This is a logical reasoning question based on statements and conclusions. We need to determine which conclusion logically follows from the given statements without making any assumptions beyond the information provided.
Correct Option: D) Neither I nor II follows.
At what time did India gain independence on 15th August 1947?
The question asks for the specific time of day when India officially gained independence on August 15, 1947. This is a historical fact related to the transfer of power from British rule.
Correct Option: C) Midnight
A train having a length of 500 m passes through a tunnel of 1000 m in 1 minute. What is the speed of the train in km/hr?
To find the speed of the train, we need to calculate the total distance covered by the train to completely pass through the tunnel and the time taken. The total distance will be the sum of the train's length and the tunnel's length. Then, we convert the units to km/hr.
When a train passes through a tunnel, the total distance it covers is the sum of its own length and the length of the tunnel.
\[ \text{Total Distance} = \text{Length of Train} + \text{Length of Tunnel} \]\[ \text{Total Distance} = 500 \text{ m} + 1000 \text{ m} = 1500 \text{ m} \]The time given is 1 minute. We need to convert this to seconds for consistency with meters.
\[ \text{Time} = 1 \text{ minute} = 60 \text{ seconds} \]Speed is calculated as Distance divided by Time.
\[ \text{Speed} = \frac{\text{Total Distance}}{\text{Time}} \]\[ \text{Speed} = \frac{1500 \text{ m}}{60 \text{ s}} = 25 \text{ m/s} \]To convert speed from meters per second (m/s) to kilometers per hour (km/hr), we multiply by a conversion factor of \(\frac{18}{5}\) (since \(1 \text{ km} = 1000 \text{ m}\) and \(1 \text{ hour} = 3600 \text{ s}\), so \[1 \text{ m/s} = \frac{1/1000 \text{ km}}{1/3600 \text{ hr}} = \frac{3600}{1000} \text{ km/hr} = \frac{18}{5} \text{ km/hr}\]).
\[ \text{Speed in km/hr} = 25 \text{ m/s} \times \frac{18}{5} \]\[ \text{Speed in km/hr} = 5 \times 18 = 90 \text{ km/hr} \]B) 90 km/hr is the correct speed of the train.
The question asks for the specific scientific field or art that deals with the design and acceleration of projectiles to achieve a desired performance. We need to identify the term that accurately describes this discipline.
Correct Option: A) Ballistics is the science or art of designing and accelerating projectiles so as to achieve a desired performance. It encompasses the study of projectile motion, forces acting on them, and their trajectories.
The question asks to find the common similarity among the given words: Orange, Peach, Olive, and Chrome. We need to evaluate each word for its primary associations and then check the provided options.
Correct Option: C) All of them are colours.
The question asks for the full form of the acronym WLAN. This is a common term in computer networking and technology. We need to identify the correct expansion from the given options.
Correct Option: A) Wireless Local Area Network is the correct full form of WLAN. It refers to a network that allows devices to connect and communicate wirelessly within a limited area, typically using Wi-Fi technology.
The question asks for the meaning of "Bicameral Legislature". This is a fundamental concept in political science and governance, particularly relevant to understanding the structure of legislative bodies in many countries, including India.
C) Legislators are divided into 2 separate assemblies
This option accurately describes a bicameral legislature, which is characterized by having two distinct legislative houses or chambers. For example, the Indian Parliament is bicameral, consisting of the Lok Sabha (House of the People) and the Rajya Sabha (Council of States).
The problem presents a series of two-letter combinations and asks to identify the missing term. We need to analyze the pattern in the given sequence of letters.
The series is HG, IJ, LK, MN, ?
Let's look at the first letters: H, I, L, M.
This pattern ( +1, +3, +1, ... ) suggests that the next jump should be +3. So, from M, the next first letter would be M + 3 = P.
Now let's look at the second letters: G, J, K, N.
This pattern ( +3, +1, +3, ... ) suggests that the next jump should be +1. So, from N, the next second letter would be N + 1 = O.
Based on the patterns, the missing pair should be PO.
Consider the pairs as a whole and their positions in the alphabet:
Notice that the pairs alternate between (letter, previous letter) and (letter, next letter).
The sequence of first letters is H, I, L, M. The difference between the first letters alternates: H to I is +1, I to L is +3, L to M is +1. So the next first letter should be M + 3 = P.
The type of pair also alternates: \((N, N-1)\), \((N, N+1)\), \((N, N-1)\), \((N, N+1)\). Therefore, the next pair should be of the form \((N, N-1)\).
Since the first letter is P, the second letter should be P - 1 = O.
Thus, the missing pair is PO.
B) PO is the correct answer because it follows the established alternating patterns for both the first and second letters, or the alternating pattern of pair structure and the first letter progression.
The problem asks us to identify which list of items will definitely NOT be found in the shop, based on the given inventory criteria. We need to check each item in every option against the shop's rules for shampoo, chocolates, dry fruits, and milk packets.
All items in Option A are acceptable. So, this list could be found in the shop.
All items in Option B are acceptable. So, this list could be found in the shop.
Since Dry fruit Z does not meet the criteria, this list will definitely NOT be found in the shop.
All items in Option D are acceptable. So, this list could be found in the shop.
Option C contains Dry fruit Z priced at Rs.100 per 100 gram. The shop's criteria for dry fruits is "priced more than Rs.125 per 100 grams". Since Rs.100 is not greater than Rs.125, this item does not meet the shop's inventory criteria. Therefore, this list will definitely NOT be found in the shop.
The question asks to identify the most abundant combustible natural gas among the given options. This requires knowledge of the composition of natural gas and the relative abundance of its components.
B) Methane — Methane (\(CH_4\)) is the simplest hydrocarbon and the primary component of natural gas, typically making up 70-90% of its volume. Its high abundance and combustibility make it the most abundant combustible natural gas.