The problem involves calculating the population of a town after successive percentage increases over two decades. We will use the formula for compound growth to find the final population.
Correct Option: B) 2,98,512
The question asks to identify the Windows OS component responsible for modifying system settings like display resolution, sound preferences, and user accounts. We need to evaluate each option based on its primary function within the Windows operating system.
The Control Panel is a fundamental component of Microsoft Windows that provides the ability to view and change system settings. It consists of a collection of applets, including those for adding or removing hardware and software, controlling user accounts, changing accessibility options, and accessing networking settings. Display resolution and sound preferences are also managed through the Control Panel or its modern counterpart, the Settings app, which often links back to Control Panel functionalities.
Correct Option: C) Control Panel is the correct answer because it is the central hub in Windows for managing and configuring system settings, including display, sound, and user accounts.
The question asks for the specific period when the Nagara Uprising, a significant peasant rebellion in the Mysore Kingdom's Nagar province, occurred. This requires knowledge of historical peasant revolts in India, particularly during the British colonial period or preceding it.
Correct Option: D) 1830-31. The Nagara Uprising, also known as the Nagar Rebellion, was a widespread peasant revolt that occurred in the Nagar province of the Mysore Kingdom (present-day Shivamogga district) between 1830 and 1831. It was primarily a reaction to the heavy land revenue demands and the corrupt administration under the then-ruler Krishnaraja Wodeyar III, who was under British suzerainty. The rebellion was eventually suppressed by the British, leading to the direct British administration of Mysore for a period.
The question asks for the keyboard shortcut to quickly save an MS PowerPoint presentation. This is a common shortcut across many applications, including Microsoft Office suite programs like Word, Excel, and PowerPoint.
Correct Option: A) Ctrl + S is the standard keyboard shortcut used to save the current document or presentation in most applications, including MS PowerPoint. Pressing this combination will either save the changes to an already saved file or open the 'Save As' dialog box if the file is being saved for the first time.
This problem involves arranging seven friends in a row based on given conditions. We will deduce the positions of each person step-by-step, starting with the most restrictive conditions, and then determine the number of people between G and F.
Total people and direction: Seven friends (E, F, G, H, I, J, Q) are sitting in a row facing North. This means left is our left and right is our right.
Condition 1: Only three people sit to the left of Q.
This implies Q is the fourth person from the left end of the row. Let's represent the positions as slots:
_ _ _ Q _ _ _
Condition 2: Only H sits to the right of E.
This means E is the second person from the right end, and H is the person at the extreme right end. There are no other people to the right of H.
_ _ _ _ _ E H
Combine conditions 1 and 2: We have 7 positions. Q is 4th from left, E is 2nd from right, and H is 1st from right.
_ _ _ Q _ E H
Condition 3: Only three people sit between E and J.
Since E is in the 6th position (from the left), and there are three people between E and J, J must be to the left of E. Counting three places to the left of E (positions 5, 4, 3), J must be in the 2nd position.
_ J _ Q _ E H
Fill in the known positions:
_ J _ Q _ E H
Now we know:
Condition 4: I sits at some place to the left of F but at some place to the right of G.
This means the order of these three friends is G, I, F. The remaining friends are G, I, F. The empty slots are positions 1, 3, and 5.
So, G must be in position 1, I in position 3, and F in position 5.
G J I Q F E H
Final arrangement: The complete arrangement from left to right is G, J, I, Q, F, E, H.
Answer the question: How many people sit between G and F?
Looking at the final arrangement: G, J, I, Q, F, E, H.
The people between G and F are J, I, and Q.
There are three people between G and F.
B) Three
A) Two — This would be incorrect as there are three people (J, I, Q) between G and F.
C) Four — This would be incorrect as there are only three people between G and F.
D) One — This would be incorrect as there are three people between G and F.
To simplify the given expression, we need to follow the order of operations, commonly known as BODMAS/PEMDAS. This acronym stands for Brackets/Parentheses, Orders/Exponents, Division, Multiplication, Addition, and Subtraction. We perform operations in this specific order from left to right.
\(285 - 6 \times (23 + 19) + 83\)
First, calculate the sum inside the parentheses:
\[ 23 + 19 = 42 \]The expression now becomes:
\[ 285 - 6 \times 42 + 83 \]Next, perform the multiplication:
\[ 6 \times 42 = 252 \]The expression now becomes:
\[ 285 - 252 + 83 \]First, perform the subtraction:
\[ 285 - 252 = 33 \]The expression becomes:
\[ 33 + 83 = 116 \]Thus, the simplified value of the expression is 116.
D) 116 — The step-by-step application of the BODMAS/PEMDAS rule leads to the value 116.
The question asks to identify the Indian state that hosted an Olympic-style school sports event in November 2024, involving Indian schools from Gulf countries. This is a current affairs question requiring knowledge of recent events related to sports and international collaborations.
D) Kerala — Kerala indeed hosted the first-ever 'Kerala Schools Kalolsavam' in November 2024. This event was designed as an Olympic-style school sports festival and notably included participation from Indian schools located in Gulf countries. This initiative aimed to foster sports talent and cultural exchange among students.
The question asks about a key advantage of the parliamentary system in ensuring smooth governance. We need to evaluate each option based on the fundamental principles and characteristics of a parliamentary democracy.
D) It ensures harmony and cooperation between the legislature and the executive. This is a defining feature and a significant advantage of the parliamentary system. The executive is part of the legislature, leading to better coordination and reduced friction in policy-making and implementation, which contributes to smooth governance.
To find the greatest number that divides two given numbers leaving specific remainders, we first subtract the remainders from the respective numbers. The problem then reduces to finding the HCF (Highest Common Factor) of the resulting numbers. This HCF will be the greatest number that divides the original numbers with the specified remainders.
The first number is 247, and it leaves a remainder of 3. So, the number perfectly divisible by the required greatest number would be:
\[ 247 - 3 = 244 \]The second number is 189, and it leaves a remainder of 6. So, the number perfectly divisible by the required greatest number would be:
\[ 189 - 6 = 183 \]Now, we need to find the HCF of 244 and 183. We can use the prime factorization method or the Euclidean algorithm.
Using prime factorization:
The common prime factor is 61.
Therefore, the HCF of 244 and 183 is 61.
The conditions are satisfied.
C) 61 is the greatest number that divides 247 and 189 leaving remainders 3 and 6 respectively.
This problem involves calculating the combined work rate of multiple taps (some filling, some emptying) to determine the time required to fill a fraction of a cistern. We will calculate the individual rates of filling and emptying, then find the net rate when all taps are open. Finally, we will use this net rate to find the time to fill two-thirds of the cistern.
Calculate the filling rate of the first tap:
The first tap fills the cistern in 3 hours. So, in 1 hour, it fills:
Calculate the filling rate of the second tap:
The second tap fills the cistern in 36 hours. So, in 1 hour, it fills:
Calculate the emptying rate of the third tap:
The third tap empties the cistern in 4 hours. So, in 1 hour, it empties:
Calculate the net filling rate when all three taps are open:
The net rate is the sum of the filling rates minus the emptying rate:
To add and subtract these fractions, find a common denominator, which is 36:
\[ \text{Net Rate} = \frac{12}{36} + \frac{1}{36} - \frac{9}{36} \]\[ \text{Net Rate} = \frac{12 + 1 - 9}{36} \]\[ \text{Net Rate} = \frac{13 - 9}{36} \]\[ \text{Net Rate} = \frac{4}{36} \]\[ \text{Net Rate} = \frac{1}{9} \text{ of the cistern per hour} \]Calculate the time to fill the entire cistern:
If the net rate is \(\frac{1}{9}\) of the cistern per hour, then the time to fill the entire cistern is the reciprocal of this rate:
Calculate the time to fill two-thirds of the cistern:
We need to fill two-thirds (\(\frac{2}{3}\)) of the cistern. So, multiply the time to fill the full cistern by \(\frac{2}{3}\):
C) 6 is the correct answer. It will take 6 hours to fill two-thirds of the empty cistern when all taps are opened together.