# Number Series (Part-2):

#### Overview:

 Topic Included: Definitions & Exmaples. Main Topic: Verbal Reasoning. Verbal Reasoning Sub-topic: Number Series Notes and Questions. Questions for practice: Questions & Answers included.

Multiplication Series: In this type of series, a number is multiplied with the previous element to get the next element. The number which is multiplied can be the same for the whole series or in the increasing order.

Example(1): What will come in the place of question mark (?) in the given series?

2, 4, 8, 16, ?

Answer: Here the previous number is multiplied by 2 to get the next number in every term. $$2 \overset{\times 2}{\longrightarrow}\ 4 \overset{\times 2}{\longrightarrow}\ 8 \overset{\times 2}{\longrightarrow}\ 16 \\ \overset{\times 2}{\longrightarrow}\ \boxed{32}$$

Example(2): What will come in the place of question mark (?) in the given series?

2, 2, 4, 12, ?

Answer: In this series, the numbers 1, 2, 3, and 4 are multiplied to the previous element respectively, to get the next element in the increasing order. $$2 \overset{\times 1}{\longrightarrow}\ 2 \overset{\times 2}{\longrightarrow}\ 4 \overset{\times 3}{\longrightarrow}\ 12 \\ \overset{\times 4}{\longrightarrow}\ \boxed{48}$$

Division Series: In this type of series, the previous element is divided by a number to get the next element. The number which is divided can be the same for the whole series or in the increasing order.

Example(1): What will come in the place of question mark (?) in the given series?

72, 36, 18, 9, ?

Answer: In this series, the previous element is divided by number 2 to get the next one. $$72 \overset{\div 2}{\longrightarrow}\ 36 \overset{\div 2}{\longrightarrow}\ 18 \overset{\div 2}{\longrightarrow}\ 9 \\ \overset{\div 2}{\longrightarrow}\ \boxed{4.5}$$

Example(2): What will come in the place of question mark (?) in the given series?

600, 300, 100, 25, ?

Answer: In this series, the previous element is divided by the numbers 2, 3, 4, and 5 respectively, to get the next element in the increasing order. $$600 \overset{\div 2}{\longrightarrow}\ 300 \overset{\div 3}{\longrightarrow}\ 100 \overset{\div 4}{\longrightarrow}\ 25 \\ \overset{\div 5}{\longrightarrow}\ \boxed{5}$$