Question Detail

5,9,17,29,45, ?

Answer: Option C

Explanation:

In this series the pattern is +4, +8, +12, +16, so next will be +20

Term which will replace the question mark in this series will be 45+20 = 65

1. Which fraction will come next, \begin{aligned} \frac{1}{2}, \frac{3}{4}, \frac{5}{8}, \frac{7}{16}, ? \end{aligned}

\begin{aligned} \frac{11}{32} \end{aligned}
\begin{aligned} \frac{9}{28} \end{aligned}
\begin{aligned} \frac{9}{30} \end{aligned}
\begin{aligned} \frac{9}{32} \end{aligned}

Answer: Option D

Explanation:

Numerators of the fractions in the given sequence are getting increased by 2, i.e. 1+2,3+2,5+2, so next will be 7+2 = 9

Denominators of the fractions in the series is getting doubled, 2*2 = 4, 4*2 = 8, 8*2 = 16, no next will be 16*2 = 32

So resulting fraction will be
\begin{aligned}
\frac{9}{32}
\end{aligned}

2. 5, 9, 17, 29, 45, ... ?

Answer: Option C

Explanation:

Pattern in the series is +4, +8, +12, +16.
Next term will be 45 + 20 = 65

3. 2,5,9,?,20,27, what will replace the question mark ?

Answer: Option B

Explanation:

Pattern is +3,+4,..,..,+7, so +5 and +6 will be in the blanks

Question mark will be replaced by 9+5 = 14

4. Complete the series, 3, 8, 13, 24, 41, ?

Answer: Option A

Explanation:

Pattern of the above series is
first + second + 2, second + third + 3, third + fourth + 4......
So next term will be
24 + 41 + 5 = 70

5. Complete the series 2,2,5, 13,28,....

Answer: Option C

Explanation:

\begin{aligned}
\text{Pattern is }\\
+1^2-1, +2^2-1, +3^2-1,+4^2-1 \\
5^2-1 = 28 + 24 \\
= 52
\end{aligned}