Using Vieta's formulas, the sum of the roots is -(-12)/3 = 4.

Using Vieta's formulas, the sum of the roots is -(-12)/3 = 4.

Using Vieta's formulas, sum of roots = -b/a = 12/3 = 4, hence k = 8.

The sum of the roots is given by -b/a = 7/1 = 7.

The sun is associated with the day, while the moon is associated with the night.

The capillary rise method is commonly used to measure surface tension by observing the height to which a liquid rises in a capillary tube.

The Sykes-Picot Agreement was a secret agreement between Britain and France that divided the Ottoman Empire's territories in the Middle East after World War I.

The Taj Mahal is a prime example of Indo-Islamic architecture, combining elements of Persian, Islamic, and Indian architectural styles.

The word 'quiet' is appropriate as it is expected behavior during a lecture.

The word 'performance' indicates a positive outcome on the test.

The word 'pleased' indicates satisfaction with the students' performance.

The word 'team' is a collective noun and takes a singular verb.

The word 'hard' indicates diligent effort to meet the deadline.

An innovative approach to problem-solving is typically flexible rather than rigid or traditional.

True value can be in the range of (Measured value - Error) to (Measured value + Error) = 25°C ± 1°C = 24°C to 26°C.

Adsorption is the process where molecules accumulate on the surface of a solid or liquid.

'Ameliorate' means to make something better or improve it, thus 'to improve' is the correct answer.

'Ameliorate' means to make something better or improve it, which corresponds to the option 'to improve'.

An 'anomaly' is something that deviates from what is standard, normal, or expected, which fits the context of the passage.

'Anomaly' refers to something that deviates from what is standard, normal, or expected, indicating an irregularity.

An 'anomaly' is something that deviates from what is standard, normal, or expected.

Binomial nomenclature is the two-part naming system for species, consisting of the genus and species name.

'Candid' means truthful and straightforward; frank.

'Cognitive dissonance' refers to the mental discomfort experienced when holding two conflicting beliefs.

Cultural Landscape refers to the visible imprint of human activity on the landscape, illustrating the interaction between human culture and the physical environment.

In ancient Indian kingdoms, 'Dharma' primarily referred to law and order, as well as moral and ethical duties.

'Dichotomy' refers to a division into two parts that are often opposed or contrasted, which is a key theme in the passage.

Feudalism is a social and economic system that dominated Europe during the Middle Ages, characterized by the exchange of land for military service and the hierarchical structure of lords and vassals.

Mahajanapadas refers to the sixteen great kingdoms that existed in ancient India during the 6th century BCE.

'Quintessential' means representing the most perfect or typical example of a quality or class, making 'the most typical example' the right answer.