Number Series 1-3

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• Exercise 1

178, 13, 38, 163, 788, ?
A3915
B3914
C3985
D3913

Answer: A

Explanation:

$\newcommand\pad[1]{\rlap{#1}\phantom{120}}
\begin{array}
\pad{8} &&\pad{13} &&\pad{38} &&\pad{163} &&\pad{788} &&\pad{?} \\
&\pad{+5} &&\pad{+5^2} &&\pad{+5^3} &&\pad{+5^4} &&\color{red}{+5^5} \\
\end{array}$

18680, 599, 550, ?, 516, 515
A585
B525
C625
D555

Answer: A

Explanation:

$\newcommand\pad[1]{\rlap{#1}\phantom{120}}
\begin{array}
\pad{680} &&\pad{599} &&\pad{550} &&\pad{?} &&\pad{516} &&\pad{515} \\
&\pad{-9^2} &&\pad{-7^2} &&\color{red}{-5^2} &&\pad{-3^2} &&\pad{-1^2} \\
\end{array}$

195, 13, 77, ?, 805, 1805
A395
B392
C293
D555

Answer: C

Explanation:

$\newcommand\pad[1]{\rlap{#1}\phantom{120}}
\begin{array}
\pad{5} &&\pad{13} &&\pad{77} &&\pad{?} &&\pad{805} &&\color{blue}{1805} \\
&\pad{+2^3} &&\pad{+4^3} &&\color{red}{+6^3} &&\pad{+8^3} &&\color{red}{+10^3} \\
\end{array}$

2013, 40, 65, 408, 489, ?
A1950
B1850
C1820
D1920

Answer: A

Explanation:

$\newcommand\pad[1]{\rlap{#1}\phantom{620}}
\begin{array}
\pad{13} &&\pad{40} &&\pad{65} &&\pad{408} &&\pad{489} &&\pad{?} \\
&\pad{+3^3} &&\pad{+5^2} &&\pad{+7^3} &&\pad{+9^2} &&\color{red}{+11^3}\\
\end{array}$

2118, 26, -1, 63, -62, ?
A184
B154
C148
D198

Answer: B

Explanation:

$\newcommand\pad[1]{\rlap{#1}\phantom{120}}
\begin{array}
\pad{18} &&\pad{26} &&\pad{-1} &&\pad{63} &&\pad{-62} &&\color{blue}{154} \\
&\pad{+2^3} &&\pad{-3^3} &&\pad{+4^3} &&\pad{-5^3} &&\color{red}{+6^3}
\end{array}$

223, 5, 9, 17, 33, 65, ?
A139
B129
C152
D142

Answer: B

Explanation:

$\newcommand\pad[1]{\rlap{#1}\phantom{120}}
\begin{array}
\pad{3} &&\pad{5} &&\pad{9} &&\pad{17} &&\pad{33} &&\pad{65} &&\color{blue}{129}\\
&\pad{+2} &&\pad{+4} &&\pad{+8} &&\pad{+16} &&\pad{+32}&&\color{red}{+64}
\end{array}$

235, 16, 49, 104, 181, 280, ?
A421
B458
C401
D421

Answer: C

Explanation:

$\newcommand\pad[1]{\rlap{#1}\phantom{120}}
\begin{array}
\pad{5} &&\pad{16} &&\pad{49} &&\pad{104} &&\pad{181} &&\pad{280} &&\color{blue}{401}\\
&\pad{+11} &&\pad{+33} &&\pad{+55} &&\pad{+77} &&\pad{+99}&&\color{red}{+121}
\end{array}$

24501, 500, 492, 465, 401, 276, ?
A69
B89
C60
D59

Answer: C

Explanation:

$\newcommand\pad[1]{\rlap{#1}\phantom{120}}
\begin{array}
\pad{501} &&\pad{500} &&\pad{492} &&\pad{465} &&\pad{401} &&\pad{276} &&\color{blue}{60}\\
&\pad{-1^3} &&\pad{-2^3} &&\pad{-3^3} &&\pad{-4^3} &&\pad{-5^3}&&\color{red}{-6^3}
\end{array}$

123

Number Series: ShortcutsNumber Series: Exercise - 1Number Series: Exercise - 2