The question asks to identify a forest-dwelling tribe in Uttarakhand known for seasonal migration and forest-based cattle herding. This requires knowledge of the specific characteristics and geographical distribution of various tribal communities in India, particularly those in the Himalayan region.
Correct Option: D) Van Gujjar
The problem describes a pattern relating two letters and a number to another set of two letters and a number. We need to identify this pattern and apply it to the given input "PQ 16" to find the correct option.
The question asks to identify the specific department established by Muhammad Tughlaq for agricultural development. This requires knowledge of the administrative reforms and departments introduced by Delhi Sultanate rulers, particularly Muhammad Tughlaq.
Muhammad Tughlaq, known for his experimental and often controversial policies, indeed established a special department to improve agricultural output. This department was called Diwan-i-Kohi.
Muhammad Tughlaq established the department of Diwan-i-Kohi (also known as Diwan-i-Amir Kohi). This department was specifically created to bring uncultivated land under cultivation and to provide financial assistance (sondhar) to peasants for agricultural development. It aimed to improve the agricultural economy of the Sultanate.
The problem involves two parallel lines intersected by a transversal line. We need to use the properties of angles formed when a transversal intersects parallel lines, specifically the relationship between consecutive interior angles (also known as allied angles or co-interior angles).
Correct Option: B) \(102^\circ\)
The problem describes a trapezium (a quadrilateral with one pair of parallel sides) and asks for the length of the line segment connecting the midpoints of its diagonals. This is a standard property of trapeziums. The lengths of the non-parallel sides (BC and AD) are extraneous information not needed to solve the problem.
C) 38 cm is the correct length of EF, calculated using the property of a trapezium.
Walking at \( \frac{4}{5} \) of his normal speed, Vishal is 25 minutes late in reaching his office. The usual time taken by him to cover the distance between his home and his office is:
This problem involves the relationship between speed, distance, and time. When distance is constant, speed is inversely proportional to time. We can set up an equation relating the normal speed and time to the reduced speed and increased time to find the usual time.
Let \(S\) be Vishal's normal speed and \(T\) be his usual time to reach the office. Let \(D\) be the distance between his home and office.
The relationship between speed, distance, and time is given by:
\[ D = S \times T \]When Vishal walks at \(\frac{4}{5}\) of his normal speed, his new speed \(S'\) is:
\[ S' = \frac{4}{5} S \]He is 25 minutes late, so his new time \(T'\) is:
\[ T' = T + 25 \]Since the distance \(D\) remains the same, we can equate the distance covered in both scenarios:
\[ S \times T = S' \times T' \]Substitute the expressions for \(S'\) and \(T'\) into the equation:
\[ S \times T = \left(\frac{4}{5} S\right) \times (T + 25) \]We can cancel \(S\) from both sides (assuming \(S \neq 0\)):
\[ T = \frac{4}{5} (T + 25) \]Now, solve for \(T\):
\[ 5T = 4(T + 25) \]\[ 5T = 4T + 100 \]\[ 5T - 4T = 100 \]\[ T = 100 \]So, the usual time taken by him is 100 minutes.
A) 100 minutes is the correct answer, as calculated above.
The problem provides information about a person's spending percentage and monthly savings. We need to find their monthly expenses. We can determine the percentage of income saved and then use the given savings amount to calculate the total monthly income. Once the total income is known, we can find the expenses by subtracting savings from income or by calculating the spending percentage of the total income.
If a person spends 75% of their monthly income, the remaining percentage is saved.
\[ \text{Savings Percentage} = 100\% - \text{Spending Percentage} \]\[ \text{Savings Percentage} = 100\% - 75\% = 25\% \]We know that 25% of the monthly income is equal to the savings of ₹5,538.
Let the total monthly income be \(I\).
\[ 0.25 \times I = 5538 \]\[ I = \frac{5538}{0.25} \]\[ I = 5538 \times 4 \]\[ I = 22152 \]Monthly expenses can be calculated in two ways:
Method 1: Using the spending percentage
\[ \text{Expenses} = \text{Spending Percentage} \times \text{Total Income} \]\[ \text{Expenses} = 0.75 \times 22152 \]\[ \text{Expenses} = 16614 \]Method 2: Subtracting savings from income
\[ \text{Expenses} = \text{Total Income} - \text{Savings} \]\[ \text{Expenses} = 22152 - 5538 \]\[ \text{Expenses} = 16614 \]Thus, the monthly expenses are ₹16,614.
D) 16,614 is the correct monthly expense calculated based on the given spending percentage and savings.
The question asks for Nishchay's achievement in the boys' shot put event at the Asian U-18 Athletics Championship 2025. This requires specific knowledge of the event's results. We need to identify the correct medal and the corresponding throw distance.
C) Silver medal with a throw of \(19.59\) metres
The problem describes a coding pattern based on the English alphabetical order. We need to identify the relationship between the given pairs of letter sequences and then apply the same logic to find the corresponding sequence for "AEWB".
Let's find the position of each letter in the alphabet (A=1, B=2, ... Z=26).
The pattern for the first pair is (+5, -3, +5, -3).
Let's apply the same logic to the second pair to confirm the pattern.
The pattern is consistently (+5, -3, +5, -3).
Now, we apply the confirmed pattern (+5, -3, +5, -3) to the sequence AEWB.
So, AEWB is related to FBBY.
D) FBBY is the sequence derived by applying the (+5, -3, +5, -3) pattern to AEWB.