"Ellipses are two dimensional figure. It has two focii and a major axis and a minor axis. A circle is always an ellipse with equal major and minor axes." In the text given above, M is the number of times, a letter has occurred consecutively (like p in dipper), and N is number of words with four or more letters that have been repeated in the text. What is the product of M and N?
Analyze the Text for M and N
The problem asks us to find two values, M and N, based on the provided text about ellipses and then calculate their product.
Calculating M (Consecutive Letters)
M represents the total count of instances where a letter appears consecutively within the text. We need to examine each word for identical letters appearing side-by-side.
- In the word "Ellipses", the letter 'l' appears twice consecutively ('ll'). This is 1 instance.
- In the word "focii", the letter 'i' appears twice consecutively ('ii'). This is 1 instance.
- In the word "ellipse", the letter 'l' appears twice consecutively ('ll'). This is 1 instance.
There are no other words in the text with consecutive identical letters.
Therefore, the total count for M is $1 + 1 + 1 = 3$.
M = 3
Calculating N (Repeated Words >= 4 Letters)
N is the count of distinct words that have four or more letters and are repeated within the text.
First, let's list all words with four or more letters from the text:
- Ellipses
- dimensional
- figure
- focii
- major
- axis
- minor
- circle
- always
- ellipse
- with
- equal
- major
- minor
- axes
Now, identify the words from this list that appear more than once:
- "major" appears 2 times.
- "axis" appears 2 times.
- "minor" appears 2 times.
The words "Ellipses", "dimensional", "figure", "focii", "circle", "always", "ellipse", "with", "equal", and "axes" each appear only once.
There are 3 distinct words with four or more letters that are repeated.
Therefore, N = 3.
Final Product Calculation
The question asks for the product of M and N.
Using the calculated values:
$ M \\times N $ $ 3 \\times 3 $ $ 9 $The product of M and N is 9.
Important Questions from Vocabulary
- Which of the following is NOT a feature of communication?
- Which of the following refers to the study of eye contact?
- A generally accepted opinion or decision among a group of people is:
All the skills mentioned below are referred to as Interpersonal skills EXCEPT _____________
- The only __________ with the proposal is that it is a little expensive.
