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### Question

How many odd numbers are there between -1270 and 1358?

**A**

1314.

**B**

1315.

**C**

1313.

**D**

1316.

**Soln.**

**Ans: a**

Odd numbers are in an AP. First term $a = -1269$, common difference $d = 2$, the last term $t_n$ is given as 1357. By the AP formula, $1357 = -1269 + (n - 1) × 2$ ⇒ $n = 1 + {{1357 - (-1269)}/2} = 1314$.