The question asks to identify which of the given options is NOT a common bitmap-based file type extension. We need to understand what bitmap-based files are and then evaluate each option.
Correct Option: A) ODT is an OpenDocument Text file, which is a word processing document format, not a bitmap image format.
Statements followed by some conclusions are given below.
Statements:
A. All men are mechanics.
B. All mechanics are engineers.
Conclusions:
I. Some mechanics are men.
II. Some engineers are mechanics.
Find which one of the given conclusions logically follows from the given statement.
Neither I nor II follows
Both I and II follow
Only conclusion I follows
Only conclusion II follows
This problem involves analyzing statements and deriving logical conclusions, a common type of question in competitive exams. We can use Venn diagrams or logical deduction rules to determine which conclusions follow from the given statements.
Both Conclusion I and Conclusion II logically follow from the given statements.
B) Both I and II follow
As determined in the step-by-step analysis, both conclusions are logically derivable from the given statements. Conclusion I follows from Statement A (All A are B implies Some B are A). Conclusion II follows from Statement B (All A are B implies Some B are A).
This problem involves the concept of work and time, specifically inverse proportionality between the number of persons and the time taken to complete a fixed amount of work. We will calculate the total work units and then determine the new time taken with the increased number of persons. Finally, we will find the difference in days.
C) 15 days — The work will be completed 15 days earlier.
The problem presents an analogy based on letter patterns. We need to identify the relationship between the first pair of letter groups (RMSK : SLUI) and then apply the same relationship to the third group (KMFZ) to find the missing fourth group.
B) LLHX is the correct option because applying the \((+1), (-1), (+2), (-2)\) pattern to KMFZ yields LLHX.
The question asks for the year in which the Rowlatt Act was passed. This requires knowledge of significant historical events and their timelines in India's freedom struggle.
Based on this historical information, the year of its passing is clearly identifiable.
Correct Option: C) 1919
The problem involves calculating the principal amount (P) given the compound interest (CI), rate of interest (R), and time period (T). We will use the formula for compound interest to solve this problem.
The amount (\(A\)) after \(T\) years at a compound interest rate of \(R\) is given by:
\[ A = P \left(1 + \frac{R}{100}\right)^T \]Compound Interest (\(\text{CI}\)) is the difference between the Amount and the Principal:
\[ \text{CI} = A - P \]We have \(\text{CI} = 5280\), \(R = 20\%\), and \(T = 2\) years.
\[ 5280 = P \left[ \left(1 + \frac{20}{100}\right)^2 - 1 \right] \]A) Rs. 12,000 is the correct value for P.
We are given two cost price equations for pants and shirts. We need to find the individual cost price of a shirt. Then, we compare this cost price with the selling price per shirt to determine the profit or loss.
Let \(P\) be the cost price of one pant and \(S\) be the cost price of one shirt.
From the problem statement, we have two scenarios where the total cost is Rs. 5,600:
Scenario 1: 2 pants + 4 shirts
\[ 2P + 4S = 5600 \quad \text{(Equation 1)} \]Scenario 2: 1 pant + 6 shirts
\[ 1P + 6S = 5600 \quad \text{(Equation 2)} \]From Equation 2, we can express \(P\) in terms of \(S\):
\[ P = 5600 - 6S \quad \text{(Equation 3)} \]Substitute Equation 3 into Equation 1:
\[ 2(5600 - 6S) + 4S = 5600 \] \[ 11200 - 12S + 4S = 5600 \] \[ 11200 - 8S = 5600 \] \[ 8S = 11200 - 5600 \] \[ 8S = 5600 \] \[ S = \frac{5600}{8} \] \[ S = 700 \]So, the cost price of one shirt is Rs. 700.
The shopkeeper sold 10 shirts for Rs. 6,000.
Selling Price (SP) of 1 shirt \[= \frac{\text{Total Selling Price}}{\text{Number of Shirts}}\]
\[ \text{SP per shirt} = \frac{6000}{10} = 600 \]So, the selling price of one shirt is Rs. 600.
Cost Price (CP) per shirt = Rs. 700
Selling Price (SP) per shirt = Rs. 600
Since \(\text{CP} > \text{SP}\), there is a loss.
Loss per shirt \( = \text{CP} - \text{SP} \)
\[ \text{Loss per shirt} = 700 - 600 = 100 \]The loss per shirt is Rs. 100.
Correct Option: D) Loss Rs. 100
This problem involves two trains moving towards each other. We need to calculate the time taken by train P to reach the meeting point and then use this time to find the speed of train Q, given the distances covered by both trains.
The total distance between A and B is 360 km. Train Q crosses train P at a distance of 120 km from B. This means the meeting point is 120 km from B. Therefore, the distance of the meeting point from A is:
\[ \text{Distance from A} = \text{Total distance} - \text{Distance from B} \\ \text{Distance from A} = 360 \text{ km} - 120 \text{ km} = 240 \text{ km} \]So, train P travels 240 km until it meets train Q.
Train P starts at 10 am and runs at a speed of 60 kmph. The distance covered by train P is 240 km.
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \\ \text{Time taken by P} = \frac{240 \text{ km}}{60 \text{ kmph}} = 4 \text{ hours} \]Train P starts at 10 am and travels for 4 hours. So, they meet at:
\[ 10 \text{ am} + 4 \text{ hours} = 2 \text{ pm} \]Train Q starts from B at 11 am and meets train P at 2 pm.
\[ \text{Time taken by Q} = 2 \text{ pm} - 11 \text{ am} = 3 \text{ hours} \]Train Q covers a distance of 120 km (from B to the meeting point) in 3 hours.
\[ \text{Speed of Q} = \frac{\text{Distance covered by Q}}{\text{Time taken by Q}} \\ \text{Speed of Q} = \frac{120 \text{ km}}{3 \text{ hours}} = 40 \text{ kmph} \]Correct Option: A) 40 kmph
The question asks for the minimum age requirement to be appointed as the Governor of a State in India. This is a direct factual question related to the eligibility criteria for constitutional posts in India, as defined in the Indian Constitution.
Correct Option: D) 35
Article 157 of the Indian Constitution specifies the qualifications for appointment as Governor. It states that no person shall be eligible for appointment as Governor unless he is a citizen of India and has completed the age of 35 years. Therefore, 35 years is the minimum age limit.
To determine the shortest person, we need to establish the relative heights of all individuals mentioned. We will use inequalities to represent the height relationships and then combine them to find the overall order.
Correct Option: A) Harish is the shortest of all, as established by the combined height sequence.