# Number Series: Exercise-3

#### Overview:

 Questions and Answers Type: MCQ (Multiple Choice Questions). Main Topic: Verbal Reasoning. Verbal Reasoning Sub-topic: Number Series Questions and Answers. Number of Questions: 10 Questions with Solutions.

Directions: What should come in place of the question mark (?) in the following number series?

1. 3, 2, 3, 8, ?

1. 21
2. 28
3. 30
4. 31

Solution: Follow the sequence given below. $$3 \overset{\times 1 -1}{\longrightarrow}\ 2 \overset{\times 2 -1}{\longrightarrow}\ 3 \overset{\times 3 -1}{\longrightarrow}\ 8 \overset{\times 4 -1}{\longrightarrow}\ \boxed{31}$$

1. 2, 6, 14, 30, ?

1. 120
2. 122
3. 126
4. 128

Solution: Follow the sequence given below. $$2 \overset{\times 2 +2}{\longrightarrow}\ 6 \overset{\times 2 +2}{\longrightarrow}\ 14 \overset{\times 2 +2}{\longrightarrow}\ \\ 30 \overset{\times 2 +2}{\longrightarrow}\ 62 \overset{\times 2 +2}{\longrightarrow}\ \boxed{126}$$

1. 36, 34, 30, 28, 24, ?

1. 22
2. 28
3. 32
4. 33

Solution: Follow the sequence given below. $$36 \overset{-2}{\longrightarrow}\ 34 \overset{-4}{\longrightarrow}\ 30 \overset{-2}{\longrightarrow}\ \\ 28 \overset{-4}{\longrightarrow}\ 24 \overset{-2}{\longrightarrow}\ \boxed{22}$$

1. 5, 5, 10, 30, 120, ?

1. 300
2. 320
3. 560
4. 600

Solution: Follow the sequence given below. $$5 \overset{\times 1}{\longrightarrow}\ 5 \overset{\times 2}{\longrightarrow}\ 10 \overset{\times 3}{\longrightarrow}\ \\ 30 \overset{\times 4}{\longrightarrow}\ 120 \overset{\times 5}{\longrightarrow}\ \boxed{600}$$

1. 4, 8, 16, 32, 64, ?

1. 86
2. 112
3. 122
4. 128

Solution: Follow the sequence given below. $$4 \overset{\times 2}{\longrightarrow}\ 8 \overset{\times 2}{\longrightarrow}\ 16 \overset{\times 2}{\longrightarrow}\ \\ 32 \overset{\times 2}{\longrightarrow}\ 64 \overset{\times 2}{\longrightarrow}\ \boxed{128}$$

1. 4, 6, 15, 49, ?

1. 136
2. 168
3. 201
4. 224

Solution: Follow the sequence given below. $$4 \overset{\times 1 +2}{\longrightarrow}\ 6 \overset{\times 2 +3}{\longrightarrow}\ 15 \overset{\times 3 +4}{\longrightarrow}\ 49 \overset{\times 4 +5}{\longrightarrow}\ \boxed{201}$$

1. 7, 12, 19, 28, ?

1. 32
2. 38
3. 39
4. 47

Solution: Follow the sequence given below. $$7 \overset{+5}{\longrightarrow}\ 12 \overset{+7}{\longrightarrow}\ 19 \overset{+9}{\longrightarrow}\ 28 \overset{+11}{\longrightarrow}\ \boxed{39}$$

1. 36, 20, 12, 8, ?

1. 7
2. 6
3. 5
4. 4

Solution: Follow the sequence given below. $$36 \overset{\times 0.5 +2}{\longrightarrow}\ 20 \overset{\times 0.5 +2}{\longrightarrow}\ 12 \overset{\times 0.5 +2}{\longrightarrow}\ 8 \overset{\times 0.5 +2}{\longrightarrow}\ \boxed{6}$$

1. 1, 3, 8, 26, ?

1. 102
2. 106
3. 110
4. 112

Solution: Follow the sequence given below. $$1 \overset{\times 1 +2}{\longrightarrow}\ 3 \overset{\times 2 +2}{\longrightarrow}\ 8 \overset{\times 3 +2}{\longrightarrow}\ 26 \overset{\times 4 +2}{\longrightarrow}\ \boxed{106}$$

1. 113, 225, 449, ?, 1793.

1. 865
2. 887
3. 892
4. 897

Solution: Follow the sequence given below. $$113 \overset{\times 2 -1}{\longrightarrow}\ 225 \overset{\times 2 -1}{\longrightarrow}\ 449 \overset{\times 2 -1}{\longrightarrow}\ \boxed{897} \\ \overset{\times 2 -1}{\longrightarrow}\ 1793$$