17216, 222, 234, 254, 284, ?
A395
B392
C293
D326
Answer: D
Explanation:
$\newcommand\pad[1]{\rlap{#1}\phantom{620}}
\begin{array}
\pad{216} &&\pad{222} &&\pad{234} &&\pad{254} &&\pad{284} &&\pad{?} \\
&\pad{2^2+2} &&\pad{3^2+3} &&\pad{4^2+4} &&\pad{5^2+5} &&\color{red}{6^2+6}&& \Leftarrow\text{1st Diff.} \\
\end{array}$
46, 52, 72, ?, 186, 296
A118
B114
C120
D192
Answer: B
Explanation:
$\begin{array}{cc}
Pattern & Series \\
46 & 46 \\
46 + 2 × 3 & 52 \\
52 + 4 × 5 & 72 \\
72 + 6 × 7 & 114 &\checkmark \\
1148 + 8 × 9 & 186 \\
186 + 10 × 11 &296 \\
\end{array}$
3, 6, 30, 330, 5610, ?
A129890
B129030
C120485
D124589
Answer: B
Explanation:
$\begin{array}{cc}
Pattern & Series \\
3 & 3 \\
3 × 2 & 6 \\
6 × 5 & 30 \\
30 × 11 & 330 \\
330 × 17 & 5610 \\
5610 × 23 &129030 &\checkmark\\
\end{array}$
214 63 32.5 17.25 8.725 ?
A5.3645
B5.3625
C7.5245
D5.6525
Answer: B
Explanation:
$\begin{array}{cc}
Pattern & Series \\
124 & 124 \\
124 × 1/2 + 1 & 63 \\
63 × 1/2 + 1 & 32.5 \\
32.5 × 1/2 + 1 & 17.25 \\
17.25 × 1/2 + 1 & 8.725 \\
8.725 × 1/2 + 1 & 5.3625 &\checkmark\\
\end{array}$
240, 120, 180, 450, ?
A1575
B1625
C1750
D1652
Answer: A
Explanation:
$\begin{array}{cc}
Pattern & Series \\
24 & 240 \\
240 × 1/2 & 120 \\
120 × 3/2 & 180 \\
180 × 5/2 & 450 \\
450 × 7/2 & 1575 &\checkmark\\
\end{array}$
5, 12, 33, 136, 675, ?
A4582
B4625
C4050
D4056
Answer: D
Explanation:
$\begin{array}{cc}
Pattern & Series \\
5 & 5 \\
5 × 2 + 2 & 12 \\
12 × 3 - 3 & 33 \\
33 × 4 + 4 & 136 \\
136 × 5 - 5 & 675 \\
675 × 6 + 6 & 4056 & \checkmark \\
\end{array}$
9, 10, 19, 58, 231, 1156, ?
A6935
B6625
C6050
D5056
Answer: A
Explanation:
$\begin{array}{cc}
Pattern & Series \\
9 & 9 \\
9 × 1 + 1 & 10 \\
10 × 2 - 1 & 19 \\
19 × 3 + 1 & 58 \\
58 × 4 - 1 & 231 \\
231 × 5 + 1 & 1156 \\
1156 × 6 - 1 & 6935 &\checkmark\\
\end{array}$
4, 16, 36, 64, 100, 144, ?
A196
B198
C204
D221
Answer: A
Explanation:
$\begin{array}{cc}
Pattern & Series \\
4 × 1^2 & 4 \\
4 × 2^2 & 16 \\
4 × 3^2 & 36 \\
4 × 4^2 & 64 \\
4 × 5^2 & 100 \\
4 × 6^2 & 144 \\
4 × 7^2 & 196 &\checkmark\\
\end{array}$
