All questions of Ascending and Descending Order for Judiciary Exams Exam

The given series is formed by squaring consecutive natural numbers (1, 2, 3, 4, ...). So, the next number in the series is 5^2 = 25.

The given series is an arithmetic progression (AP), where each term increases by a constant value known as the common difference. In this case, the common difference is 5 - 3 = 2. So, the correct choice is Option D.

Adding each number to the previous term is a characteristic of an increasing series. In an increasing series, each term is obtained by adding a constant difference to the previous term. Let's analyze the given series step by step to understand why it belongs to an increasing series.

Step 1: 17
The first term of the series is 17.

Step 2: 17 + 5 = 22
To obtain the second term, we add 5 to the previous term (17).

Step 3: 22 + 10 = 32
To obtain the third term, we add 10 to the previous term (22).

Step 4: 32 + 15 = 47
To obtain the fourth term, we add 15 to the previous term (32).

We can observe that each term is obtained by adding a constant difference to the previous term. In this case, the constant difference is increasing by 5 each time (5, 10, 15). Therefore, the series is an increasing series.

Explanation of Other Options:
a) Geometric Progression (GP): In a geometric progression, each term is obtained by multiplying a constant ratio to the previous term, not by adding a constant difference. Therefore, this series does not follow the pattern of a geometric progression.
b) Fibonacci Series: In a Fibonacci series, each term is obtained by adding the two previous terms, not by adding a constant difference to the previous term. Therefore, this series does not follow the pattern of a Fibonacci series.
c) Odd Numbers Series: In an odd numbers series, each term is an odd number, but the terms are not obtained by adding a constant difference to the previous term. Therefore, this series does not follow the pattern of an odd numbers series.

Conclusion:
The given series, 17, 22, 32, 47, ..., forms an increasing series as each term is obtained by adding a constant difference (5, 10, 15) to the previous term.

To find the next number in the given series, let's analyze the given numbers:

1, 1, 2, 3, 5, ...

The series appears to follow the Fibonacci sequence, where each number is the sum of the two preceding numbers. Let's break it down step by step:

1. First Number: The series starts with 1.
2. Second Number: The second number is also 1.
3. Third Number: To get the third number, we add the first and second numbers, which gives us 1 + 1 = 2.
4. Fourth Number: To find the fourth number, we add the second and third numbers, which gives us 1 + 2 = 3.
5. Fifth Number: To find the fifth number, we add the third and fourth numbers, which gives us 2 + 3 = 5.

Following this pattern, we can find the next number in the series:

6. Sixth Number: To find the sixth number, we add the fourth and fifth numbers, which gives us 3 + 5 = 8.

Hence, the next number in the series is 8.

Therefore, the correct answer is option 'C' (13)

The series 2, 4, 8, 16,... is a geometric progression (GP) where each term is obtained by multiplying the previous term by a constant value (in this case, 2). So, the correct choice is Option A.

Prime numbers are numbers that have only two divisors, 1 and the number itself. They do not have any other divisors. So, the correct choice is Option C.

In a geometric progression (GP), each term is obtained by multiplying the previous term by a constant value (common ratio, denoted as 'r'). Therefore, the correct choice is Option C.

The series 100, 97, 92, 85,... is formed by subtracting a number (odd numbers starting from 3) from each successive term. This type of series is known as a decreasing series. So, the correct choice is Option B.