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For each of the following compound statements first identify the connecting words and then break it into component statements.
x = 2 and x = 3 are the roots of the equation 3x2 – x – 10 = 0.
Concept: undefined >> undefined
Identify the quantifier in the following statements and write the negation of the statements.
There exists a number which is equal to its square.
Concept: undefined >> undefined
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Identify the quantifier in the following statements and write the negation of the statements.
For every real number x, x is less than x + 1.
Concept: undefined >> undefined
Identify the quantifier in the following statements and write the negation of the statements.
There exists a capital for every state in India.
Concept: undefined >> undefined
Check whether the following pair of statements is negation of each other. Give reasons for the answer.
(i) x + y = y + x is true for every real numbers x and y.
(ii) There exists real number x and y for which x + y = y + x
Concept: undefined >> undefined
State whether the “Or” used in the following statements is “exclusive “or” inclusive. Give reasons for your answer.
Sun rises or Moon sets.
Concept: undefined >> undefined
State whether the “Or” used in the following statements is “exclusive “or” inclusive. Give reasons for your answer.
To apply for a driving licence, you should have a ration card or a passport.
Concept: undefined >> undefined
State whether the “Or” used in the following statements is “exclusive “or” inclusive. Give reasons for your answer.
All integers are positive or negative.
Concept: undefined >> undefined
Find the mean deviation about the mean for the data.
4, 7, 8, 9, 10, 12, 13, 17
Concept: undefined >> undefined
Find the mean deviation about the mean for the data.
38, 70, 48, 40, 42, 55, 63, 46, 54, 44
Concept: undefined >> undefined
Find the mean deviation about the median for the data.
13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17
Concept: undefined >> undefined
Find the mean deviation about the median for the data.
36, 72, 46, 42, 60, 45, 53, 46, 51, 49
Concept: undefined >> undefined
Find the mean deviation about the mean for the data.
| xi | 5 | 10 | 15 | 20 | 25 |
| fi | 7 | 4 | 6 | 3 | 5 |
Concept: undefined >> undefined
Find the mean deviation about the mean for the data.
| xi | 10 | 30 | 50 | 70 | 90 |
| fi | 4 | 24 | 28 | 16 | 8 |
Concept: undefined >> undefined
Find the mean deviation about the median for the data.
| xi | 5 | 7 | 9 | 10 | 12 | 15 |
| fi | 8 | 6 | 2 | 2 | 2 | 6 |
Concept: undefined >> undefined
Find the mean deviation about the median for the data.
| xi | 15 | 21 | 27 | 30 | 35 |
| fi | 3 | 5 | 6 | 7 | 8 |
Concept: undefined >> undefined
Find the mean deviation about the mean for the data.
| Income per day in ₹ | Number of persons |
| 0-100 | 4 |
| 100-200 | 8 |
| 200-300 | 9 |
| 300-400 | 10 |
| 400-500 | 7 |
| 500-600 | 5 |
| 600-700 | 4 |
| 700-800 | 3 |
Concept: undefined >> undefined
Find the mean deviation about the mean for the data.
| Height in cms | Number of boys |
| 95 - 105 | 9 |
| 105 - 115 | 13 |
| 115 - 125 | 26 |
| 125 - 135 | 30 |
| 135 - 145 | 12 |
| 145 - 155 | 10 |
Concept: undefined >> undefined
Find the mean deviation about median for the following data:
| Marks | Number of girls |
| 0-10 | 6 |
| 10-20 | 8 |
| 20-30 | 14 |
| 30-40 | 16 |
| 40-50 | 4 |
| 50-60 | 2 |
Concept: undefined >> undefined
Calculate the mean deviation about median age for the age distribution of 100 persons given below:
| Age | Number |
| 16 - 20 | 5 |
| 21 - 25 | 6 |
| 26 - 30 | 12 |
| 31 - 35 | 14 |
| 36 - 40 | 26 |
| 41 - 45 | 12 |
| 46 - 50 | 16 |
| 51 - 55 | 9 |
Concept: undefined >> undefined
