Advertisement

### Question

How many odd numbers are there between -1714 and 2242?

**A**

1978.

**B**

1979.

**C**

1977.

**D**

1980.

**Soln.**

**Ans: a**

Odd numbers are in an AP. First term $a = -1713$, common difference $d = 2$, the last term $t_n$ is given as 2241. By the AP formula, $2241 = -1713 + (n - 1) × 2$ ⇒ $n = 1 + {{2241 - (-1713)}/2} = 1978$.