The question asks about the number of Indian Institutes of Technology (IITs) established during India's First Five-Year Plan. To answer this, we need to recall the timeline of the First Five-Year Plan and the establishment dates of the initial IITs.
A) Five — The first five IITs (Kharagpur, Bombay, Madras, Kanpur, and Delhi) are historically considered to have been established or initiated under the First Five-Year Plan's vision for technical education, even if their official inauguration dates extended slightly beyond the plan's end in 1956.
The question asks for the year in which Operation Flood, a program aimed at creating a nationwide milk grid, was initiated. This is a factual question related to India's agricultural and economic history, specifically the "White Revolution."
B) 1970 is the correct answer. Operation Flood was launched in 1970 to transform India's dairy sector.
Seven boxes, O, Q, P, R, S, T and U, are kept one over the other, but not necessarily in the same order. Only four boxes are between Q and P. U is exactly in the middle of the pile. R is immediately below Q. S is exactly third from the bottom. Only T is between S and P. Q is immediately below O. Which box is at the top-most position?
This is a logical reasoning problem involving the arrangement of seven boxes. We need to deduce the exact position of each box based on the given clues and then identify the box at the top-most position. We will build the arrangement step-by-step.
Correct Option: D) O
In a row of people all facing north, Mohit is at 20th position from the extreme left end and 30th from the extreme right end of the row. How many people are there in the row?
This problem involves determining the total number of people in a row given an individual's position from both ends. The key is to understand that when a person's position is counted from both ends, that person is counted twice. Therefore, to find the total number of people, we add the positions from both ends and subtract 1 (to account for the person being counted twice).
D) 49 is the correct answer. By adding Mohit's position from the left (20) and his position from the right (30) and then subtracting 1 (because Mohit himself is counted twice), we get the total number of people in the row as 49.
This question tests the fundamental properties of parallel lines intersected by a transversal. Specifically, it asks about the sum of interior angles on the same side of the transversal. We need to recall the theorem related to these angles.
Correct Option: C) 180°
This question involves analyzing a series of inequalities and equalities to determine the truthfulness of given conclusions. We need to combine the given statement to establish relationships between the variables and then check each option against these relationships.
A) \(V > U\)
The question asks to identify which of the given options is NOT an example of a fixed cost for a firm. To answer this, we need to understand the definition of fixed costs and variable costs.
Based on the analysis, maintenance and repair costs are the most likely to vary with the level of production, making them not a purely fixed cost.
Correct Option: B) Maintenance and repair. These costs can fluctuate based on the level of production and usage of assets. For instance, if a factory produces more, its machinery will undergo more wear and tear, leading to higher maintenance and repair expenses. Thus, they have a variable component and are not purely fixed.
30 soldiers are standing in a straight row facing the north. Ramsingh is 6th from the right end and Abhimanyu is 14th from the right end as well. How many soldiers are standing between Ramsingh and Abhimanyu?
The problem asks us to find the number of soldiers standing between two specific individuals, Ramsingh and Abhimanyu, in a row. Both their positions are given from the right end of the row. We can determine their positions relative to each other by subtracting their ranks from the right end.
B) 7. There are 7 soldiers standing between Ramsingh and Abhimanyu.
The problem provides a percentage of a number and its corresponding value. We need to find another percentage of the same number. We can first find the full number (100%) and then calculate the required percentage, or we can directly find the ratio of the percentages.
Let the unknown number be \(X\).
According to the problem statement, 25% of the number \(X\) is 1320. We can write this as an equation:
\[ 0.25 \times X = 1320 \]or
\[ \frac{25}{100} \times X = 1320 \]Now, we need to find 35% of the same number \(X\). Let this value be \(Y\).
\[ Y = \frac{35}{100} \times X \]We can find \(X\) from the first equation:
\[ X = \frac{1320}{0.25} \] \[ X = 1320 \times 4 \] \[ X = 5280 \]Now substitute the value of \(X\) into the equation for \(Y\):
\[ Y = \frac{35}{100} \times 5280 \] \[ Y = 0.35 \times 5280 \] \[ Y = 1848 \]Alternatively, we can set up a proportion:
If 25% corresponds to 1320, then 35% corresponds to what value?
\[ \frac{25\%}{35\%} = \frac{1320}{Y} \] \[ Y = \frac{35}{25} \times 1320 \] \[ Y = \frac{7}{5} \times 1320 \] \[ Y = 7 \times \frac{1320}{5} \] \[ Y = 7 \times 264 \] \[ Y = 1848 \]B) 1848 is the correct value for 35% of the number.
The question asks for the missing term in the formula for Average Product (AP) in Economics. We need to recall the definition of Average Product and its relationship with other production concepts.
Correct Option: C) Total product
The Average Product of labor is defined as the total product (total output) divided by the number of units of labor employed. It measures the productivity of each unit of labor on average.