The problem is a coding-decoding question. We need to find the code for the word REACT based on the given codes for RACE, FACT, and FORCE. We will deduce the code for each letter by comparing the given coded words.
D) 43795 is the correct code for REACT based on the deduced individual letter codes.
To solve this problem, we first need to determine the Cost Price (CP) of the bus. We are given the Selling Price (SP) and the percentage loss. Once we have the CP, we can calculate the new selling price required to achieve a 15% profit.
Calculate the Cost Price (CP):
Given:
The formula for selling price with a loss is:
\[ \text{SP} = \text{CP} \times \left(1 - \frac{\text{Loss \%}}{100}\right) \]Substitute the given values:
\[ 510 = \text{CP} \times \left(1 - \frac{15}{100}\right) \] \[ 510 = \text{CP} \times \left(\frac{100 - 15}{100}\right) \] \[ 510 = \text{CP} \times \frac{85}{100} \]Now, solve for CP:
\[ \text{CP} = \frac{510 \times 100}{85} \] \[ \text{CP} = \frac{51000}{85} \] \[ \text{CP} = 600 \]So, the Cost Price of the bus is Rs. 600.
Calculate the new Selling Price (\(\text{SP}_2\)) for a 15% profit:
We want to achieve a profit of 15% on the Cost Price (Rs. 600).
The formula for selling price with a profit is:
\[ \text{SP} = \text{CP} \times \left(1 + \frac{\text{Profit \%}}{100}\right) \]Substitute the CP and desired profit percentage:
\[ \text{SP}_2 = 600 \times \left(1 + \frac{15}{100}\right) \] \[ \text{SP}_2 = 600 \times \left(\frac{100 + 15}{100}\right) \] \[ \text{SP}_2 = 600 \times \frac{115}{100} \] \[ \text{SP}_2 = 6 \times 115 \] \[ \text{SP}_2 = 690 \]Therefore, the bus should be sold for Rs. 690 to get a profit of 15%.
Correct Option: B) Rs. 690
The question asks for the standard Windows keyboard shortcut for 'Redo'. This is a common function in many applications to reverse the last 'Undo' action. We need to identify the correct key combination among the given options.
A) Control+Shift+Z is the standard keyboard shortcut for 'Redo' in most Windows applications. This combination reverses the last 'Undo' action.
To find the fourth proportional to three given numbers, we set up a proportion where the ratio of the first two numbers is equal to the ratio of the third number to the unknown fourth proportional. This is a fundamental concept in ratios and proportions.
Thus, the fourth proportional to 14, 28, and 21 is 42.
B) 42 is the correct answer, as calculated by setting up and solving the proportion.
This question tests knowledge about significant mergers in the Indian banking sector. Specifically, it asks about the merger of Bharatiya Mahila Bank Limited (BMB) with another public sector bank. Recalling key banking reforms and mergers is crucial here.
Correct Option: C) State Bank of India
The Union Cabinet approved the merger of Bharatiya Mahila Bank Limited with the State Bank of India (SBI) in March 2017. This merger was part of a larger consolidation exercise that also included the merger of five associate banks of SBI with itself. The objective was to create a stronger and larger banking entity.
The question asks about the geographical setting of Murud Janjira Fort. To answer this, one needs to recall or know the characteristic feature of this specific fort, which is its unique location.
D) Water — Murud Janjira is an island fort, meaning it is entirely surrounded by the Arabian Sea. This is its most defining geographical feature.
To solve this problem, we need to first convert all time durations into a single unit (seconds). Then, we can find the cost per second and use that to calculate the cost for the new duration.
Correct Option: A) 8
Fill in the blanks:
As of 2017, the Constitution of India puts a limit on the size of the Lok Sabha to ______ elected members, apart from ______ members nominated by the President to represent the Anglo-Indian community.
This question tests knowledge of the constitutional provisions regarding the composition of the Lok Sabha, specifically the maximum number of elected members and the number of nominated members for the Anglo-Indian community.
Correct Option: A) 550 and 2
To find the number of sides of a regular polygon given its interior angle, we can use the formula for the interior angle of a regular polygon. Alternatively, we can first find the exterior angle, which is often simpler, and then use the relationship between the exterior angle and the number of sides.
Method 1: Using the interior angle formula
The formula for the measure of each interior angle of a regular polygon with \(n\) sides is given by:
\[ \text{Interior Angle} = \frac{(n - 2) \times 180^{\circ}}{n} \]We are given that the interior angle is \(168^{\circ}\). So, we can set up the equation:
\[ 168^{\circ} = \frac{(n - 2) \times 180^{\circ}}{n} \]Multiply both sides by \(n\):
\[ 168n = (n - 2) \times 180 \]Distribute \(180\) on the right side:
\[ 168n = 180n - 360 \]Subtract \(180n\) from both sides:
\[ 168n - 180n = -360 \]\[ -12n = -360 \]Divide by \(-12\):
\[ n = \frac{-360}{-12} \]\[ n = 30 \]Method 2: Using the exterior angle
The sum of an interior angle and its corresponding exterior angle of any polygon is \(180^{\circ}\).
\[ \text{Interior Angle} + \text{Exterior Angle} = 180^{\circ} \]Given the interior angle is \(168^{\circ}\), we can find the exterior angle:
\[ \text{Exterior Angle} = 180^{\circ} - 168^{\circ} \]\[ \text{Exterior Angle} = 12^{\circ} \]For a regular polygon, the measure of each exterior angle is given by the formula:
\[ \text{Exterior Angle} = \frac{360^{\circ}}{n} \]Substitute the calculated exterior angle into the formula:
\[ 12^{\circ} = \frac{360^{\circ}}{n} \]Solve for \(n\):
\[ n = \frac{360^{\circ}}{12^{\circ}} \]\[ n = 30 \]Both methods yield the same result.
Correct Option: B) 30