All questions of Ascending and Descending Order for CLAT 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 a Fibonacci Series, where each number is the sum of the two preceding numbers. So, to find the next number, add the last two numbers: 5 + 8 = 13.

Common Difference in the Series 3, 8, 13, 18, ...

The series given is: 3, 8, 13, 18, ...


Finding the Common Difference:

To find the common difference in an arithmetic sequence, we subtract the previous term from the next term. Let's do this for the given series:


- The difference between 8 and 3 is 5.
- The difference between 13 and 8 is 5.
- The difference between 18 and 13 is 5.

Since the difference between each pair of consecutive terms is the same, the common difference in the series is 5.


Conclusion:

The common difference in the series 3, 8, 13, 18, ... is 5. Therefore, the correct answer is option B) 5.

Understanding Arithmetic Progression (AP)
An arithmetic progression (AP) is a sequence of numbers where each term after the first is obtained by adding a constant difference to the previous term.
Given Information
- Common difference (d) = 4
- 7th term (T7) = 27
Formula for the nth term
The nth term of an AP can be calculated using the formula:
Tn = a + (n - 1)d
Where:
- Tn is the nth term,
- a is the first term,
- d is the common difference,
- n is the term number.
Finding the First Term
For the 7th term:
T7 = a + (7 - 1) * d
Plugging in the known values:
27 = a + (6 * 4)
This simplifies to:
27 = a + 24
Now, isolate 'a':
a = 27 - 24
b) a = 3
Conclusion
The first term of the arithmetic progression is 3. Therefore, the correct answer is option 'A'.

The series 17, 22, 32, 47,... is formed by adding a number to the previous term (each term increases by a multiple of 5). This type of series is known as an increasing series. So, the correct choice is Option D.

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.

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 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.