The question asks about the specific statistical measure that can be determined graphically from a histogram. A histogram is a graphical representation of the distribution of numerical data. It is particularly useful for visualizing the frequency distribution of continuous data.
D) mode graphically — As explained above, the mode can be accurately estimated graphically from a histogram by identifying the modal class and drawing intersecting lines to find the peak of the distribution.
The question asks to identify the first Indian individual to win the Pulitzer Prize. This requires knowledge of the history of the Pulitzer Prize and its Indian recipients.
Correct Option: D) Gobind Behari Lal was the first Indian to win the Pulitzer Prize. He received the award in 1937 for his reporting on science.
This problem involves simple interest calculations. We need to find the principal amount Kumar lent to Arif. We are given the interest Arif received after lending the amount to Naresh, and the interest rates and time periods for both transactions. The key is to understand that the amount Arif lent to Naresh is the same amount Kumar lent to Arif.
D) ₹5,200
Let's re-evaluate the steps. The question states, "If the interest Arif received was ₹1,560 after 3 years". This implies the *net* interest Arif received, i.e., the interest Arif earned from Naresh minus the interest Arif paid to Kumar. This is a common interpretation in such problems.
Thus, the amount Kumar had lent to Arif was ₹5,200.
We are given the initial ratio of money Arun and Ahaan had. Then, a transaction occurs where Arun gives money to Ahaan, changing the ratio. We need to find the initial amount of money Arun had. We can set up algebraic equations based on the given ratios and solve for the unknown quantities.
C) ₹108 is the correct answer. This matches our calculation for Arun's initial money.
The problem states that the area of a rectangle is equal to the area of a square. We need to find the width of the rectangle given its length and the side of the square. We will use the formulas for the area of a square and the area of a rectangle to solve this problem.
Thus, the width of the rectangle is 16 m.
Correct Option: D) 16 m
The question asks about the fundamental composition of ROM (Read-Only Memory). To answer this, we need to understand what ROM is and how modern electronic components are manufactured.
Correct Option: C) integrated circuits — ROM is a type of memory chip, and all modern memory chips are fabricated as integrated circuits on semiconductor material.
Global weather forecasting involves processing vast amounts of real-time data from satellites, sensors, and ground stations, and running complex atmospheric models. This requires immense computational power, speed, and memory. We need to identify the type of computer capable of handling such demanding tasks.
A) supercomputers — Supercomputers are specifically designed for complex, high-speed calculations and processing of massive datasets, making them indispensable for global weather forecasting and climate modeling.
The question asks for the full form of ENIAC, which was the first general-purpose electronic computer. This is a factual recall question related to the history of computing.
Correct Option: A) Electronic Numerical Integrator and Computer
This is the historically accurate full form of ENIAC. ENIAC was designed and built for the U.S. Army's Ballistic Research Laboratory to calculate artillery firing tables. Its name reflects its electronic nature and its primary function of numerical integration and general computation.
This is a syllogism problem that can be solved using Venn diagrams or by analyzing the relationships between the categories. We need to determine which conclusions logically follow from the given statements, assuming the statements are true even if they contradict common knowledge.
D) Neither I nor II follows.
To find the number of smaller balls that can be made from a larger solid sphere, we need to compare their volumes. The total volume of the material remains constant. Therefore, the number of smaller balls will be the ratio of the volume of the larger sphere to the volume of one smaller ball.
The volume \(V\) of a sphere with radius \(r\) is given by:
\[ V = \frac{4}{3} \pi r^3 \]Given radius of the large sphere, \(R = 4 \text{ cm}\).
Volume of the large sphere, \(V_{\text{large}}\):
\[ V_{\text{large}} = \frac{4}{3} \pi (4 \text{ cm})^3 \] \[ V_{\text{large}} = \frac{4}{3} \pi (64) \text{ cm}^3 \]Given radius of each small ball, \(r = 2 \text{ cm}\).
Volume of one small ball, \(V_{\text{small}}\):
\[ V_{\text{small}} = \frac{4}{3} \pi (2 \text{ cm})^3 \] \[ V_{\text{small}} = \frac{4}{3} \pi (8) \text{ cm}^3 \]The number of small balls (\(N\)) that can be made is the ratio of the volume of the large sphere to the volume of one small ball:
\[ N = \frac{V_{\text{large}}}{V_{\text{small}}} \] \[ N = \frac{\frac{4}{3} \pi (64)}{\frac{4}{3} \pi (8)} \]Cancel out the common terms \(\frac{4}{3} \pi\):
\[ N = \frac{64}{8} \] \[ N = 8 \]Correct Option: C) 8