To find the missing number in the series, we need to identify the pattern or the common difference between consecutive terms. We will calculate the difference between each adjacent pair of numbers to determine if there is an arithmetic progression or another type of sequence.
Correct Option: D) 54
We need to find the cost price (CP) of the water cooler. We are given the selling price after a discount and the profit percentage if no discount is allowed. We will first find the marked price (MP) using the discounted selling price. Then, we will use the profit percentage (when no discount is allowed, MP becomes SP) to find the cost price.
Calculate the Marked Price (MP):
Let the Marked Price be \(MP\). The discount allowed is 64%.
This means the selling price (SP) after discount is \( (100 - 64)\% \) of the MP, which is \( 36\% \) of the MP.
Given, the value of the water cooler after discount is ₹6,480.
\[ 0.36 \times MP = 6480 \] \[ MP = \frac{6480}{0.36} \] \[ MP = \frac{6480 \times 100}{36} \] \[ MP = 180 \times 100 \] \[ MP = \text{₹}18,000 \]Calculate the Cost Price (CP):
If no discount is allowed, the selling price (SP) is equal to the Marked Price (MP).
So, in this scenario, \(SP = MP = \text{₹}18,000\).
The shopkeeper gains 20% if no discount is allowed. This means the selling price is \( 120\% \) of the Cost Price (CP).
\[ SP = CP \times \left(1 + \frac{\text{Profit Percentage}}{100}\right) \] \[ 18000 = CP \times \left(1 + \frac{20}{100}\right) \] \[ 18000 = CP \times \left(1 + 0.20\right) \] \[ 18000 = CP \times 1.20 \] \[ CP = \frac{18000}{1.20} \] \[ CP = \frac{18000 \times 10}{12} \] \[ CP = \frac{180000}{12} \] \[ CP = \text{₹}15,000 \]Correct Option: A) 15,000
The question asks for the primary objective of the NPS Vatsalya scheme launched in 2024. To answer this, one needs to know the specific details and target beneficiaries of this particular scheme.
A) To offer a savings-cum-pension plan exclusively for minors. This option accurately describes the primary objective of the NPS Vatsalya scheme, which is to enable parents/guardians to start a pension savings account for their children from a young age.
The question asks for the range of composite scores achieved by Union Territories (UTs) in the SDG India Index 2023-24. To answer this, one needs to recall or refer to the specific data from the SDG India Index report for 2023-24, focusing on the scores of Union Territories.
D) 65 to 77. This option correctly represents the lowest (65) and highest (77) composite scores achieved by Union Territories in the SDG India Index 2023-24.
To find the ratio of expenditure, we need to understand that expenditure is the product of the market price and the quantity consumed. We are given the ratios of market prices and quantities consumed for jowar and gram. We will multiply the corresponding ratio terms to find the ratio of their expenditures.
Let the market price of jowar be \(P_J\) and the market price of gram be \(P_G\). The given ratio of their market prices is:
\[ \frac{P_J}{P_G} = \frac{2}{5} \]Let the quantity of jowar consumed be \(Q_J\) and the quantity of gram consumed be \(Q_G\). The given ratio of their quantities consumed is:
\[ \frac{Q_J}{Q_G} = \frac{4}{7} \]Expenditure for jowar (\(E_J\)) is \(P_J \times Q_J\).
Expenditure for gram (\(E_G\)) is \(P_G \times Q_G\).
We need to find the ratio of expenditure of jowar and gram, which is \(\frac{E_J}{E_G}\).
\[ \frac{E_J}{E_G} = \frac{P_J \times Q_J}{P_G \times Q_G} \]We can rewrite this as:
\[ \frac{E_J}{E_G} = \left(\frac{P_J}{P_G}\right) \times \left(\frac{Q_J}{Q_G}\right) \]Substitute the given ratios into the equation:
\[ \frac{E_J}{E_G} = \frac{2}{5} \times \frac{4}{7} \]Multiply the numerators and the denominators:
\[ \frac{E_J}{E_G} = \frac{2 \times 4}{5 \times 7} = \frac{8}{35} \]Thus, the ratio of expenditure of jowar and gram is 8 : 35.
Correct Option: C) 8 : 35
The question asks about the monetary policy stance adopted by the Reserve Bank of India (RBI) in April 2025, specifically in response to global economic uncertainties. To answer this, one needs to understand the different monetary policy stances and their implications, especially in a context of uncertainty.
The question asks for the percentage increase in cement production in FY24 due to the government's infrastructure push. This type of question requires specific factual knowledge about economic indicators or recent government reports. Without a provided source or context, one must rely on general knowledge of current economic trends in India.
D) 7% — Various economic reports and government statements confirm that cement production in India recorded an increase of approximately 7% in FY24, primarily driven by the strong push in infrastructure development by the government.
The question asks to identify the ruler who appointed a superintendent (Shahna-i-Mandi) for the effective implementation of market reforms. This requires knowledge of the administrative and economic policies of prominent rulers during the Delhi Sultanate period.
Correct Option: C) Alauddin Khilji appointed a superintendent (Shahna-i-Mandi) as part of his extensive market reforms. These reforms were aimed at controlling prices of essential commodities, ensuring a steady supply, and preventing hoarding, primarily to maintain a large and inexpensive army.
The problem asks us to identify a set of numbers that follows the same mathematical relationship as the given sets: (19, 354, 7) and (9, 73, 8). We need to find a pattern involving the three numbers in each set, where operations are performed on whole numbers, not their constituent digits.
Let the numbers be \(A = 19\), \(B = 354\), and \(C = 7\).
We need to find a relationship between \(A\), \(B\), and \(C\). Let's try operations involving \(A\) and \(C\) to get \(B\).
Consider the operation: \(A^2 - C^2\).
\[ 19^2 - 7^2 = 361 - 49 = 312 \]This is not 354.
Consider the operation: \(A^2 + C^2\).
\[ 19^2 + 7^2 = 361 + 49 = 410 \]This is not 354.
Consider the operation: \(A^2 - C\).
\[ 19^2 - 7 = 361 - 7 = 354 \]This matches the middle number \(B\). So, the pattern could be \(A^2 - C = B\).
Let \(A = 9\), \(B = 73\), and \(C = 8\).
Using the pattern \(A^2 - C = B\):
\[ 9^2 - 8 = 81 - 8 = 73 \]This also matches the middle number \(B\). The pattern \(A^2 - C = B\) is consistent for both given sets.
D) (3, −10, 19)
Let \(A = 3\), \(B = -10\), \(C = 19\).
Applying the pattern \(A^2 - C = B\):
\[ 3^2 - 19 = 9 - 19 = -10 \]This matches the middle number \(B\). Therefore, option D follows the same relationship.
In this question, a group of numbers is coded by using letters and symbols as per the table given below and the conditions which follow.
| Number | 7 | 8 | 2 | 3 | 4 | 5 | 6 | 1 |
| Code | Z | Q | * | @ | % | $ | T | J |
Conditions:
1. If the 1st and 2nd digits are even, both are to be coded as 'A'.
2. If the 1st and last digits are odd, both are to be coded as the code for the 1st digit.
3. If the 3rd and 4th digits are even, their codes are to be interchanged.
What is the correct combination of codes (by following only the applicable condition(s)) for the following?
71628
The problem requires us to code a given number sequence (71628) based on a provided coding table and a set of conditions. We need to apply the conditions sequentially and only if they are applicable.
C) Z J * T Q