The question asks for the venue of the final match of the Indian Premier League (IPL) 2022. This requires knowledge of major sporting events and their locations, which is a common topic in general awareness sections of competitive exams.
C) Narendra Modi Stadium, Ahmedabad. The final match of the Indian Premier League (IPL) 2022 was indeed held at the Narendra Modi Stadium in Ahmedabad, Gujarat. The home team, Gujarat Titans, won the trophy in their debut season.
All 24 students of a class are standing in a straight row facing north. Neha is 8th from the right end, while Abhishek is 20th from the left end. How many students are standing between Neha and Abhishek?
To find the number of students between Neha and Abhishek, we need to determine their positions from a common reference point (either left or right end) and then calculate the difference. We will convert Neha's position from the right end to her position from the left end, and then use both positions from the left end to find the number of students between them.
Total number of students: There are 24 students in the class.
Neha's position from the right end: Neha is 8th from the right end.
Convert Neha's position to be from the left end:
The formula to convert position from one end to the other is:
\[ \text{Position from left} = (\text{Total students} - \text{Position from right}) + 1 \]
For Neha:
\[ \text{Neha's position from left} = (24 - 8) + 1 = 16 + 1 = 17^{\text{th}} \]
So, Neha is 17th from the left end.
Abhishek's position from the left end: Abhishek is 20th from the left end.
Calculate the number of students between Neha and Abhishek:
Since both positions are now from the left end, we can find the number of students between them using the formula:
\[ \text{Students between} = (\text{Larger position} - \text{Smaller position}) - 1 \]
Here, Abhishek's position is 20th and Neha's position is 17th from the left.
\[ \text{Students between} = (20 - 17) - 1 \]
\[ \text{Students between} = 3 - 1 = 2 \]
Therefore, there are 2 students standing between Neha and Abhishek.
D) 2 is the correct answer. There are 2 students between Neha and Abhishek.
A) 4 — This would be the result if one incorrectly calculated Neha's position or made an error in subtraction. For example, if Neha's position from the left was mistakenly calculated as 15th, then \((20-15)-1 = 4\).
B) 1 — This would happen if the calculation for students between them was \((20-17)-2\) or \((20-18)-1\) if Neha's position was miscalculated as 18th.
C) 3 — This would be the result if the positions were simply subtracted without accounting for the fact that the two individuals themselves are not 'between' each other (i.e., \(20-17 = 3\)). The formula requires subtracting 1 from the difference of positions to exclude the individuals themselves.
To solve this problem, we need to apply the BODMAS/PEMDAS rule (Brackets/Parentheses, Orders/Exponents, Division, Multiplication, Addition, Subtraction) to evaluate the given expression. Since we need the closest approximate value, we can round the decimal numbers to their nearest whole numbers before performing the calculations.
The equation becomes:
\[ 5 \times 4 + 2 \times 5 - 10 \div 2 + 1 = ? \]The equation becomes:
\[ 5 \times 4 + 2 \times 5 - 5 + 1 = ? \]The equation becomes:
\[ 20 + 10 - 5 + 1 = ? \]Correct Option: B) 26
The problem presents a series of number pairs and asks us to find the missing number in the last pair based on the relationship observed in the previous pairs. We need to identify a consistent mathematical operation or pattern that relates the first number to the second number in each given pair.
D) 30. The pattern is that the second number in each pair is \(\frac{5}{4}\) times the first number. Applying this to 24, we get \(24 \times \frac{5}{4} = 6 \times 5 = 30\).
The question asks for the state where the historic place 'Chauri Chaura' is located. This requires knowledge of Indian history and geography, specifically the location of significant historical events.
Correct Option: D) Uttar Pradesh is the correct answer because the historic Chauri Chaura incident occurred in Chauri Chaura, a town in the Gorakhpur district of Uttar Pradesh.
The question asks about the most developed industry along the Hooghly river. This requires knowledge of the major industrial belts and their geographical distribution in India, specifically focusing on West Bengal.
A) Jute Industry — The Hooghly river banks are famously associated with the concentration of jute mills due to the availability of raw materials, water, cheap labor, and port facilities for export.
To find the average of a set of numbers, we need to sum all the numbers and then divide by the count of the numbers. In this case, the numbers are squares of consecutive integers.
The given numbers are \(3^2, 4^2, 5^2, 6^2\), and \(7^2\).
Add all the squared values together:
\[ \text{Sum} = 9 + 16 + 25 + 36 + 49 \]\[ \text{Sum} = 135 \]There are 5 numbers in the set: \(3^2, 4^2, 5^2, 6^2, 7^2\).
The average is the sum of the numbers divided by the count of the numbers.
\[ \text{Average} = \frac{\text{Sum}}{\text{Count}} \]\[ \text{Average} = \frac{135}{5} \]\[ \text{Average} = 27 \]Thus, the average of \(3^2, 4^2, 5^2, 6^2\), and \(7^2\) is 27.
B) 27 is the correct average calculated from the sum of the squares divided by the count of numbers.
To simplify the given expression, we must follow the order of operations, often remembered by the acronym BODMAS/PEMDAS. This order is: Brackets/Parentheses, Orders/Exponents, Division and Multiplication (from left to right), and Addition and Subtraction (from left to right).
Thus, the simplified value of the expression is 167.
B) 167 is the correct answer, obtained by following the BODMAS/PEMDAS rule.
This question tests the fundamental relationship between potential difference and current in a conductor, as described by Ohm's Law. Understanding this law is crucial for analyzing electrical circuits.
D) current increases — As per Ohm's Law, \(I = V/R\). If the potential difference (\(V\)) increases and the resistance (\(R\)) remains constant (due to constant temperature), the current (\(I\)) must increase proportionally.
The question asks about the location of the ozone hole. This is a well-known environmental phenomenon, and its primary location is a key piece of information in environmental science and geography.
Correct Option: C) Over Antarctica — The most significant and well-documented ozone hole forms annually over Antarctica during the spring season.