The question asks about the extended term of the Chief Economic Adviser, V. Anantha Nageswaran. This is a factual question requiring knowledge of recent government appointments and extensions.
Correct Option: A) March 2027
V. Anantha Nageswaran's term as the Chief Economic Adviser was extended until March 2027. He was initially appointed in January 2022 for a period of three years, or until further orders. The extension ensures his continued service in this crucial role.
The question asks to identify the incorrect statement regarding main group elements. We need to evaluate each option based on the characteristics and periodic trends of these elements.
Based on the evaluation, statement A is incorrect.
Correct Option: A) Their reactivity does not follow any periodic trend. This statement is incorrect because the reactivity of main group elements, like many other properties, exhibits clear and predictable periodic trends across periods and down groups in the periodic table. For example, metallic character and reactivity increase down a group for s-block elements, while non-metallic character and reactivity decrease down a group for p-block non-metals.
Simplify: [(24 × 6) × {2 ÷ 2 × (18 - \( \frac{12}{2} \))}]
To simplify the given expression, 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), and Addition and Subtraction (from left to right).
First, simplify the innermost bracket: \( (18 - \frac{12}{2}) \).
\[ \frac{12}{2} = 6 \]\[ 18 - 6 = 12 \]Substitute this value back into the expression:
\[ [ (24 \times 6) \times \{ 2 \div 2 \times (12) \} ] \]Next, simplify the curly braces: \( \{ 2 \div 2 \times 12 \} \). According to BODMAS, division and multiplication are performed from left to right.
\[ 2 \div 2 = 1 \]\[ 1 \times 12 = 12 \]Substitute this value back into the expression:
\[ [ (24 \times 6) \times 12 ] \]Now, simplify the first part of the square bracket: \( (24 \times 6) \).
\[ 24 \times 6 = 144 \]Finally, perform the last multiplication:
\[ 144 \times 12 \]\[ 144 \times 12 = 1728 \]Thus, the simplified value of the expression is 1728.
D) 1728 — The step-by-step application of the BODMAS rule leads to 1728.
The question asks about the Supreme Court's judgment in 'The State Of Tamil Nadu vs The Governor Of Tamil Nadu' case. We need to evaluate each statement based on the actual pronouncements and implications of this landmark judgment.
C) Only 1 and 2 are correct. Statements 1 and 2 accurately reflect the Supreme Court's pronouncements in the 'State Of Tamil Nadu vs The Governor Of Tamil Nadu' case.
This is a circular seating arrangement problem. We need to deduce the positions of seven people (A, B, C, D, R, S, T) sitting around a circular table facing the centre based on the given clues. We will use a step-by-step method to place each person and then answer the final question.
If we place T at position 1, then counting one person to the left of T means moving clockwise. So, D would be at position 3. (T _ D)
This means there are two people between R and S when counting from R's right. (R _ _ S)
This means there are two people between A and C when counting from A's left. (A _ _ C)
Combining this with Clue 3, we get the sequence: A _ C S. Since S is immediately right of C, and C is third to the left of A, we have A _ _ C S. This implies the two empty spots between A and C are filled by other people, and then S is next to C.
In our arrangement, C is at position 4 and B is at position 6. Their neighbours are D (pos 3), S (pos 5) for C, and S (pos 5), A (pos 7) for B. B and C are not immediate neighbours. This confirms our arrangement.
Our arrangement is T, R, D, C, S, B, A (clockwise). Let's list the positions starting from B and moving to the right (clockwise): B, A, T. The people between B and T are A. So, there is 1 person.
Wait, the question asks to count from the right of B. From the right of B, we go B -> A -> T. So, A is one person between B and T. This means 1 person. Let me re-read the question carefully. "How many people sit between B and T when counted from the right of B?"
Let's re-draw the circular arrangement for clarity:
A\ /T\ /R
\ / \ /
B D
\ /
S
|
CCounting from the right of B (clockwise): B -> A -> T. The people between B and T are A. So, 1 person.
Let's re-evaluate the initial placement of D and T. "Only one person sits between D and T when counted from the left of T." Left of T means anti-clockwise. So, T _ D. If T is at 1, then the person to its left is at 7, and D is at 6. (T A B C S D R). Let's try this alternative.
Alternative Arrangement:
Starting from B and moving to the right (clockwise): B -> A -> D -> R -> T. The people between B and T are A, D, R. There are 3 people.
C) Three
The final arrangement (clockwise) is T, C, S, B, A, D, R. Counting from the right of B (clockwise), the people between B and T are A, D, and R. There are 3 people.
The problem requires us to substitute the given operators with their interchanged counterparts in the given equation and then evaluate the expression using the BODMAS/PEMDAS rule.
Correct Option: A) 39
The question asks about a specific major event that led The Washington Post to win the 2025 Pulitzer for Breaking News Reporting. This requires knowledge of recent Pulitzer Prize announcements and the events they recognized.
B) Donald Trump assassination attempt — The Washington Post won the 2025 Pulitzer Prize for Breaking News Reporting for its comprehensive and immediate coverage of the assassination attempt on Donald Trump.
The question asks to identify the type of town that Kanpur, a city in Uttar Pradesh, represents. This requires knowledge of the primary economic and functional characteristics of Kanpur.
Kanpur is renowned for its industrial base, particularly its textile and leather industries. It has a long history as a manufacturing hub, making it a classic example of an industrial town.
To find the largest number, we first need to determine the actual values of the three numbers. We are given their ratio and their average. We can use the average to find the sum of the numbers, and then use the ratio to find the individual numbers.
Understand the ratio: The three numbers are in the ratio 4 : 5 : 6. Let the numbers be \(4x\), \(5x\), and \(6x\) for some common multiplier \(x\).
Calculate the sum of the numbers: The average of three numbers is given by the sum of the numbers divided by 3. We are given that the average is 40.
So, \[ \text{Average} = \frac{\text{Sum of numbers}}{\text{Number of numbers}} \] \[ 40 = \frac{4x + 5x + 6x}{3} \] \[ 40 = \frac{15x}{3} \] \[ 40 = 5x \]
Find the value of \(x\): From the equation \(40 = 5x\), we can find \(x\):
\[ x = \frac{40}{5} \] \[ x = 8 \]
Calculate the actual numbers: Now substitute the value of \(x\) back into the expressions for the numbers:
Identify the largest number: Comparing the three numbers (32, 40, 48), the largest number is 48.
Correct Option: C) 48 is the largest number among 32, 40, and 48.
To solve this problem, we need to first identify the odd and even digits in the given number. Then, we apply the specified operations (add 1 to odd digits, subtract 2 from even digits) to form a new number. Finally, we locate the digits that are second from the left and second from the right in the new number and calculate their sum.
B) 8 — The sum of the digit second from the left (6) and the digit second from the right (2) in the new number is \(6 + 2 = 8\).