970, 84.5, 113.5, 157, 215, ?
A287
B287.5
C288
D285
Answer: A
Explanation:
$\newcommand\pad[1]{\rlap{#1}\phantom{50}}
\begin{array}
\pad{70} &&\pad{84.5} &&\pad{113.5} &&\pad{157} &&\pad{215} &&\color{blue}{287.5} \checkmark\\
&\pad{14.5} &&\pad{29} &&\pad{43.5} &&\pad{58} &&\color{red}{72.5} &&
\end{array}$
17, 18, 22, 49, 65, ?
A190
B185
C182
D285
Answer: A
Explanation:
$\newcommand\pad[1]{\rlap{#1}\phantom{120}}
\begin{array}
\pad{17} &&\pad{18} &&\pad{22} &&\pad{49} &&\pad{65} &&\color{blue}{190} \\
&\pad{1^3} &&\pad{2^2} &&\pad{3^3} &&\pad{4^2} &&\color{red}{5^3} \\
\end{array}$
217, 213, 205, 189, 157 ?
A88
B96
C93
D95
Answer: C
Explanation:
$\newcommand\pad[1]{\rlap{#1}\phantom{620}}
\begin{array}
\pad{217} &&\pad{213} &&\pad{205} &&\pad{189} &&\pad{157} &&\color{blue}{93}\checkmark \\
&\pad{-4} &&\pad{-8} &&\pad{-16} &&\pad{-32} &&\color{red}{-64} \\
\end{array}$
31, 62, 186, 744, 3720 ?
A23320
B23340
C22320
D22330
Answer: A
Explanation:
$\begin{array}{cc}
Pattern & Series \\
31 & 31 \\
31 × 2 & 62 \\
62 × 3 & 186 \\
186 × 4 & 744 \\
744 × 5 & 3720 \\
3720 ×6 &22320 &\checkmark\\
\end{array}$
5, 7, 10, 36, ?, 690
A134
B136
C128
D132
Answer: B
Explanation:
$\begin{array}{cc}
Pattern & Series \\
5 & 5 \\[2px]
5 × 1 + 2 × 1 & 7 \\[2px]
7 × 2 - 2 × 2 & 10 \\[2px]
10 × 3 + 2 × 3 & 36 \\[2px]
36 × 4 - 2 × 4 & 136 & \checkmark \\[2px]
136 × 5 + 2 × 5 &690 \\[2px]
\end{array}$
15, 32, 93, 460, ?, 35354
A3213
B3223
C3215
D3315
Answer: A
Explanation:
$\begin{array}{cc}
Pattern & Series \\
15 & 15 \\[2px]
15 × 2 + 2 & 32 \\[2px]
32× 3 - 3 & 93 \\[2px]
93 × 5 + 5 & 460 \\[2px]
460 × 7 - 7 & 3213 & \checkmark \\[2px]
3213 × 11 + 11 & 35354 \\[2px]
\end{array}$
4, 6, 12, 30, 90, 315, ?
A1240
B1260
C1254
D1265
Answer: B
Explanation:
$\begin{array}{cc}
Pattern & Series \\
4 & 4 \\[2px]
4 × 1.5 & 6 \\[2px]
6 × 2 & 12 \\[2px]
12 × 2.5 & 30 \\[2px]
30 × 3 & 90 \\[2px]
90 × 3.5 & 315 \\[2px]
315 × 4 & 1260 \\[2px]
\end{array}$
7, 30, 49, 66, 79, 90, 97, ?
A103
B104
C102
D100
Answer: C
Explanation:
$\newcommand\pad[1]{\rlap{#1}\phantom{222}}
\begin{array}
\pad{1} &&\pad{30} &&\pad{49} &&\pad{66} &&\pad{79} &&\pad{90} &&\pad{97} &&\color{blue}{102}\checkmark\\
&\pad{+23} &&\pad{+19} &&\pad{+17} &&\pad{+13} &&\pad{+11} &&\pad{+7}&&\color{red}{+5} \\
\end{array}$
