Which one of the following options is the most closely related to the given figure?
The question requires identifying the option that most closely resembles the given figure. The key is to observe the arrangement and relationship of geometric shapes within the figure.
Correct Option: C) Option C matches the arrangement of a triangle inside a square, both enclosed by a circle, just like the given figure.
60 ÷ {33 × 2 − [29 − (\(\overline{26-31}\))]}
Which Venn diagram correctly depicts the relationship between the following?
(A) Computer
(B) Table
(C) Electronic
To determine the correct Venn diagram, we need to understand the logical relationships between the terms: Computer, Table, and Electronic.
The correct diagram should show 'Computer' as a subset of 'Electronic' and 'Table' as a separate entity.
Correct Option: B) The diagram shows 'Computer' (A) inside 'Electronic' (C), with 'Table' (B) separate, correctly representing the relationships.
We need to calculate the number of cards A received in the first distribution and the second distribution. Then, we will find the difference to determine how many more or fewer cards A got the second time compared to the first.
Correct Option: D) 21 less
If the density of water is 103 kg/m3 and the density of copper is 8.9 × 103 kg/m3, then the relative density of copper will be:
To find the relative density of a substance, we use the formula that defines relative density as the ratio of the density of the substance to the density of a reference substance, which is typically water for solids and liquids. The units of density cancel out, making relative density a dimensionless quantity.
Identify the given densities:
Recall the formula for relative density:
\[ \text{Relative Density} = \frac{\text{Density of substance}}{\text{Density of water}} \]Substitute the given values into the formula:
\[ \text{Relative Density of Copper} = \frac{\rho_{\text{copper}}}{\rho_{\text{water}}} \] \[ \text{Relative Density of Copper} = \frac{8.9 \times 10^3 \, \text{kg/m}^3}{10^3 \, \text{kg/m}^3} \]Perform the calculation:
The \(10^3\) terms in the numerator and denominator cancel out.
\[ \text{Relative Density of Copper} = 8.9 \]Correct Option: D) 8.9
The relative density of copper is 8.9, which is a dimensionless quantity as it is a ratio of two similar quantities.
The question asks to identify the book written by former RBI Governor Raghuram Rajan. This requires knowledge of prominent authors and their works, especially those related to economics, finance, or public policy, which are common topics for competitive exams.
B) I Do What I Do — This book is a collection of speeches and articles by Raghuram Rajan during his tenure as the Governor of the Reserve Bank of India. It offers insights into his views on the Indian economy, financial markets, and global economic issues.
The question asks about the products formed when an acid reacts with a metal oxide. This is a fundamental concept in chemistry, specifically related to the properties of acids and bases. Metal oxides are generally basic in nature. The reaction between an acid and a base is a neutralization reaction.
\[ \text{Acid} + \text{Metal Oxide (Base)} \rightarrow \text{Salt} + \text{Water} \]
For example, hydrochloric acid reacts with magnesium oxide:\[ 2\text{HCl} (\text{aq}) + \text{MgO} (\text{s}) \rightarrow \text{MgCl}_2 (\text{aq}) + \text{H}_2\text{O} (\text{l}) \]
Here, magnesium chloride (\(\text{MgCl}_2\)) is a salt, and \(\text{H}_2\text{O}\) is water.Correct Option: A) When an acid reacts with a metal oxide (which is basic in nature), the products formed are a salt and water. This is a classic example of a neutralization reaction.
The fundamental relationship between the Least Common Multiple (LCM) and the Highest Common Factor (HCF) of two numbers is that their product is equal to the product of the two numbers. We will use this property to find the unknown number.
For any two positive integers, the product of the numbers is equal to the product of their L.C.M. and H.C.F.
\[ \text{Product of two numbers} = \text{L.C.M.} \times \text{H.C.F.} \]To find the other number \( x \), divide the product of L.C.M. and H.C.F. by the given number.
\[ x = \frac{2604 \times 12}{84} \]First, simplify the fraction:
\[ x = \frac{2604 \times 1}{7} \quad (\text{since } 84 \div 12 = 7) \]\[ x = \frac{2604}{7} \]C) 372 is the correct answer. The calculation confirms that the other number is 372.
The question asks about the defining characteristic of isobars. To answer this, we need to recall the definitions of key terms related to atomic structure: atomic number, mass number, protons, neutrons, electrons, and nucleons.
B) Nucleons — Isobars are defined as atoms having the same mass number. The mass number is the sum of protons and neutrons, which are collectively known as nucleons. Therefore, isobars have the same number of nucleons.
This is a syllogism question. We need to evaluate the conclusions based solely on the information provided in the statements, without introducing any outside knowledge. We can use Venn diagrams or logical deduction to determine if the conclusions logically follow.
Since neither conclusion can be logically derived from the given statements, both conclusions are false according to the statements.
Correct Option: D) Neither 1 nor 2 is true according to the statement
