The question asks to identify which element is NOT inherently part of a basic 'Blank Presentation' when initially created in MS PowerPoint. We need to consider what PowerPoint provides by default when you choose to start a new, blank presentation.
A) Pre-defined theme colours — A blank presentation starts with a very basic, often monochrome, color scheme. It does not inherently come with a rich, predefined theme with specific color palettes applied. Users typically choose or apply a theme later to introduce such colors.
This problem involves calculating simple interest. We are given the principal amounts for two individuals, the time period, and the difference in the interest earned. We need to find the common rate of interest. The formula for simple interest is \(I = \frac{P \times R \times T}{100}\), where \(I\) is the interest, \(P\) is the principal, \(R\) is the rate, and \(T\) is the time.
Identify the given values for Mohan:
The simple interest earned by Mohan (\(I_M\)) will be:
\[ I_M = \frac{P_M \times R \times T}{100} = \frac{5000 \times R \times 3}{100} = 150R \]Identify the given values for Varun:
The simple interest earned by Varun (\(I_V\)) will be:
\[ I_V = \frac{P_V \times R \times T}{100} = \frac{9000 \times R \times 3}{100} = 270R \]Use the information about the difference in interest:
Varun gets ₹480 more interest than Mohan. So,
\[ I_V - I_M = 480 \]Substitute the expressions for \(I_V\) and \(I_M\) into the equation:
\[ 270R - 150R = 480 \]\[ 120R = 480 \]Solve for \(R\):
\[ R = \frac{480}{120} \]\[ R = 4 \]Therefore, the rate of interest per annum is 4%.
B) 4% is the correct rate of interest per annum.
Hitesh ranked 28th from the top and 13th from the bottom in his class. How many students are there in his class?
To find the total number of students in the class, we can use the formula that relates a person's rank from the top and bottom. When a person's rank from both ends is known, the total number of people in the line or class can be calculated by adding the rank from the top and the rank from the bottom, and then subtracting 1 (because the person themselves has been counted twice).
Therefore, there are 40 students in the class.
Correct Option: B) 40
This problem involves determining relative positions of towns based on given directional information. We can solve this by drawing a simple diagram or visualizing the positions on a compass.
Let's combine these facts:
Combining V - X - W (where X is east of V and west of W) satisfies all conditions. If X were east of W, then Z (north of X) would be north-east of W, contradicting the given information that Z is north-west of W. Therefore, X must be located between V and W.
So, the arrangement is V --- X --- W.
From this arrangement, Town X is to the west of Town W.
Correct Option: C) West
This is a circular seating arrangement problem. We need to deduce the positions of seven people (D, E, F, G, H, I, K) sitting around a circular table facing the center based on the given clues. We will start by placing one person and then use the relative positions to place others, eliminating possibilities as we go.
To find Chetan's sale two years ago, we need to reverse the percentage increases. We will first account for the 20% increase in the second year and then the 2% increase in the first year. This involves dividing the current sale amount by the respective growth factors.
D) 1,44,444.44
To find the number divisible by both 37 and 8, we need to check each option for divisibility by 8 first (as it's generally easier), and then check the remaining options for divisibility by 37. A number is divisible by 8 if its last three digits are divisible by 8. A number is divisible by 37 if, when you subtract 11 times the last digit from the number formed by the remaining digits, the result is divisible by 37 (or by direct division).
Let's perform the division:
\[ \begin{array}{r} 384 \\ 37\overline{)14208} \\ -111 \\ \hline 310 \\ -296 \\ \hline 148 \\ -148 \\ \hline 0 \\ \end{array} \]Since the remainder is 0, 14208 is divisible by 37.
B) 14208 is divisible by both 8 and 37.
The problem asks us to find the missing number in a given series. To solve this, we need to identify the pattern or relationship between consecutive numbers in the series.
D) 82 — The series follows an arithmetic progression with a common difference of 12. Adding 12 to 70 gives 82.
To find the mean of the data set, we will use the empirical relationship between mean, median, and mode. This formula is often used for moderately skewed distributions where the mean, median, and mode are not identical but are related.
Correct Option: C) 82.9
This is a blood relation problem. We need to establish the relationships between the given individuals step-by-step and then determine how F is related to J.
J is the father of H. H is married to G. F is the sister of G. Therefore, F is the sister of J's daughter's husband (G).
Correct Option: C) Daughter's husband's sister
J's daughter is H. H's husband is G. G's sister is F. So, F is J's daughter's husband's sister.