The problem presents a statement describing a potential crisis and then offers three courses of action. We need to evaluate each course of action to determine if it logically follows as a reasonable and effective response to the stated problem.
Based on this evaluation, actions (ii) and (iii) are logical and appropriate responses.
B) Only actions (ii) and (iii) follow.
The question asks to identify the author of the 'Brihat Samhita', a significant ancient Indian text covering various scientific subjects. This requires knowledge of prominent ancient Indian scholars and their works.
Correct Option: C) Varahamihira is the author of the 'Brihat Samhita'. He was an ancient Indian astronomer, astrologer, and mathematician who lived in the 6th century CE. His work is a comprehensive compilation of scientific knowledge of his time.
The problem involves finding the greatest number among three numbers given their ratio and their sum. We can represent the numbers using a common multiple based on their ratio, sum these representations, and then solve for the common multiple. Once the common multiple is found, we can determine each number and identify the greatest one.
Let the three numbers be \(11x\), \(16x\), and \(23x\), where \(x\) is a common multiple.
The sum of these three numbers is given as 150. So, we can write the equation:
\[ 11x + 16x + 23x = 150 \]Combine the terms on the left side of the equation:
\[ (11 + 16 + 23)x = 150 \]\[ 50x = 150 \]Solve for \(x\):
\[ x = \frac{150}{50} \]\[ x = 3 \]Now that we have the value of \(x\), we can find each of the three numbers:
Identify the greatest number among 33, 48, and 69. The greatest number is 69.
D) 69 — As calculated, the three numbers are 33, 48, and 69. The greatest among them is 69.
The question asks to identify which Indian state shares the same latitudinal extent as Kerala. This requires knowledge of the geographical location and latitudinal spread of Kerala and the other given states.
Therefore, the latitudes that pass through Kerala also pass through Tamil Nadu.
C) Tamil Nadu — Tamil Nadu shares a significant portion of its latitudinal extent with Kerala, as both states are located in the southern part of the Indian peninsula.
This is an analogy question where we need to find the relationship between the first pair of words and apply the same relationship to the third word to find the fourth word.
Correct Option: D) Train. A Judge delivers a Verdict, and similarly, a Coach's primary action is to Train.
The question asks to identify the first chairman of the Indian Space Research Organisation (ISRO). This requires knowledge of the history and key figures associated with the establishment of India's space program.
Correct Option: C) Dr Vikram Sarabhai
Dr. Vikram Sarabhai was the visionary scientist who spearheaded India's space program and served as the first chairman of ISRO from its inception in 1969 until his death in 1971.
The question asks to identify the organism whose plant body is not differentiated into true roots, stems, and leaves. This characteristic is typical of simpler plant forms, specifically algae, which belong to the group Thallophyta. We need to evaluate each option based on its classification and plant body structure.
C) Spirogyra is a type of green algae. Algae belong to the division Thallophyta, characterized by a simple plant body (thallus) that is not differentiated into true roots, stems, and leaves. Instead, it has a filamentous or colonial structure.
To find the area of the rectangle, we first need to determine its length and breadth. We are given the perimeter and a relationship between the length and breadth. We can set up equations based on these given conditions and solve for the dimensions, then calculate the area.
Let the breadth of the rectangle be \(b\) metres.
According to the problem statement, the length (\(l\)) is thrice its breadth. So, we can write:
\[ l = 3b \]The perimeter of a rectangle is given by the formula \(P = 2(l + b)\). We are given that the perimeter is 240 metres.
\[ 2(l + b) = 240 \]Substitute the expression for \(l\) from step 2 into the perimeter equation:
\[ 2(3b + b) = 240 \]\[ 2(4b) = 240 \]\[ 8b = 240 \]Solve for \(b\):
\[ b = \frac{240}{8} \]\[ b = 30 \text{ metres} \]Now, find the length \(l\) using the relationship \(l = 3b\):
\[ l = 3 \times 30 \]\[ l = 90 \text{ metres} \]Finally, calculate the area of the rectangle. The area (\(A\)) of a rectangle is given by the formula \(A = l \times b\).
\[ A = 90 \times 30 \]\[ A = 2700 \text{ m}^2 \]Correct Option: C) 2700 m²
To solve this problem, we need to track Pallavi's movements in the North-South and East-West directions separately. We can consider North as positive and South as negative for vertical displacement, and East as positive and West as negative for horizontal displacement. Finally, we calculate the net displacement from the starting point (college library) to the final stopping point (candy shop).
Correct Option: C) 115 m, south
To find the measure of each exterior angle of a regular polygon, we use the property that the sum of all exterior angles of any convex polygon is \(360^\circ\). For a regular polygon, all exterior angles are equal. Therefore, we can divide the total sum by the number of sides (or angles) of the polygon.
Correct Option: A) 45°