The question asks about the primary mineral resource for which the Hasdeo Valley in Chhattisgarh is known. This requires knowledge of the geographical distribution of mineral resources in India.
Correct Option: D) coal — The Hasdeo Valley in Chhattisgarh is famously known for its vast reserves of coal. It is a critical coal-mining region in India, leading to significant environmental concerns due to extensive mining activities.
To find the speed of the train, we need to calculate the total distance covered and the time taken. The number of telephone posts observed allows us to determine the number of intervals between them, which, when multiplied by the distance between posts, gives the total distance. The time is given, and then we convert the speed to the required units (km/h).
C) The calculated speed of the train is 60 km/h, which matches this option.
The question asks to identify the first Indian native ruler who accepted the Subsidiary Alliance system. This requires knowledge of the historical timeline of the implementation of the Subsidiary Alliance by the British in India and which states entered into it first.
Correct Option: A) The Nizam of Hyderabad was the first Indian native ruler to accept the Subsidiary Alliance in 1798, immediately after its introduction by Lord Wellesley.
Select the option that is related to the third term in the same way as the second term is related to the first term.
Dog : Pup :: Man : ?
This is an analogy question where we need to find the relationship between the first pair of words and apply the same relationship to the third word to find the fourth word. The relationship between "Dog" and "Pup" is that a "Pup" is the young one of a "Dog". We need to find the young one of "Man".
Correct Option: B) Child
The question asks to identify an organization that exemplifies an agreement between oligopolists. An oligopoly is a market structure where a few large firms dominate the market. An agreement between oligopolists, often called a cartel, aims to restrict competition and control prices or output. We need to evaluate the given options based on this definition.
A) OPEC — The Organization of the Petroleum Exporting Countries (OPEC) is a classic example of an agreement between oligopolists. Its member countries, which are major oil producers, collectively decide on oil production quotas to influence global oil prices. This behavior is characteristic of a cartel, where a few dominant players in an industry cooperate to maximize their collective profits by controlling supply and price.
To determine which mixture has a greater concentration of syrup, we need to calculate the concentration of syrup in each mixture. Concentration is defined as the amount of solute (syrup) divided by the total volume of the mixture (syrup + water).
In Mixture A, there is 5 L of syrup and 6 L of water.
\[ \text{Total Volume of A} = \text{Volume of Syrup} + \text{Volume of Water} \]\[ \text{Total Volume of A} = 5 \text{ L} + 6 \text{ L} = 11 \text{ L} \]Concentration is the ratio of the volume of syrup to the total volume of the mixture.
\[ \text{Concentration of Syrup in A} = \frac{\text{Volume of Syrup}}{\text{Total Volume of A}} \]\[ \text{Concentration of Syrup in A} = \frac{5 \text{ L}}{11 \text{ L}} \approx 0.4545 \]In Mixture B, there is 3.5 L of syrup and 5.5 L of water.
\[ \text{Total Volume of B} = \text{Volume of Syrup} + \text{Volume of Water} \]\[ \text{Total Volume of B} = 3.5 \text{ L} + 5.5 \text{ L} = 9 \text{ L} \]Concentration of syrup in A \(\approx 0.4545\)
Concentration of syrup in B \(\approx 0.3889\)
Since \(0.4545 > 0.3889\), the concentration of syrup is greater in Mixture A.
Correct Option: D) A
To cut rods of the same length from different pieces without any waste, the length of the cut rod must be a common divisor of all the original lengths. To find the maximum possible length, we need to find the Highest Common Factor (HCF) or Greatest Common Divisor (GCD) of the given lengths.
D) 11 cm is the HCF of 44, 22, and 55. This means rods of 11 cm can be cut from all three pieces without any waste, and it is the maximum possible length.
The problem asks us to distribute a total sum of money among three sons based on given percentages. We need to calculate the exact amount each son inherits by finding the respective percentage of the total sum for each.
Correct Option: D) ₹75,000, ₹1,12,500 and ₹62,500
To determine the nature of the number \( 119^2 - 111^2 \), we can use the algebraic identity \( a^2 - b^2 = (a - b)(a + b) \). After calculating the value, we will check its properties against the definitions of square number, perfect number, prime number, and composite number.
We have the expression \( 119^2 - 111^2 \). This is in the form \( a^2 - b^2 \), where \( a = 119 \) and \( b = 111 \).
Using the identity \( a^2 - b^2 = (a - b)(a + b) \):
\[ 119^2 - 111^2 = (119 - 111)(119 + 111) \]Now we need to classify the number 1840.
Correct Option: D) Composite number
The question asks about a significant merger in the Indian banking sector. To answer this, one needs to recall recent major bank mergers initiated by the Indian government.
Correct Option: D) Bank of Baroda. Vijaya Bank and Dena Bank were merged with Bank of Baroda, effective April 1, 2019. This was part of the government's strategy to create stronger and larger banks.