Directions for Questions 46 - 50: What will come at the place of question mark (?) in the following number series?
$7, ? , 47, 191, 591, 1491$
11
10
13
12
15
Solution
The Pattern is,
$\begin{align}
& 7+{{\left( 1\times 2 \right)}^{2}}=11 \\
& 11+{{\left( 2\times 3 \right)}^{2}}=47 \\
& 47+{{\left( 3\times 4 \right)}^{2}}=191 \\
& 191+{{\left( 4\times 5 \right)}^{2}}=591 \\
& 591+{{(5\times 6)}^{2}}=1491 \\
\end{align}$