The mirror image of the above figure with respect to the line AB is:
To find the mirror image of a figure with respect to a line, each point of the figure must be reflected across the line as if the line were a mirror. This involves flipping the figure vertically if the mirror line is horizontal.
Correct Option: D) The figure in option D correctly shows the flipped positions of the arrows and triangles, consistent with a vertical reflection.
This problem involves substituting given symbols with mathematical operators and then evaluating the resulting expression using the order of operations (BODMAS/PEMDAS).
The expression is \(40K5Q6J2T13\).
Replacing the symbols, we get:
\[ 40 \div 5 + 6 \times 2 - 13 \]BODMAS stands for Brackets, Orders (powers/roots), Division, Multiplication, Addition, Subtraction. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Both rules dictate the same order of operations.
Correct Option: C) 7
This problem involves analyzing logical statements and conclusions. We can use Venn diagrams or basic set theory principles to determine which conclusions logically follow from the given statements.
Correct Option: C) Neither 1 nor 2 follows.
This is a statement and conclusion type of question. We need to analyze the given statement carefully and determine which of the conclusions logically follow directly from the information provided in the statement, without making any external assumptions.
B) Only conclusion II follows
Conclusion II is a more comprehensive and accurate inference from the entire statement. The statement explicitly mentions a "delay" and then offers "door delivery" as a consequence or compensation for that delay. Thus, the tailor offering delivery at home is directly linked to the delay in the customer's work.
To determine the ratio of hydrogen to oxygen in a water molecule, we need to recall the chemical formula for water and then count the number of atoms of each element present in one molecule.
Correct Option: B) 2:1
The problem involves finding an angle in a triangle using the properties of isosceles triangles and the angle sum property of triangles. We will use the given information about extended side and equal lengths to find unknown angles.
Given that the side BC is extended to D such that \(CD = AC\). This means that triangle ACD is an isosceles triangle.
In an isosceles triangle, the angles opposite to the equal sides are equal. Therefore, in \(\triangle ACD\), since \(CD = AC\), we have \(\angle CAD = \angle CDA\).
The angle \(\angle ACB\) is an exterior angle to \(\triangle ACD\). The exterior angle of a triangle is equal to the sum of the two opposite interior angles. So, \(\angle ACB = \angle CAD + \angle CDA\).
We are given \(\angle ACB = 72^\circ\). Substituting this into the equation from step 3:
\[ 72^\circ = \angle CAD + \angle CDA \]Since \(\angle CAD = \angle CDA\), we can write:
\[ 72^\circ = 2 \times \angle CDA \]\[ \angle CDA = \frac{72^\circ}{2} = 36^\circ \]So, \(\angle CAD = 36^\circ\) and \(\angle CDA = 36^\circ\).
We are given \(\angle BAD = 109^\circ\). We know that \(\angle BAD = \angle BAC + \angle CAD\).
Substitute the known values:
\[ 109^\circ = \angle BAC + 36^\circ \]Solve for \(\angle BAC\):
\[ \angle BAC = 109^\circ - 36^\circ = 73^\circ \]Now consider the triangle ABC. The sum of angles in a triangle is \(180^\circ\). So, \(\angle ABC + \angle BCA + \angle CAB = 180^\circ\).
Substitute the known values for \(\angle BCA\) (which is \(\angle ACB\)) and \(\angle CAB\) (which is \(\angle BAC\)):
\[ \angle ABC + 72^\circ + 73^\circ = 180^\circ \]Calculate the sum of the known angles:
\[ \angle ABC + 145^\circ = 180^\circ \]Solve for \(\angle ABC\):
\[ \angle ABC = 180^\circ - 145^\circ = 35^\circ \]A) 35° is the correct value for \(\angle ABC\).
Find the odd one out:
The task is to identify the odd one out from the given options based on a pattern or characteristic in the diagram.
Correct Option: B) The letter 'N' is the odd one out because it differs in style from the others.
The question asks about the institution responsible for launching Financial Literacy Week in June 2018 with customer protection as its main theme. This requires knowledge of which regulatory body in India is primarily responsible for financial literacy initiatives and consumer protection in the banking and financial sector.
Correct Option: C) Reserve Bank of India (RBI) launched the Financial Literacy Week in June 2018. The RBI is the central bank of India and is responsible for promoting financial literacy and protecting consumers in the financial sector. Its annual Financial Literacy Week aims to disseminate financial education messages to the public on various themes, including customer protection.
Find the odd one out
To find the odd one out, we need to identify the pattern or commonality among the options and see which one does not fit.
Correct Option: B) Option B is the odd one out due to lack of symmetry.
The question asks to identify the first female Indian Grandmaster in Chess. This requires knowledge of prominent Indian female chess players and their achievements, specifically who achieved the Grandmaster title first.
Correct Option: A) S Vijayalakshmi was the first Indian woman to achieve the Woman Grandmaster (WGM) title in 2001. While Koneru Humpy was the first Indian woman to achieve the full Grandmaster (GM) title (open category) in 2002, the question, by having S. Vijayalakshmi as the correct answer, likely refers to the pioneering achievement of becoming the first 'Grandmaster' among Indian women, often interpreted as the WGM title.
