Correct Answer:

Solution : Given:
Spoon, Soup, Rice

Spoon, soup, and rice are not related to each other. So, their circles are not related to each other. So, they will not have areas in common in the Venn diagram.
The Venn diagram is –

Hence, the first option is correct.

Correct Answer: XXIX Olympic Games

Solution : The correct answer is the XXIX Olympic Games.

China hosted the 29th Summer Olympics which was held in Beijing. In 2008 the Olympic Games were held in China for the first time. The 2022 Winter Olympic Games were also held in Beijing. It became the first city in the world to host both the Olympic Games.

Correct Answer: Pradhan Mantri Formalisation of Micro Food Processing Enterprises (PMFME)

Solution : The correct answer is Pradhan Mantri Formalisation of Micro Food Processing Enterprises (PMFME).

The Ministry of Food Processing Industries, as part of the Atmanirbhar Bharat Abhiyan, has launched the "PM Formalisation of Micro Food Processing Enterprises (PMFME) Scheme". This centrally sponsored initiative aims to provide financial, technical and, business support to upgrade existing micro-food processing enterprises. Following the One District, One Product (ODOP) approach, the scheme focuses on enhancing value chains, aligning support infrastructure, and building capacity for two lakh microenterprises across 707 districts in 35 states and UTs.

Correct Answer: Rs. 10625

Solution : Here, the marked price of a laptop = Rs. 12000
Cost price of the laptop = Rs. $y$
According to the question,
(100 – 4)% of $y$ = (100 – 15)% of 12000
⇒ $y × \frac{96}{100}=\frac{85}{100}×12000=120×85$
⇒ $y = \frac{120×85×100}{96}$
$\therefore y = 10625$
Hence, the correct answer is Rs. 10625.

Correct Answer: $\frac{10}{3}$ days

Solution : Given: A can do a piece of work in 10 days, while A and B together can complete it in $2\frac{1}{2}$ days.
Let the total work = LCM of 10 and $2\frac{1}{2}$ i.e., $\frac{5}{2}$ = 10 units
Now, the efficiency of A = $\frac{10}{10}$ = 1
and the total efficiency of A and B = 10 ÷ $\frac{5}{2}$ = 4
So, the efficiency of B = (4 – 1) = 3
$\therefore$ B alone can complete the work in $\frac{10}{3}$ days.
Hence, the correct answer is $\frac{10}{3}$ days.

Correct Answer: B

Solution : Given:
(I) Only two people sit between A and B. B sits to the left of A. E is an immediate neighbour of A to the right.

(II) Only two people sit to the left of C. Only one person sits to the right of D. F is not an immediate neighbour of B.

So, B sits to the extreme left. Hence, the first option is correct.

Correct Answer: 1 : 1

Solution : Let the numbers be $x$ and $y$.
According to the question,
$(x + y)^2 = 4xy$
⇒ $x^2+y^2+2xy-4xy = 0$
⇒ $x^2+y^2-2xy = 0$
⇒ $(x -y)^{2} = 0$
⇒ $x = y$
$\therefore$ The required ratio is 1 : 1.
Hence, the correct answer is 1 : 1.

Correct Answer: 85,320

Solution :
Breadth = 12 m
Length = 2 × Breadth = 2 × 12 = 24 m
Area of rectangle = Length × Breadth = 12 × 24 = 288 m²
Cost of levelling = Rs. 100 per m²
Area of semi-circle = $\frac{1}{2}$ × $\pi r^2$
Area of semi-circle on larger side = $\frac{1}{2} \times \pi \times 12^2$ = $72\pi$ m$^2$
Area of semi-circle on smaller side = $\frac{1}{2} × \pi × 6^2$ = $18\pi$ m$^2$
The total area of the lawn = Area of the rectangle + 2 × Area of the semi-circle on the larger side + 2 × Area of the semicircle on the smaller side
Total area of lawn = 288 + (2 × 72$\pi$ ) + (2 × 18$\pi$)
Total area of lawn = 288 + 2$\pi$(72 + 18) = 288 + 2 × 3.14 × 90
 = 288 + 565.2 = 853.2 m$^2$
The total cost of levelling = Total area of lawn × 100
= 853.2 × 100
= 85,320
Hence, the correct answer is INR 85,320.

Correct Answer: 1

Solution : The correct choice is the first option.

"We have done" should be replaced with "we did" to emphasise the tense consistency action, indicating that everything was done to avert the storm. 

The sentence should be: "We had done everything that could be done to avert the storm which is now coming on."

Correct Answer: most

Solution : The correct choice is the second option.

Explanation: 

Most intelligent is the superlative form, indicating that Paresh is the most intelligent boy in his class, and it doesn't require a comparison with other students.

Therefore, the complete sentence is: All teachers agree that Paresh is the most intelligent boy in his class.