}^2 \theta-1=\frac{81}{289}$
$⇒\operatorname{cosec}^2 \theta=1+\frac{81}{289}$
$⇒\operatorname{cosec}^2 \theta=1\frac{81}{289}$
Hence, the correct answer is $1\frac{81}{289}$.

Correct Answer: 12

Solution : Given, p + q = 7
Squaring both sides,
p² + q² + 2pq = 49
⇒ 25 + 2pq = 49
⇒ 2pq = 24
⇒ pq = 12
Hence, the correct answer is 12.

Correct Answer: Malini Awasthi

Solution : The correct answer is Malini Awasthi.

Malini Awasthi is an Indian folk singer who was born on February 11, 1967. She performs Thumri and Kajri songs in addition to singing in Bhojpuri, Awadhi, and Hindi. In 2016, the Indian government bestowed upon her the

Correct Answer: 124

Solution : Given:
88, 94, 106, ?, 148, 178

Add consecutive multiples of 6 to each of the previous terms to obtain the next term.
88 + 6 = 94; 94 + 12 = 106; 106 + 18 = 124; 124 + 24 = 148; 148 +

Correct Answer: South-west

Solution : As per the given information, if Mohan is chasing a bike that is moving in the south-west direction then, Mohan is also moving in the south-west direction.

Hence, the fourth option is correct.

Correct Answer: My book was stolen by Suresh.

Solution : The third option is the correct choice.

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 sentence becomes the subject in the passive

Correct Answer: DBAC

Solution : The correct choice is the third option.

Arranged in order, the paragraph discusses the extensive time and cost involved in drug development, the high failure rate, and questions why Silicon Valley entrepreneurs aren't interested in decoding ancient wisdom despite these issues in modern practises, concluding

Correct Answer: Folded Structure

Solution : The correct answer is Folded Structure.

Nappe is a folded structure formed by the folding or faulting of rocks. When a rock moves by 2 km or more by folding over another rock, it forms a landform known as nappe. It is formed