Correct Answer: Yamini Krishnamurthy

Solution : The correct option is Yamini Krishnamurthy.

In Madras, Yamini Krishnamurthy made his debut in 1957. She enjoys the privilege of being the Tirumala Tirupati Devasthanam's Asthana Nartaki (resident dancer). She is a renowned Indian classical dancer, primarily in Bharatanatyam and Kuchipudi styles. She's celebrated for her graceful and expressive performances, contributing to the art form's preservation and promotion.

Correct Answer: (2)

Solution : The correct option is the second option.

Far from there correctly conveys the idea that the place is a distance away from the current location, and from is the correct preposition to be used in this sentence to make it grammatically accurate.

Therefore, the correct sentence is, "It is a place far from there".

Correct Answer: varied

Solution : The second option is correct.

The sentence suggests that individuals are deeply attached to their favourite teams to the extent that they exhibit a range of emotions, not just during the match but also long after the event has concluded.

Varied fits well in this context, implying a broad spectrum of emotions experienced by these individuals.

The meanings of the other options are as follows::

• Hurried: It describes something done quickly or in haste, often implying a rushed or hurried manner without much consideration or thought.
• Concrete: It pertains to something specific, real, tangible, or definite. It can refer to something actual, physical, or clear-cut.
• Dread: This term refers to a feeling of extreme fear, anxiety, or apprehension about something.

Correct Answer: The grandeur of the ancient Roman Empire is visible in many monuments in Italy and Greece.

Solution : The third option is correct.

• In the given options, the incorrect spellings are granduor, grandour, and granduer.
• The correct spelling is grandeur.

Therefore, the correct sentence would be, without spelling error, "The grandeur of the ancient Roman Empire is visible in many monuments in Italy and Greece".

Correct Answer: $\frac{s+t-u}{s-t-u}$

Solution : Given:
$\frac{(s^2+t^2+2 s t)-u^2}{s^2-(t^2+2 t u+u^2)}$
We know $\small a^2+b^2 +2ab = (a+b)^2$ and $\small a^2+b^2-2ab = (a-b)^2$
So, $\frac{(s^2+t^2+2 s t)-u^2}{s^2-(t^2+2 t u+u^2)}=\frac{(s+t)^2 - u^2}{s^2 - (t+u)^2}$
$=\frac{(s+t+u)(s+t-u)}{(s+t+u)(s-t-u)}$ [using $\small a^2 - b^2 = (a+b)(a-b)$]
$=\frac{s+t-u}{s-t-u}$
Hence, the correct answer is $\frac{s+t-u}{s-t-u}$.

Correct Answer: 1801

Solution : The correct answer is 1801.

The subsidiary alliance treaty was imposed on Awadh in 1801. This was one of the measures taken by the British East India Company to extend its control and influence over various Indian princely states during the period of British colonial rule in India.

Correct Answer: 3.48

Solution : Total distance covered by them = $(6\times2) + (2\times1) + (1×\frac{18}{5}) + (4\times3)$
= $12 + 2 + 3.6 + 12 = 29.6$ km
Total time = 2 + 1 + 1.5 + 1 + 3 = 8.5 hr
Average speed = $\frac{29.6}{8.5}=$3.48235 = 3.48 km/hr approx.
Hence, the correct answer is 3.48.

Correct Answer: Yardang

Solution : The correct option is Yardang.

Yardangs are geological formations generated in dry or desert locations by the deflating effect of wind. They are the consequence of abrasive wind-blown particles selectively eroding soft or easily erodible sedimentary material. When prevailing winds erode weaker areas of the terrain repeatedly, they form elongated, parallel ridges and troughs, with the ridges formed of more resistant material. Yardangs, which are significant structures in desert landscapes of varied sizes and shapes, are often orientated in the direction of prevailing winds and provide unique insights into the erosional processes forming arid settings.
 

Correct Answer: 16

Solution : The sum of the interior angle Polygon A = 1260°
If the sides of the polygon A are n_A.
⇒ (n_A – 2) × 180° = 1260°
⇒ (n_A – 2) = $\frac{1260°}{180°}$ = 7
⇒ n_A = (7 + 2) = 9
Each interior angle of a regular polygon B = $\frac{900}{7}$
If the sides of the polygon B are n_B.
⇒ 180° × (n_B – 2) = $\frac{900}{7}$ × n_B
⇒ 180n_B – $\frac{900}{7}$ × n_B = 360
⇒ $\frac{360}{7}$ × n_B = 360
$\therefore$ n_B = 7
The sum of sides of polygons A and B = 7 + 9 = 16
Hence, the correct answer is 16.

Correct Answer: QOMK

Solution : Given:
BDFH : YWUS :: JLNP : ?

Like, BDFH : YWUS→(BY, DW, FU, HS) are opposite pairs.
Similarly, for JLNP : (?)→(JQ, LO, NM, PK) are opposite pairs.

Thus, JLNP is coded as QOMK. Hence, the first option is correct.