The question asks to identify a hardware input device from the given options. An input device is a piece of hardware that sends data to a computer, allowing users to interact with it and feed information. We need to evaluate each option to determine if it fits this definition.
Correct Option: C) Scanners
Scanners are hardware devices that capture images, documents, or objects and convert them into digital data that can be stored, processed, and displayed by a computer. This makes them classic examples of input devices.
To find the greatest number that divides 130, 305, and 245 leaving specific remainders, we first subtract the respective remainders from each number. This gives us new numbers that are perfectly divisible by the required greatest number. Then, we find the Highest Common Factor (HCF) or Greatest Common Divisor (GCD) of these new numbers.
Correct Option: A) 4 is the greatest number that divides 130, 305, and 245 leaving remainders 2, 1, and 1 respectively.
To find out how many bricks can be painted, we need to calculate the total surface area of one brick and then divide the total paintable area by the surface area of a single brick. Ensure all units are consistent (either meters or centimeters) before performing calculations.
C) 100 is the correct answer. The calculations show that 100 bricks can be painted with the given amount of paint.
The question asks about the maximum time gap allowed between two consecutive sessions of the Indian Parliament. This is a fundamental aspect of the Indian Constitution, specifically related to the functioning of the legislative body.
Correct Option: B) 6 months
The question asks for the meaning of the name 'Fani', which was given to a severe cyclone that hit Odisha in May 2019. This is a factual question related to current events and geography, specifically the naming conventions of cyclones.
Correct Option: C) Snake. The name 'Fani' is a Bengali word meaning 'snake' or 'hood of a snake'.
This problem involves similar triangles. A key property of similar triangles is that the ratio of their areas is equal to the square of the ratio of their corresponding altitudes (or any corresponding linear dimensions like sides, medians, etc.). We will use this property to find the area of the smaller triangle.
Identify the given information:
Recall the property of similar triangles:
For two similar triangles, the ratio of their areas is equal to the square of the ratio of their corresponding altitudes.
Substitute the given values into the formula:
Let \(A_1\) be the area of the triangle with altitude 4 cm, and \(A_2\) be the area of the triangle with altitude 6 cm.
Simplify the ratio of altitudes:
\[ \frac{4}{6} = \frac{2}{3} \]Calculate the square of the ratio:
\[ \left( \frac{2}{3} \right)^2 = \frac{2^2}{3^2} = \frac{4}{9} \]Set up the equation and solve for \(A_1\):
\[ \frac{A_1}{36 \text{ cm}^2} = \frac{4}{9} \]\[ A_1 = \frac{4}{9} \times 36 \text{ cm}^2 \]\[ A_1 = 4 \times 4 \text{ cm}^2 \]\[ A_1 = 16 \text{ cm}^2 \]The area of the other (smaller) triangle is 16 cm².
A) 16 cm² is the correct answer, as calculated using the property of similar triangles.
The question asks to identify the organization that developed a mobile facility for immediate relief in case of radioactive material attacks in January 2019. This requires knowledge of recent developments and initiatives by prominent Indian scientific and defense organizations.
Correct Option: C) DRDO
The Defence Research and Development Organisation (DRDO) developed a mobile facility in January 2019 to provide immediate relief in case of any attack involving radioactive material. This facility is designed to detect, identify, and contain radioactive substances, thereby minimizing the impact of such incidents.
The question asks to identify which option is NOT an example of an Operating System. To answer this, we need to understand what an Operating System (OS) is and then evaluate each given option.
Correct Option: A) MS Office is an application suite, not an operating system.
To find the area of the path, we need to calculate the area of the outer rectangle (the field) and the area of the inner rectangle (the field excluding the path). The area of the path will be the difference between these two areas. Since the path runs around and inside the field, its width reduces the dimensions of the inner rectangle from both sides.
Given, length of the field (\(L\)) = 100 m
Width of the field (\(W\)) = 80 m
Area of outer rectangle (\(A_{\text{outer}}\)) = Length \(\times\) Width
\[ A_{\text{outer}} = L \times W = 100 \text{ m} \times 80 \text{ m} = 8000 \text{ m}^2 \]The path has a uniform width of 10 m and runs around and inside the field. This means the path reduces the length and width of the inner area by 10 m from each side. So, the total reduction in length will be \(2 \times 10 \text{ m} = 20 \text{ m}\), and similarly for the width.
Length of the inner rectangle (\(l\)) = \(L - 2 \times (\text{path width})\)
\[ l = 100 \text{ m} - 2 \times 10 \text{ m} = 100 \text{ m} - 20 \text{ m} = 80 \text{ m} \]Width of the inner rectangle (\(w\)) = \(W - 2 \times (\text{path width})\)
\[ w = 80 \text{ m} - 2 \times 10 \text{ m} = 80 \text{ m} - 20 \text{ m} = 60 \text{ m} \]Area of inner rectangle (\(A_{\text{inner}}\)) = Length \(\times\) Width
\[ A_{\text{inner}} = l \times w = 80 \text{ m} \times 60 \text{ m} = 4800 \text{ m}^2 \]Area of path = Area of outer rectangle - Area of inner rectangle
\[ \text{Area of path} = A_{\text{outer}} - A_{\text{inner}} = 8000 \text{ m}^2 - 4800 \text{ m}^2 = 3200 \text{ m}^2 \]Correct Option: C) 3200 m²
The question asks to identify the famous landmark located between Lake Ontario and Lake Erie. This requires knowledge of the geography of the Great Lakes region, specifically the features connecting these two lakes.
Correct Option: A) Niagara Falls — Niagara Falls is a group of three waterfalls at the southern end of Niagara Gorge, spanning the border between the Canadian province of Ontario and the U.S. state of New York. It is located on the Niagara River, which drains Lake Erie into Lake Ontario.