If a, b and c are 3 consecutive integers between -10 to +10 (both inclusive), how many integer values are possible for the expression –
$\frac$

A. 0

B. 1

C. 2

D. 3

C. 2

Since $a, b, c$ are consecutive integers
$$
\Rightarrow a=b-1 \text c=b+1
$$
Expression: $\frac$
$$
\begin
& =\frac \\
& =\frac \\
& =\frac=\frac
\end
$$
Putting different values of $b$ from – 10 to 10 , we can verify that only – 1 and 1 satisfies to get integer values for the expression.