The question asks to identify which of the given taxes are NOT collected by the Union Government. This requires knowledge of the distribution of taxation powers between the Union (Central) and State Governments in India, as outlined in the Seventh Schedule of the Constitution.
Correct Option: C) Profession tax and stamp duty
Walking at \( \frac{5}{6} \) of her usual speed Anita took 2 minutes more than usual to reach the bus terminus. How long does Anita usually take to reach the terminus?
This problem involves the relationship between speed, distance, and time. When distance is constant, speed and time are inversely proportional. We are given the new speed as a fraction of the usual speed and the difference in time taken. We can set up equations based on this relationship to find the usual time.
Let \(D\) be the distance to the bus terminus, \(S\) be Anita's usual speed, and \(T\) be the usual time taken.
The relationship between distance, speed, and time is given by:
\[ D = S \times T \]When Anita walks at \(\frac{5}{6}\) of her usual speed, her new speed \(S'\) is:
\[ S' = \frac{5}{6} S \]She takes 2 minutes more than usual. So, the new time taken \(T'\) is:
\[ T' = T + 2 \text{ minutes} \]Since the distance \(D\) remains constant, we can write the equation for the new situation:
\[ D = S' \times T' \]Substitute the expressions for \(S'\) and \(T'\) into the equation:
\[ D = \left(\frac{5}{6} S\right) \times (T + 2) \]We know that \(D = S \times T\). So, we can equate the two expressions for \(D\):
\[ S \times T = \frac{5}{6} S \times (T + 2) \]Divide both sides by \(S\) (assuming \(S \neq 0\)):
\[ T = \frac{5}{6} (T + 2) \]Now, solve for \(T\):
\[ 6T = 5(T + 2) \]\[ 6T = 5T + 10 \]\[ 6T - 5T = 10 \]\[ T = 10 \text{ minutes} \]Thus, Anita usually takes 10 minutes to reach the terminus.
C) 10 minutes
A boy read \( \frac{3}{8} \) of a book on one day and \( \frac{4}{5} \) of the remainder on another day. If there were 30 pages unread, how many pages did the book contain?
We need to find the total number of pages in the book. We are given the fraction of pages read on the first day, the fraction of the remainder read on the second day, and the number of unread pages. We will work backward from the unread pages to find the total pages.
Let the total number of pages in the book be \(x\).
On the first day, the boy read \( \frac{3}{8} \) of the book. So, pages read on day 1 = \( \frac{3}{8}x \).
The remainder after the first day is \( x - \frac{3}{8}x \).
\[ \text{Remainder} = x \left(1 - \frac{3}{8}\right) = x \left(\frac{8-3}{8}\right) = \frac{5}{8}x \]
On the second day, the boy read \( \frac{4}{5} \) of the remainder. So, pages read on day 2 = \[\frac{4}{5} \times \left(\frac{5}{8}x\right)\].
\[ \text{Pages read on day 2} = \frac{4}{5} \times \frac{5}{8}x = \frac{4}{8}x = \frac{1}{2}x \]
The total pages read are the sum of pages read on day 1 and day 2.
\[ \text{Total pages read} = \frac{3}{8}x + \frac{1}{2}x = \frac{3}{8}x + \frac{4}{8}x = \frac{7}{8}x \]
The number of unread pages is given as 30. This is the difference between the total pages and the total pages read.
\[ \text{Unread pages} = x - \frac{7}{8}x = \frac{1}{8}x \]
We are given that the unread pages are 30. So, we can set up the equation:
\[ \frac{1}{8}x = 30 \]
Solve for \(x\):
\[ x = 30 \times 8 = 240 \]
Thus, the book contained 240 pages.
D) 240
To find out when the bells will toll together again, we need to find the least common multiple (LCM) of their individual tolling intervals. Once we have the LCM, we can determine how many times they toll together within the given time shift.
Correct Option: B) 31 times
This is a blood relation problem that requires careful deduction based on the statements made by X and O. We need to construct a family tree or relationship diagram based on the given information to determine how R is related to X.
Since R is one of O's two nephews, and X is also one of O's nephews, R must be X's brother.
B) Brother — Based on the deductions, R is one of O's two nephews, and X is also one of O's two nephews. Since X has only one brother and no daughter, X and his brother are the two nephews of O. Therefore, R is X's brother.
This is a syllogism problem. We will use Venn diagrams to represent the statements and then check which conclusions logically follow from these diagrams.
Correct Option: B) Conclusion 3 follows
The question asks to identify the incorrectly matched pair among the given options, which consist of a historical/religious site and its corresponding state in India. We need to check the geographical location of each site.
Correct Option: C) Kedarnath – Gujarat is incorrectly matched because Kedarnath is located in Uttarakhand, not Gujarat.
The question asks for the definition of "Nomophobia". This is a term related to modern psychological phenomena, specifically phobias associated with technology. Understanding the etymology and common usage of the term is key to identifying the correct option.
Correct Option: A) Nomophobia is defined as the fear of being out of cellular phone contact. This includes the anxiety experienced when one is without their mobile phone, loses signal, runs out of battery, or cannot access the internet/communication services on their device.
The question asks for the location of the Orang Tiger Reserve in India. This is a factual question related to Indian geography and wildlife conservation. To answer this, one needs to recall the states where prominent tiger reserves are located.
D) Assam. The Orang Tiger Reserve is indeed located in the state of Assam, India. It is known for its rich biodiversity, including the Royal Bengal Tiger, Indian rhinoceros, pygmy hog, and wild water buffalo.
The question asks about the founder of the city of Agra. This is a factual question related to Indian history, specifically the Delhi Sultanate period. We need to identify the ruler responsible for establishing the city.
Correct Option: C) Sikander Lodhi founded the city of Agra in 1504 and later made it his capital in 1506. He was a significant ruler of the Lodhi dynasty, known for his administrative reforms and expansion of the empire.