Correct Answer: in the project

Solution : The first option is the correct answer.

The phrase "beside the project" is less precise and may be confusing, as it doesn't clearly convey the relationship between the unexpected turn and the project itself. The substitution "in the project" better aligns with the likely intended meaning, indicating that the unexpected turn occurred within the project and had significant financial consequences for the company.

Therefore, the correct sentence should be: The unexpected turn in the project put the company in a big financial crisis.

Correct Answer:

Solution : Based on the general information, all the mothers and sisters are females. So, the circles that represent the mother and sister will lie inside the circle that represents females. Also, some sisters can be mothers, and some mothers and be sisters. So, their circle will overlap each other.
Therefore, the Venn diagram is as follows –

Hence, the third option is correct.

Correct Answer: Assen, Netherlands

Solution : The correct option is Assen, Netherlands.

The first edition of the World Para Table Tennis Championships was held in Assen, Netherlands, in 1990. Athletes with physical disabilities competed in various categories, showcasing their skill and determination on the international stage.

Correct Answer: Visakhapatnam

Solution : The correct answer is Visakhapatnam port.

In India, the majority of ports are found in the Western Ghats because it is a large block of uplifted land that provides favourable conditions for the construction of natural harbours and ports. A major port on the Eastern Coast is Visakhapatnam Port. It is the deepest landlocked and coastal port in India. It is also famous for iron ore exports.

Correct Answer: $\frac{24}{25}$

Solution : $\sqrt{\frac{5}{4} × \frac{64}{125} × 1.44}$
= $\sqrt{\frac{5}{4} × \frac{64}{125} × \frac{144}{100}}$
= $\sqrt{\frac{16}{25} × \frac{144}{100}}$
= $\sqrt{\frac{4×4}{5×5} × \frac{12 × 12}{10 × 10}}$
= $\frac{4}{5} × \frac{12}{10}$
= $\frac{24}{25}$
Hence, the correct answer is $\frac{24}{25}$.

Correct Answer: 12.5% decreased

Solution : Let the original price of the article be 100.
After a 25% increase, the new price $=100 + 25 = 125$
Then, a 30% decrease on the new price $=125 - \frac{30}{100}\times 125 = 87.5$
The net percentage change $=\frac{{\text{Final price} - \text{Initial price}}}{\text{Initial price}} \times 100$
$=\frac{{87.5-100}}{{100}} \times 100 = -12.5%$
Hence, the correct answer is 12.5% decreased.

Correct Answer: 8

Solution : If $x$ is subtracted from each of the numbers 20, 37, 54 and 105, then the numbers so obtained in this order are in proportion.
So, $\frac{(20-x)}{(37-x)} = \frac{(54-x)}{(105-x)}$
$⇒[(20-x)(105-x)]=[(54-x)(37-x)]$
$⇒34x=102$
$⇒x = 3$
The mean proportional between $(7x-5)$ and $(x+1)$ is the square root of their product. So, the mean proportional is $\sqrt{(7x-5)(x+1)}$.
Substituting $x = 3$ into the above expression, we get $\sqrt{(7\times3-5)(3+1)} = \sqrt{(16)(4)} = 8$
Hence, the correct answer is 8.

Correct Answer: Rukmini Devi Arundale

Solution : The correct answer is Rukmini Devi Arundale.

Kalakshetra Foundation, formerly known as Kalakshetra, is an esteemed arts and cultural academy situated in Chennai, India. Established in January 1936 by Rukmini Devi Arundale and George Arundale, the foundation is devoted to preserving traditional values in Indian art and crafts, particularly in Bharatanatyam dance and Gandharva Veda music. Recognising its significance, an Act of the Parliament of India in January 1994 designated the Kalakshetra Foundation as an "Institute of National Importance".

Correct Answer: Industrial sector

Solution : The correct answer is the Industrial sector.

There are three sectors: primary (the agriculture sector), secondary (the industrial sector) and tertiary (the transport sector). The industrial sector falls under the secondary sector. It is called so because this sector contributes the most to the tax payment structure. The film industry, information technology, etc. come under this category. This sector plays a major role in the development of India's GDP growth.

Correct Answer: Calm

Solution : Given:
Worried : Anxious :: At ease : ?

Like, Worried and Anxious are synonyms of each other.
Similarly, At ease means free from worry, or relaxed. So, from the options, Calm is the synonym for At ease.

Hence, the second option is correct.