The question asks for the total number of medals won by India at the World Para Athletics Grand Prix 2025. This requires recalling specific factual information about the event's outcome.
Correct Option: C) 134
India achieved a remarkable performance at the World Para Athletics Grand Prix 2025, securing a total of 134 medals. This included 51 gold, 42 silver, and 41 bronze medals, showcasing the country's growing prowess in para-athletics.
To find the profit percentage, we first need to calculate the cost price (CP) and the selling price (SP). We are given the marked price (MP) and its relation to the cost price, as well as the discount percentage on the marked price. We will use these to find CP, then SP, and finally the profit percentage.
The marked price is ₹7,725, which is 25% above the cost price. This means:
\[ \text{MP} = \text{CP} + 25\% \text{ of CP} \]\[ \text{MP} = \text{CP} \left(1 + \frac{25}{100}\right) \]\[ \text{MP} = \text{CP} \left(\frac{125}{100}\right) \]Given \(\text{MP} = \text{₹}7,725\), we can find CP:
\[ 7725 = \text{CP} \times \frac{125}{100} \]\[ \text{CP} = 7725 \times \frac{100}{125} \]\[ \text{CP} = 7725 \times \frac{4}{5} \]\[ \text{CP} = 1545 \times 4 \]\[ \text{CP} = \text{₹}6180 \]The desk is sold at a discount of 4% on the marked price.
\[ \text{Discount} = 4\% \text{ of MP} \]\[ \text{Discount} = \frac{4}{100} \times 7725 \]\[ \text{Discount} = 4 \times 77.25 \]\[ \text{Discount} = \text{₹}309 \]Now, calculate the selling price:
\[ \text{SP} = \text{MP} - \text{Discount} \]\[ \text{SP} = 7725 - 309 \]\[ \text{SP} = \text{₹}7416 \]Profit is the difference between SP and CP.
\[ \text{Profit} = \text{SP} - \text{CP} \]\[ \text{Profit} = 7416 - 6180 \]\[ \text{Profit} = \text{₹}1236 \]Now, calculate the profit percentage:
\[ \text{Profit Percentage} = \frac{\text{Profit}}{\text{CP}} \times 100 \% \]\[ \text{Profit Percentage} = \frac{1236}{6180} \times 100 \% \]\[ \text{Profit Percentage} = 0.2 \times 100 \% \]\[ \text{Profit Percentage} = 20\% \]C) 20% is the calculated profit percentage.
This problem involves relative speed. We can determine the distance covered by the first cab in the interval between the two cabs' departures. This distance is then covered by the second cab and the man approaching in the opposite direction in a shorter interval due to their relative speeds. By equating the distances, we can find the man's speed.
Let the speed of the cabs be \(S_c = 74 \text{ km/hr}\).
The interval between the departure of two cabs is \(T_c = 28 \text{ minutes}\). Convert this to hours:
\[ T_c = \frac{28}{60} \text{ hours} \]The distance covered by the first cab in 28 minutes, before the second cab starts, is:
\[ D = S_c \times T_c = 74 \times \frac{28}{60} \text{ km} \]Let the speed of the man be \(S_m \text{ km/hr}\).
The man meets the cabs at an interval of \(T_m = 10 \text{ minutes}\). Convert this to hours:
\[ T_m = \frac{10}{60} \text{ hours} \]When the man meets the first cab, the second cab is still behind. The distance \(D\) (which is the distance between the first and second cab at the moment the second cab starts) is covered by the second cab and the man moving towards each other. The relative speed of the cab and the man is \(S_c + S_m\).
The time taken for the man and the second cab to cover this distance \(D\) (relative to each other) is the interval at which the man meets the cabs, which is \(T_m\).
So, we can write the equation:
\[ D = (S_c + S_m) \times T_m \]Substitute the expressions for \(D\), \(S_c\), \(T_c\), and \(T_m\):
\[ 74 \times \frac{28}{60} = (74 + S_m) \times \frac{10}{60} \]Multiply both sides by 60 to simplify:
\[ 74 \times 28 = (74 + S_m) \times 10 \]Calculate the left side:
\[ 2072 = (74 + S_m) \times 10 \]Divide by 10:
\[ 207.2 = 74 + S_m \]Solve for \(S_m\):
\[ S_m = 207.2 - 74 \]\[ S_m = 133.2 \text{ km/hr} \]B) 133.2 km/hr is the calculated speed of the man.
The problem presents a number series, and we need to find the pattern to determine the next number. We will analyze the differences between consecutive terms to identify a consistent rule or a combination of rules.
Write down the given series: 37, 55, 66, 84, 95, 113, ?
Calculate the differences between consecutive terms:
Observe the pattern of the differences. The differences alternate between \(18\) and \(11\). The pattern is \(+18, +11, +18, +11, +18, \dots\).
Following this pattern, the next difference should be \(+11\).
Add \(11\) to the last given term in the series to find the missing number:
\[ 113 + 11 = 124 \]Thus, the next number in the series is 124.
D) 124 is the correct answer because it follows the established alternating pattern of adding 18 and 11 to consecutive terms.
The problem uses a direct letter-to-digit coding scheme. We need to identify the code for the letter 'V' by comparing the given coded words and their corresponding numerical codes.
The question asks about the primary function of the Central Processing Unit (CPU) in a computer system. To answer this, we need to understand the core role of the CPU among the various components of a computer.
Correct Option: B) Execute instructions and process data
The CPU's primary role is to interpret and execute program instructions and process the data involved in those instructions. This makes it the central component for computation and control within a computer system.
The question asks to identify the princely ruler who was known for patronising the Sikh community and its institutions. This requires knowledge of the history of Indian princely states and their relationship with various religious communities, particularly the Sikhs.
Correct Option: A) Bhupinder Singh of Patiala was a prominent Sikh Maharaja who ruled the princely state of Patiala, a Sikh-majority region. He was a devout Sikh and a significant patron of Sikh religious, educational, and cultural institutions. His contributions included funding for gurdwaras, educational initiatives, and the promotion of Sikh arts and literature.
The question asks for the total length of the Mahanadi river. This is a factual question related to Indian geography. To answer this, one needs to recall or know the geographical data pertaining to major Indian rivers.
Correct Option: D) 851 km
To find Atul's total savings in a year, we first need to calculate his monthly savings. Then, we account for the month when he spent all his savings on his birthday celebration. Finally, we sum up the savings for the remaining 11 months.
Atul's monthly expenses include house rent and bills.
\[ \text{Total Monthly Expenses} = \text{House Rent} + \text{Bills} \] \[ \text{Total Monthly Expenses} = \text{₹}6,000 + \text{₹}2,500 = \text{₹}8,500 \]Monthly savings are the salary minus the total monthly expenses.
\[ \text{Monthly Savings} = \text{Monthly Salary} - \text{Total Monthly Expenses} \] \[ \text{Monthly Savings} = \text{₹}10,000 - \text{₹}8,500 = \text{₹}1,500 \]In one month (his birthday month), he spent all his savings. So, he saved for 11 months.
\[ \text{Savings for 11 months} = \text{Monthly Savings} \times 11 \] \[ \text{Savings for 11 months} = \text{₹}1,500 \times 11 = \text{₹}16,500 \]Since he spent all his savings in his birthday month, his savings for that month are ₹0. Therefore, his total savings in a year are the savings from the other 11 months.
\[ \text{Total Annual Savings} = \text{Savings for 11 months} + \text{Savings in Birthday Month} \] \[ \text{Total Annual Savings} = \text{₹}16,500 + \text{₹}0 = \text{₹}16,500 \]Correct Option: B) 16,500
The problem presents a relationship between letter-clusters and asks us to find the missing clusters based on the established pattern. We need to analyze the positional values of the letters in the given pair (TXB : %) and the options to deduce the rule for both forward and reverse transformations.
Let's check the relationship between BPJ and FLN.
The pattern for the first pair is \((+4, -4, +4)\).
Now let's apply this pattern in reverse to find # from FLN, or apply it forward to find % from TXB.
Finding # from FLN:
So, if FLN is the second cluster, the first cluster # would be BPJ. This matches the first part of option A.
Finding % from TXB:
So, % would be XTF. This matches the second part of option A.
Since both parts of Option A fit the derived pattern \((+4, -4, +4)\) when moving from the first cluster to the second, Option A is the correct choice.
A) # = BPJ, % = XTF is the correct option. The pattern observed is that the second letter cluster is derived from the first by adding 4 to the positional value of the first letter, subtracting 4 from the positional value of the second letter, and adding 4 to the positional value of the third letter. This can be represented as \((+4, -4, +4)\).