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

1. 50
2. 51
3. 52
4. 53

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}

• 2. Which number would replace the question mark in series 7,12,19,?,39

1. 24
2. 28
3. 31
4. 33

Explanation:

Pattern is , +5, +7, +9
Missing Number = 19+9 = 28

• 3. Complete the series, 1, 4, 9, 16, 25,....

1. 36
2. 38
3. 49
4. 52

Explanation:

Series Pattern is +3, +5, +7, +9.

So next number = 25+11 = 36

• 4. Complete the series 20, 19, 17, ...., 10, 5

1. 15
2. 16
3. 13
4. 14

Explanation:

Pattern is, -1, -2, ..,.. , -5

So -3 and -4 will fill the blanks to make it a pattern.

Next number will be 17-3 = 14

• 5. 6, 11, 21, 36, 56, ? what will replace the question mark in the series ?

1. 75
2. 81
3. 85
4. 89

Explanation:

Pattern is +5, +10, + 15, +20

Next number in the series will be 56 + 25 = 81

• 6. Complete the series 1,6,13,22,33,...

1. 46
2. 48
3. 49
4. 51

Explanation:

Pattern is +5, +7, +9, +11
So next number will be +13
=> 33+13 = 46

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

1. \begin{aligned} \frac{11}{32} \end{aligned}
2. \begin{aligned} \frac{9}{28} \end{aligned}
3. \begin{aligned} \frac{9}{30} \end{aligned}
4. \begin{aligned} \frac{9}{32} \end{aligned}

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}