The question asks to identify the 'Father of Computers'. This is a historical fact related to the development of computing technology. We need to recall the key figures associated with the early conceptualization and design of mechanical computers.
Correct Option: C) Charles Babbage is widely recognized as the 'Father of Computers' due to his groundbreaking designs for the Difference Engine and the Analytical Engine, which laid the theoretical foundation for modern digital computers.
We are given the total weekly pay for two employees, X and Y, and a relationship between their individual pays. We need to find the weekly pay of employee Y. We can set up algebraic equations based on the given information and solve for Y's pay.
D) ₹200
The question asks to identify the country of origin of the Nobel Prize-winning author Gabriel Garcia Marquez, who passed away in 2014. This is a general knowledge question related to famous personalities and their nationalities.
Correct Option: C) Colombia
The question asks to identify the sport with which the Durand Cup is associated. This is a general knowledge question about sports tournaments.
Correct Option: B) Football. The Durand Cup is a prestigious annual football tournament in India, first held in 1888. It is one of the oldest football competitions in the world.
The price of 24 apples is equal to that of 28 oranges. The price of 45 apples and 60 oranges together is ₹1,350. The total price of 30 apples and 40 oranges is:
This problem involves setting up and solving a system of linear equations based on the given price relationships between apples and oranges. We will use variables to represent the price of one apple and one orange, form two equations, solve for the variables, and then calculate the required total price.
The total price of 30 apples and 40 oranges is ₹900.
D) ₹900 is the correct total price calculated based on the given conditions.
The question asks to identify which option represents a relationship among a set of values. This refers to how data is organized and interconnected, typically in a database context.
Correct Option: B) A table is a collection of related data organized in rows and columns. It represents the overall structure and the relationships among a set of values.
This question asks to identify which type of bus in a computer system is bidirectional. We need to understand the function and directionality of each bus type: Address bus, Control bus, and Data bus.
Correct Option: C) Data bus
The data bus is bidirectional because data can flow in both directions: from the CPU to memory/I/O devices (write operation) and from memory/I/O devices to the CPU (read operation).
To solve this problem, we need to first determine the cost price (CP) of one banana. Then, we calculate the selling price (SP) of one banana to achieve a 20% gain. Finally, we find out how many bananas can be sold for one rupee at this calculated selling price.
Calculate the Cost Price (CP) of one banana:
The vendor bought 6 bananas for 1 rupee.
So, the cost of 1 banana is:
\[ \text{CP of 1 banana} = \frac{1}{6} \text{ rupee} \]Calculate the Selling Price (SP) of one banana to gain 20%:
The desired gain is 20%. The formula for SP with a gain percentage is:
\[ \text{SP} = \text{CP} \times \left(1 + \frac{\text{Gain \%}}{100}\right) \]Substitute the values:
\[ \text{SP of 1 banana} = \frac{1}{6} \times \left(1 + \frac{20}{100}\right) \] \[ \text{SP of 1 banana} = \frac{1}{6} \times \left(1 + \frac{1}{5}\right) \] \[ \text{SP of 1 banana} = \frac{1}{6} \times \left(\frac{5+1}{5}\right) \] \[ \text{SP of 1 banana} = \frac{1}{6} \times \frac{6}{5} \] \[ \text{SP of 1 banana} = \frac{1}{5} \text{ rupee} \]Determine how many bananas must be sold for a rupee:
If the selling price of 1 banana is \(\frac{1}{5}\) rupee, it means that for 1 rupee, the vendor must sell 5 bananas.
Number of bananas for 1 rupee \[= \frac{1}{\text{SP of 1 banana}}\]
\[ \text{Number of bananas} = \frac{1}{\frac{1}{5}} = 5 \]C) 5 — To gain 20%, the vendor must sell 5 bananas for a rupee, as calculated above.
The average monthly income of A and B is ₹5,050. The average monthly income of B and C is ₹6,250 and the average monthly income of A and C is ₹5,200. What is the monthly income of A?
This problem involves solving a system of linear equations. We are given the average monthly incomes of three pairs of individuals (A and B, B and C, A and C). We need to find the individual monthly income of A. We will set up equations based on the given averages and then solve them simultaneously.
Formulate equations from the given average incomes:
The average monthly income of A and B is ₹5,050. This means:
\[ \frac{A + B}{2} = 5050 \] \[ A + B = 2 \times 5050 \] \[ A + B = 10100 \quad \text{(Equation 1)} \]The average monthly income of B and C is ₹6,250. This means:
\[ \frac{B + C}{2} = 6250 \] \[ B + C = 2 \times 6250 \] \[ B + C = 12500 \quad \text{(Equation 2)} \]The average monthly income of A and C is ₹5,200. This means:
\[ \frac{A + C}{2} = 5200 \] \[ A + C = 2 \times 5200 \] \[ A + C = 10400 \quad \text{(Equation 3)} \]Add all three equations:
Adding Equation 1, Equation 2, and Equation 3:
\[ (A + B) + (B + C) + (A + C) = 10100 + 12500 + 10400 \] \[ 2A + 2B + 2C = 33000 \] \[ 2(A + B + C) = 33000 \] \[ A + B + C = \frac{33000}{2} \] \[ A + B + C = 16500 \quad \text{(Equation 4)} \]Find the monthly income of A:
To find the income of A, we can subtract Equation 2 (which contains B and C) from Equation 4:
\[ (A + B + C) - (B + C) = 16500 - 12500 \] \[ A = 4000 \]So, the monthly income of A is ₹4,000.
Correct Option: C) ₹4,000
The problem asks us to decode a word based on a given coding pattern. We need to identify the rule applied to each letter in the word "BOXER" to get "AQWGQ" and then apply the same rule to the word "VISIT".
Let's compare the letters of "BOXER" with "AQWGQ" position by position.
The pattern observed is a repeating sequence of operations: \(-1, +2, -1, +2, -1\).
Putting these decoded letters together, we get UKRKS.
Correct Option: B) UKRKS