Anjuman was counting down from 32 and Neha was counting upwards the numbers starting from 1 and she was calling out the odd numbers. What common numbers will they call out at the same time if they were calling out at the same speed ?

Options

A. 23
B. they will not call out the same number
C. 19
D. 27

Answer

B

Explanation

Let the `n^(th)` count of both Anjuman and Neha be the same.
Then, according to the question
`32+(n-1)(-1)= 1 + (n − 1)2 `
or, `32 – 11 + 1 = 1 + 2n - 2 `
or, `33 – n = 2n – 1 `
or, `3n = 34 `
or, `n = 34/3`
So, n is a fraction.
Therefore, they will not call out the same number.