Correct Answer: Rabindranath Tagore

Solution : The correct answer is Rabindranath Tagore.

Rabindranath Tagore's pseudonym is "Bhanusingha". He was a famous Bengali polymath, poet, musician, and artist, and was the first Indian-origin person to win the Nobel Prize for literature in 1913.

Correct Answer: Sriharikota

Solution : The correct option is Sriharikota.

The satellite launching centre of India is called the Satish Dhawan Space Centre. It is located in Sriharikota, Andhra Pradesh. It is the primary launch centre for the Indian Space Research Organisation (ISRO), responsible for launching satellites into various orbits for different purposes, including communication, Earth observation, navigation, and scientific research.

Correct Answer: 96

Solution : Given:
6 : 32 :: 10 : ? :: 11 : 117

Square the number given in the first term and then subtract 4 from the resultant number, to obtain the required missing term –
Like, 6 : 32→6² – 4 = 36 – 4 = 32
And, 11 : 117→11² – 4 = 121 – 4 = 117
Similarly, follow the same pattern for 10 : ?→
10² – 4 = 100 – 4 = 96

So, 96 is the required missing number. Hence, the fourth option is correct.

Correct Answer: $2$

Solution : Given: $a^2+b^2=2$ and $c^2+d^2=1$
$(ad-bc)^2+(ac+bd)^2$
$= (ad)^2+(bc)^2-2abcd+(ac)^2+(bd)^2+2abcd$
$=d^2(a^2+b^2)+c^2(a^2+b^2)$
$=(a^2+b^2)(c^2+d^2)$
$=2 \times 1$
$=2$
Hence, the correct answer is 2.

Correct Answer: Dayal

Solution : Given:
(I) Six students Shree, Dayal, Sharda, Tripti, Shrishti and Manju are sitting around a circular table facing the centre. Shree is an immediate neighbour of both Dayal and Tripti.

(II) Manju is sitting second to the right of Dayal. Shrishti is an immediate neighbour of both Manju and Tripti.

So, Manju and Dayal are immediate neighbours of Sharda. Hence, the first option is correct.

Correct Answer: 10,00,000 tonnes

Solution : According to the question,
Production of cement by company C in 2015 = 45 lakh tonnes
Production of cement by company B in 2018 = 55 lakh tonnes
Now the difference in both amounts = 55 lakh tonnes – 45 lakh tons = 10 lakh tonnes or 10,00,000 tonnes
Hence, the correct answer is 10,00,000 tonnes.

Correct Answer: Unambiguous

Solution : The correct choice is the third option.

Unequivocal means leaving no doubt or uncertainty. In this context, unambiguous is a suitable synonym because it also conveys the idea of being clear, definite, and without any ambiguity or confusion.

The meanings of the other words are:

• Articulate: Able to express thoughts and ideas clearly and effectively; well-spoken.
• Complete: Having all necessary or normal parts, components, or steps; entirely finished or whole.
• Doubted: To be uncertain about something; to consider something unlikely or question its validity or truth.

Therefore, the right answer is unambiguous.

Correct Answer: 21

Solution : Width of the circular path = 64 cm
Diameter of the circular garden = 10m = 1000 cm
The radius of the circular garden = $\frac{1000}{2}$ = 500 cm
Inner radius, $r$ = 500 cm 
Outer radius, $R$ = (500 + 64) = 564 cm
Area of path = Outer area – Inner area
= $\pi (R^2-r^2)$
= $\frac{22}{7} \times (564^2 - 500^2)$
= $\frac{22}{7} \times (564 + 500)(564 - 500)$
= $\frac{22}{7} \times 1064 \times 64$
= $214016 $ cm²
= $21.4016\approx 21$ m²
Hence, the correct answer is 21.

Correct Answer: French

Solution : The correct option is French.

Mallika Sarabhai, an Indian classical dancer, was honoured by the French government with the Chevalier des Palmes Académiques in 2005. The Chevalier des Palmes Académiques is a French order bestowed to recognise significant contributions to the field of education and culture.

Correct Answer: E

Solution : According to the question
Percentage of girls in a school= $\frac{\text{Number of girls}}{\text{Total number of students}}$ × 100
In school A, percentage of girls = $\frac{500}{1100}$ × 100 = 45.4%
In school B, percentage of girls = $\frac{550}{1000}$ × 100 = 55%
In school C, percentage of girls = $\frac{650}{1400}$ × 100 = 46.4%
In school D, percentage of girls = $\frac{600}{1300}$ × 100 = 46.1%
In school E, percentage of girls = $\frac{650}{1450}$ × 100  = 44.8%
So, school E has a minimum percentage of girls. 
Hence, the correct answer is E.