This is a logical deduction problem. We need to match four attributes: paint color (pink, blue, green, tan), manufacturer (Garden, Hartley, Finesse, Indiana), and application type (automobile, marine, doors/interiors, exteriors). We will use the given clues to systematically fill in a table or list of associations.
Let's list the categories and their elements:
From the clues, we can start making direct associations:
Let's consolidate what we know:
| Color | Manufacturer | Application |
|---|---|---|
| Green | Hartley | Not Interiors |
| Blue | Indiana | |
| Pink | Automobile | |
| Finesse | Exterior | |
| Tan |
Now, let's deduce the remaining information:
Let's fill in the table further:
Let's check the applications:
Final associations:
| Color | Manufacturer | Application |
|---|---|---|
| Pink | Garden | Automobile |
| Blue | Indiana | Doors/Interiors |
| Green | Hartley | Marine |
| Tan | Finesse | Exterior |
The question asks: "Which company manufactures the tan paint?"
From our table, Finesse manufactures the tan paint.
B) Finesse manufactures the tan paint, as deduced from the given clues.
The question asks for the full form of GAGAN, a satellite-based navigation system. This requires knowledge of common acronyms related to Indian space technology and navigation systems.
C) GPS Aided Geo Augmented Navigation. GAGAN is an Indian satellite-based augmentation system (SBAS) jointly developed by ISRO (Indian Space Research Organisation) and AAI (Airports Authority of India). It provides improved accuracy and integrity for GPS signals over the Indian region, primarily for civil aviation applications.
To find the labelled rate, we need to reverse the discount calculations. We are given the final sale price after two successive discounts. We will first account for the second discount, then the first discount, to arrive at the original labelled rate.
Understand the discounts: The salesman offers an initial discount of 25% on the labelled rate, and then an additional discount of 20% on the price after the first discount.
Calculate the price before the second discount: Let the price after the first discount be \(P_1\). The second discount is 20% on \(P_1\). So, the final sale price is 80% of \(P_1\).
\[ 0.80 \times P_1 = \text{₹}18,000 \] \[ P_1 = \frac{18,000}{0.80} \] \[ P_1 = \frac{18,000}{\frac{80}{100}} \] \[ P_1 = \frac{18,000 \times 100}{80} \] \[ P_1 = \frac{1,800,000}{80} \] \[ P_1 = \text{₹}22,500 \]So, the price after the first discount was ₹22,500.
Calculate the labelled rate: Let the labelled rate be \(L\). The first discount is 25% on \(L\). So, \(P_1\) is 75% of \(L\).
\[ 0.75 \times L = P_1 \] \[ 0.75 \times L = \text{₹}22,500 \] \[ L = \frac{22,500}{0.75} \] \[ L = \frac{22,500}{\frac{75}{100}} \] \[ L = \frac{22,500 \times 100}{75} \] \[ L = \frac{2,250,000}{75} \] \[ L = \text{₹}30,000 \]Thus, the labelled rate was ₹30,000.
D) ₹30,000 is the correct labelled rate. This is obtained by reversing the two successive discounts from the final sale price.
A) ₹40,000 — This would be incorrect. If the labelled price was ₹40,000, then after a 25% discount, the price would be \(40,000 \times 0.75 = 30,000\). After an additional 20% discount, the final price would be \(30,000 \times 0.80 = 24,000\), which is not ₹18,000.
B) ₹28,000 — This is incorrect. If the labelled price was ₹28,000, then after a 25% discount, the price would be \(28,000 \times 0.75 = 21,000\). After an additional 20% discount, the final price would be \(21,000 \times 0.80 = 16,800\), which is not ₹18,000.
C) ₹35,000 — This is incorrect. If the labelled price was ₹35,000, then after a 25% discount, the price would be \(35,000 \times 0.75 = 26,250\). After an additional 20% discount, the final price would be \(26,250 \times 0.80 = 21,000\), which is not ₹18,000.
The question asks to identify which of the given options is NOT an eligibility criterion for the appointment of a State Governor in India. We need to recall the constitutional provisions related to the Governor's qualifications.
D) He or she must have qualified for elections as a member of the Rajya Sabha. This is NOT an eligibility criterion for a State Governor. The qualifications for a Governor are citizenship and age (35 years). There is no requirement for a Governor to be qualified for election to either House of Parliament (Lok Sabha or Rajya Sabha) or a State Legislature.
To find the least perfect square exactly divisible by a set of numbers, we first find the Least Common Multiple (LCM) of those numbers. Then, we analyze the prime factorization of the LCM to identify any prime factors that appear an odd number of times. To make the LCM a perfect square, we multiply it by the minimum factors required to make all prime exponents even.
Correct Option: D) 19600
The question asks for the capital of the state where the city, awarded as the cleanest city for three consecutive years (2017-2019), is located. This requires identifying the cleanest city first, then its state, and finally the capital of that state.
B) Bhopal is the capital of Madhya Pradesh, the state where Indore (the cleanest city from 2017-2019) is located.
The question asks to identify which option is NOT a classification of Public Sector Undertakings (PSUs). We need to examine each option and determine if it represents a recognized category within the PSU framework in India.
Correct Option: A) State Private Sector Enterprises (SPSEs) is not a classification of Public Sector Undertakings. The term itself is contradictory, as PSUs are government-owned, while private sector enterprises are privately owned.
To find the Highest Common Factor (H.C.F) of a set of numbers, we can use the prime factorization method. This involves finding the prime factors of each number and then multiplying the common prime factors, each raised to the lowest power it appears in any of the factorizations.
Correct Option: B) 36
The problem involves finding the total weight of a mixture given the ratio of its components and the weight of one component. We will use the given ratio to find the proportionality constant and then calculate the weight of the other component and the total mixture.
Understand the given ratio: The ratio of gold to silver is given as \(8 : 12\). This can be simplified by dividing both numbers by their greatest common divisor, which is 4.
\[ \text{Ratio of Gold} : \text{Ratio of Silver} = 8 : 12 = 2 : 3 \]Represent the weights using a common factor: Let the common factor be \(x\). Then, the weight of gold can be represented as \(2x\) kg and the weight of silver as \(3x\) kg.
Use the given weight of gold to find the common factor: We are given that 30 kg of gold is consumed. So, we can set up the equation:
\[ 2x = 30 \text{ kg} \]Solve for \(x\):
\[ x = \frac{30}{2} = 15 \]Calculate the weight of silver: Using the value of \(x\), the weight of silver is:
\[ \text{Weight of Silver} = 3x = 3 \times 15 = 45 \text{ kg} \]Calculate the total weight of the melted mixture: The total weight of the mixture is the sum of the weight of gold and the weight of silver.
\[ \text{Total Weight} = \text{Weight of Gold} + \text{Weight of Silver} \] \[ \text{Total Weight} = 30 \text{ kg} + 45 \text{ kg} = 75 \text{ kg} \]Alternatively, the total ratio parts are \(2 + 3 = 5\). Since 2 parts correspond to 30 kg, 1 part corresponds to \(30/2 = 15\) kg. Therefore, 5 parts correspond to \(5 \times 15 = 75\) kg.
Correct Option: A) 75 kg
The question asks to identify the longest-serving Chief Minister of an Indian state from the given options. This requires knowledge of the tenures of prominent Chief Ministers in India's history.
Correct Option: D) Pawan Kumar Chamling served as the Chief Minister of Sikkim for 24 years and 165 days, making him the longest-serving Chief Minister of an Indian state.