Given a position number can we find out the design that appears there? Class 7
easyGiven a position number can we find out the design that appears there? Class 7
Question 1.
Given a position number can we find out the design that appears there? Which Design appears at Position 122? Class 7
If the position is a multiple of 3, then clearly we have Design C. As seen earlier, if the position is one less than a multiple of 3, it has Design B, and if it is 2 less than a multiple of 3, then it has Design A.
Solution:
Yes.
We start with design A, which is appearing at (3n - 2) place. So, 3n - 2 = 122 or 3n = 124 or n = [latex]\frac {124}{3}[/latex], which is not a whole number. So, design A will not appear at 122th place. Now, we take design B which is appearing at (3n - 1)th place. So, 3n - 1 = 122 or 3n = 123, i.e., n = [latex]\frac {123}{3}[/latex] = 41, which is a whole number. So, design B will appear at the 122th place.
Design C will not appear at 122th place because with 3n = 122 also we do not get n as a whole number.
Question 2.
Can the remainder obtained by dividing the position number by 3 be used for this? Observe the table below. Class 7
| Position no. | Quotient on division by 3 | Remainder |
| 99 | 33 | 0 |
| 122 | 40 | 2 |
| 148 | 49 | 1 |
Solution:
Yes