The question asks about Mahatma Gandhi's specific visit to Noakhali in 1946. This requires knowledge of key events in Indian history, particularly the period leading up to India's partition and independence.
Correct Option: C) To promote communal harmony after religious violence
The question asks to identify a specific darts tournament held at a particular venue and date. This requires knowledge of the Professional Darts Corporation (PDC) European Tour schedule, specifically events held in Germany.
C) International Darts Open — The International Darts Open (IDO) is a regular fixture on the PDC European Tour and is consistently held at the SACHSENarena in Riesa, Germany, usually in the early part of the year, often in April. The specified dates and venue match this tournament.
To solve this problem, we need to first identify the highest and lowest numbers from the given set. Then, we extract the first digit of the highest number and the second digit of the lowest number. Finally, we add these two digits to find the resultant value.
Correct Option: C) 18
The problem asks us to identify the letter-cluster pair that does not follow the same pattern as the others, based on the English alphabetical order. We need to find a consistent rule or relationship between the letters in each pair and then identify the option that deviates from this rule.
A) LK - KJ — In this pair, the difference in alphabetical position between the first letters (L and K) is \(12 - 11 = 1\), and between the second letters (K and J) is \(11 - 10 = 1\). This is different from the pattern observed in options B, C, and D, where the difference is 5.
This problem involves calculating the final displacement from the starting point after a series of movements in different directions. We can solve this by breaking down the movements into their north-south and east-west components and then finding the net displacement. Visualizing the path or drawing a diagram can be very helpful.
B) 1 km to the east. To return to the starting point A from point P \((-1,0)\), Mukesh must travel 1 km in the positive x-direction (east).
This problem involves determining the final position relative to the starting point after a series of movements and turns. We can solve this by breaking down the movements into their North-South and East-West components. We will track the displacement in each direction from the starting point (Point A).
B) 2 km to the west. From Point P, Radhe is 2 km to the East of Point A. Therefore, to return to Point A, he must drive 2 km to the West.
This problem involves concepts of relative speed and distance. When a train overtakes a person walking in the same direction, the relative speed is the difference between the train's speed and the person's speed. The distance covered by the train to overtake the person is equal to the length of the train. We will set up two equations based on the given information and solve for the train's speed and length.
First, convert the speeds of the persons from km/hr to m/s, as the time is given in seconds.
When a train overtakes a person, the distance covered is the length of the train, and the relative speed is the difference between the train's speed and the person's speed (since they are moving in the same direction).
For the first person:
\[ L = (V_T - S_1) \times T_1 \]\[ L = (V_T - 3.5) \times 12.5 \quad \ldots(1) \]For the second person:
\[ L = (V_T - S_2) \times T_2 \]\[ L = (V_T - 7.5) \times 14 \quad \ldots(2) \]Equate (1) and (2) since the length of the train \(L\) is the same:
\[ (V_T - 3.5) \times 12.5 = (V_T - 7.5) \times 14 \]\[ 12.5 V_T - 12.5 \times 3.5 = 14 V_T - 14 \times 7.5 \]\[ 12.5 V_T - 43.75 = 14 V_T - 105 \]Rearrange the terms to solve for \(V_T\):
\[ 14 V_T - 12.5 V_T = 105 - 43.75 \]\[ 1.5 V_T = 61.25 \]\[ V_T = \frac{61.25}{1.5} \]\[ V_T = \frac{6125}{150} = \frac{1225}{30} = \frac{245}{6} \text{ m/s} \]The options are in km/hr, so convert \(V_T\) back to km/hr.
\[ V_T = \frac{245}{6} \times \frac{18}{5} \]\[ V_T = 245 \times \frac{3}{5} \]\[ V_T = 49 \times 3 \]\[ V_T = 147 \text{ km/hr} \]B) 147 km/hr
The question asks to identify the specific Act that marked the transfer of governance from the East India Company to the British Crown. This is a direct historical fact related to the constitutional development of India under British rule.
Correct Option: D) The Government of India Act, 1858, was enacted shortly after the Indian Rebellion of 1857. This Act abolished the East India Company, transferred its powers of governance over India to the British Crown, and established direct rule by the British Parliament. The Governor-General of India was redesignated as the Viceroy of India, directly representing the Crown.
This problem involves analyzing statements and conclusions based on the principles of syllogism. We need to determine which conclusions logically follow from the given statements, assuming the statements are true. Venn diagrams or logical deduction can be used to solve such problems.
Let's analyze each statement and conclusion:
Statements:
Conclusion (I): Some keys are doors.
Conclusion (II): All doors are cupboards.
D) Only conclusion (I) follows.