The question asks to identify a halogen from the given options. This requires knowledge of the periodic table and the classification of elements into groups, specifically the halogen group.
Correct Option: C) Chlorine is a halogen. Halogens are highly reactive non-metals that readily form salts with metals. They are found in Group 17 of the periodic table.
To find the product of the mean, median, and mode of a given series, we need to calculate each of these statistical measures individually first. The series is 3, 10, 4, 3, 5.
Correct Option: B) 60
The question asks to identify the project aimed at the operational turnaround of banks and stressed companies. This refers to initiatives taken by the Indian government or banking sector to address the issue of Non-Performing Assets (NPAs) and improve the health of financial institutions and struggling businesses.
B) Project Sashakt was a committee-recommended framework (Sunil Mehta Committee) designed to address the problem of Non-Performing Assets (NPAs) in the Indian banking system. Its objective was to facilitate the resolution of stressed assets, thereby ensuring the operational turnaround of banks and the revival of stressed companies through various mechanisms like asset management companies and inter-creditor agreements.
To solve this problem, we need to follow the order of operations, often remembered by the acronym PEMDAS/BODMAS (Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
A) 0.89 is the correct answer, obtained by following the order of operations (BODMAS/PEMDAS).
To find the next term in a number series, we need to identify the pattern or the rule governing the sequence. This usually involves looking at the differences between consecutive terms, ratios, or other mathematical operations.
C) 44 is the correct answer because the pattern of differences between consecutive terms is an increasing sequence of natural numbers (3, 4, 5, ...). Adding the next difference (6) to the last term (38) gives 44.
The question asks to identify the first chairman of the Goods and Services Tax (GST) Council. The GST Council is a key governing body for GST in India, and its chairman is typically the Union Finance Minister.
Correct Option: C) Arun Jaitley was the Union Finance Minister when the GST Council was constituted and GST was implemented, making him its first chairman.
The resistance of a conductor depends on its material, length, and cross-sectional area. We need to recall the formula for resistance to determine its direct proportionality.
Correct Option: C) Length — The formula for resistance \(R = \rho \frac{L}{A}\) clearly shows that resistance is directly proportional to the length \(L\) of the wire, assuming resistivity \(\rho\) and cross-sectional area \(A\) are constant.
To find the magnitude of the force exerted on the object, we need to first calculate its acceleration. We can do this using the equations of motion, specifically the formula relating initial velocity, final velocity, and time. Once the acceleration is found, Newton's second law of motion (\(F = ma\)) can be applied to determine the force.
Using the first equation of motion:
\[ v = u + at \]\[ 17 \text{ ms}^{-1} = 5 \text{ ms}^{-1} + a \times 6 \text{ s} \]\[ 17 - 5 = 6a \]\[ 12 = 6a \]\[ a = \frac{12}{6} \]\[ a = 2 \text{ ms}^{-2} \]Using Newton's second law of motion:
\[ F = ma \]\[ F = 100 \text{ kg} \times 2 \text{ ms}^{-2} \]\[ F = 200 \text{ N} \]D) 200 N — The calculated force is 200 N, which is the standard unit for force.
To solve this problem, we need to follow the order of operations, often remembered by the acronym BODMAS/PEMDAS. This means we perform operations in the following order: Brackets (Parentheses), Orders (Exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
First, evaluate the innermost bracket: \( (79 - 54 \div 9 \times 6) \).
Inside this bracket, we perform division and multiplication from left to right.
Division: \( 54 \div 9 = 6 \)
Now the expression becomes: \( (79 - 6 \times 6) \)
Multiplication: \( 6 \times 6 = 36 \)
Now the expression becomes: \( (79 - 36) \)
Subtraction: \( 79 - 36 = 43 \)
So, the original expression becomes: \( 75 \div \{35 - [63 - 43]\} \)
Next, evaluate the square bracket: \( [63 - 43] \).
Subtraction: \( 63 - 43 = 20 \)
So, the expression becomes: \( 75 \div \{35 - 20\} \)
Next, evaluate the curly bracket: \( \{35 - 20\} \).
Subtraction: \( 35 - 20 = 15 \)
So, the expression becomes: \( 75 \div 15 \)
Finally, perform the division:
Division: \( 75 \div 15 = 5 \)
B) The final result of the calculation is 5.
A) 3 — This would be obtained if the final division was \( 75 \div 25 \), which is incorrect. A common mistake could be miscalculating one of the bracketed terms.
C) 25 — This would be obtained if the final division was \( 75 \div 3 \), which is incorrect. Errors in applying the order of operations, especially with multiplication/division before subtraction, could lead to this.
D) 15 — This is the value of the expression inside the curly braces \( \{35 - 20\} \), but it is not the final answer as the division \( 75 \div 15 \) still needs to be performed.
Vimal is the son of Mikka, and Nisa is the daughter of Milan. Milan is the sister of Mikka. Who is Milan to Vimal?
This is a blood relation question. We need to establish the relationships between the individuals mentioned and then determine Milan's relationship to Vimal. We can use a family tree approach or simply trace the relationships step-by-step.
Since Milan is the sister of Mikka, and Mikka is Vimal's parent, Milan is Vimal's parent's sister.
A parent's sister is an Aunt.
Therefore, Milan is Vimal's Aunt.
Correct Option: B) Aunt