Based on the following table, what is the average number of screws manufactured in the unit over the given 6 months?
| Months | No. of screws manufactured, in thousand |
| Jan | 200 |
| Feb | 300 |
| Mar | 250 |
| Apr | 250 |
| May | 250 |
| Jun | 250 |
To find the average number of screws manufactured over the given 6 months, we need to sum the number of screws manufactured each month and then divide by the total number of months.
B) 250 — The average number of screws manufactured is 250 thousand.
The question asks to identify the product or sector associated with the 'Grey Revolution'. This requires knowledge of various agricultural and industrial revolutions in India, often named after colors.
D) fertilizers. The Grey Revolution is associated with the increased production of fertilizers, which played a crucial role in boosting agricultural output, particularly during and after the Green Revolution.
Convert 0.\(\overline{6}\) into a fraction:
\( \frac{2}{3} \)
\( \frac{4}{3} \)
\( \frac{2}{6} \)
\( \frac{6}{3} \)
To convert a repeating decimal (non-terminating but recurring) into a fraction, we use an algebraic method. We set the repeating decimal equal to a variable, multiply it by a power of 10 to shift the repeating part, and then subtract the original equation to eliminate the repeating digits.
Correct Option: A) \( \frac{2}{3} \)
To determine the number of atoms each carbon atom is bonded to in ethane, we need to understand the molecular structure of ethane and the valency of carbon.
Correct Option: D) Four atoms
Each carbon atom in ethane (\( \text{C}_2\text{H}_6 \)) is bonded to one other carbon atom and three hydrogen atoms, totaling four atoms.
What is the minimum number of lines required to make the following figure?
To determine the minimum number of lines required to create the given figure, we need to analyze the structure and count the lines systematically.
Thus, the minimum number of lines required is 18.
Correct Option: A) 18
To determine the chemical formula of an ionic compound like lithium nitride, we need to know the valencies (or common ionic charges) of the constituent elements. Lithium is an alkali metal, and nitrogen is a non-metal. We will use the criss-cross method based on their valencies.
D) Li₃N — This is the correct formula derived from the valencies of lithium (\(+1\)) and nitrogen (\(-3\)). Three lithium ions (\(3 \times +1 = +3\)) balance the charge of one nitride ion (\(1 \times -3 = -3\)).
The question asks about the historical period whose administration is described in Kautilya's Arthashastra. This requires knowledge of the author Kautilya and the historical context of his work.
Correct Option: D) The Arthashastra, authored by Kautilya (Chanakya), is a foundational text for understanding the administration, economy, and statecraft of the Mauryan Empire. Kautilya was the prime minister to Chandragupta Maurya, the founder of the Mauryan dynasty.
This question deals with the concept of net force, which is the vector sum of all forces acting on an object. When forces are equal in magnitude and opposite in direction, they cancel each other out.
Correct Option: C) zero
The question asks to identify the plant hormone that promotes cell division. We need to recall the primary functions of each given plant hormone.
Correct Option: B) Cytokinins — Cytokinins are plant hormones specifically known for promoting cell division (cytokinesis) in various plant tissues, including roots and shoots.
The question asks to identify the point that lies on the reflecting surface of a mirror. This requires understanding the basic terminology associated with spherical mirrors.
C) Pole — The Pole is defined as the geometric centre of the reflecting surface of a spherical mirror. Therefore, it always lies on the mirror's surface.