# number series logical reasoning questions

In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much
1.

Look at this series: 2, 1, (1/2), (1/4), … What number should come next?
A.     (1/3)    B.     (1/8)
C.     (2/8)    D.     (1/16)

Explanation:

This is a simple division series; each number is one-half of the previous number.

In other terms to say, the number is divided by 2 successively to get the next result.

4/2 = 2
2/2 = 1
1/2 = 1/2
(1/2)/2 = 1/4
(1/4)/2 = 1/8 and so on.

2.

Look at this series: 7, 10, 8, 11, 9, 12, … What number should come next?
A.     7    B.     10
C.     12    D.     13

Explanation:

This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.
3.

Look at this series: 36, 34, 30, 28, 24, … What number should come next?
A.     20    B.     22
C.     23    D.     26

Explanation:

This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on.
4.

Look at this series: 22, 21, 23, 22, 24, 23, … What number should come next?
A.     22    B.     24
C.     25    D.     26

Explanation:

In this simple alternating subtraction and addition series; 1 is subtracted, then 2 is added, and so on.