Look at this series: 4, 7, 25, 10, __ , 20, 16, 19.
Which number should fill the blank?
13
15
20
28
In the first series, number increments by 3, and the number appears in the 1,2,4,5,7 positions. Series starts with 4. Numbers in this series are 4,7,10,13,16,19
In the second series, the number appears at a multiple of 3 positions. i.e. 3,6,9 ..and it decreases by 5. Starting with 25. So the numbers in this series are 25,20,15 etc.
Combining them together, series becomes 4,7,25,10,13,20,16,19
This kind of series is also known as skip number series and are at times confusing to solve but not very difficult.
Your answer is A.)13
Two series alternate here.
In the first series, 3 is added to each number to arrive at the next.
4, 7, 10 , __ , 16, 19
In the second series, 5 is subtracted from each number to arrive at the next.
25 , 20 ...
Your number is in the first series.
So you have to add 3 to 10
13
To find the missing number in the series, let's analyze the pattern:
The series alternates between two sections:
- The first section consists of the numbers 4, 25, __, and 16.
- The second section consists of the numbers 7, 10, 20, and 19.
In the first section, the pattern seems to be that each number is multiplied by the next number in the series:
4 * 7 = 28
25 * __ = 28
To find the missing number, we can divide 28 by 25:
28 / 25 = 1.12
So the missing number is approximately 1.12.
Now let's look at the second section:
7 + 3 = 10
10 * 2 = 20
20 - 1 = 19
It appears that the pattern in the second section is as follows:
7 + 3 = 10
10 * 2 = 20
20 - 1 = 19
Therefore, the missing number fits the pattern in the second section, and it should be the next number in the sequence:
19 + 3 = 22
So the missing number is 22.
Out of the given options, the number that should fill the blank is not provided. Please check again or provide the correct options.
To find the missing number in the series, let's analyze the pattern.
Looking at the given series: 4, 7, 25, 10, __, 20, 16, 19.
At first glance, there doesn't seem to be an obvious mathematical pattern. However, let's break down the series into smaller segments:
Segment 1: 4, 7
The difference between 7 and 4 is 3.
Segment 2: 25, 10
The difference between 10 and 25 is 15.
Segment 3: __, 20
The difference between 20 and the missing number is unknown.
Segment 4: 16, 19
The difference between 19 and 16 is 3.
Observing the differences between the numbers in each segment (3, 15, __, 3), we see that they are not following a consistent pattern. Therefore, we cannot determine the missing number based on a direct arithmetic progression.
Instead, let's consider other possible patterns or relationships between the numbers. Looking at the numbers individually, we can see that:
4 is a perfect square (2^2)
7 does not seem to follow any specific pattern
25 is a perfect square (5^2)
10 can be written as the sum of the digits of 25 (2 + 5 = 7)
20 does not seem to follow any specific pattern
16 is a perfect square (4^2)
19 can be written as the difference between 25 and 6 (25 - 6 = 19)
Based on the above observations, it seems that the missing number could be related to the concept of perfect squares. Therefore, let's check the options:
13 is not a perfect square
15 is not a perfect square
20 is a perfect square (4^2)
28 is not a perfect square
Out of the provided options, 20 is the only number that can be considered as a perfect square.
So, the number that should fill the blank in the series is 20.