Ascending and Descending Order Test-1

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Ascending and Descending Order Test-1

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Question 1
1 / -0.25

Which type of series is characterized by a common ratio and is of the form a, ar, ar² , ar³ , ...?

A
Geometric progression (GP)

B
Arithmetic progression (AP)

C
Odd numbers series

D
Even numbers series

Solution

A geometric progression (GP) is a series where each term is multiplied successively by a number in order to obtain the next term. The quotient of two consecutive terms is always the same and is known as the common ratio (r). For example, the series 2, 6, 18, 54,... is a geometric progression with a common ratio of 3 (each term is obtained by multiplying the previous term by 3). This is different from an arithmetic progression (AP), where each term is obtained by adding a constant value to the previous term.
Question 2
1 / -0.25

What is the next number in the series 1, 4, 9, 16, ...?

A
A. 25

B
B. 20

C
C. 24

D
D. 18

Solution

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.
Question 3
1 / -0.25

In which type of series is each term obtained by dividing the previous term by a constant value?

A
A. Increasing series

B
B. Decreasing series

C
C. Geometric progression (GP)

D
D. Odd numbers series

Solution

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.
Question 4
1 / -0.25

What is the common difference in the series 3, 8, 13, 18, ...?

A
4

B
5

C
3

D
2

Solution

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 8 - 3 = 5. So, the correct choice is Option B.
Question 5
1 / -0.25

Which series consists of numbers that have only two divisors, 1 and the number itself?

A
A. Arithmetic progression (AP)

B
B. Geometric progression (GP)

C
C. Prime Number Series

D
D. Fibonacci Series

Solution

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.
Question 6
1 / -0.25

Which series is formed by adding each number to the previous term, such as 17, 22, 32, 47, ...?

A
A. Geometric progression (GP)

B
B. Fibonacci Series

C
C. Odd numbers series

D
D. Increasing series

Solution

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.
Question 7
1 / -0.25

What is the next number in the series 1, 1, 2, 3, 5, ...?

A
A. 8

B
B. 10

C
C. 13

D
D. 7

Solution

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.
Question 8
1 / -0.25

Which series is formed by subtracting a number from successive terms, like 100, 97, 92, 85, ...?

A
A. Geometric progression (GP)

B
B. Decreasing series

C
C. Even numbers series

D
D. Prime Number Series

Solution

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.
Question 9
1 / -0.25

Which series is formed by multiplying each term by a constant value, such as 2, 4, 8, 16, ...?

A
A. Geometric progression (GP)

B
B. Arithmetic progression (AP)

C
C. Odd numbers series

D
D. Decreasing series

Solution

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.
Question 10
1 / -0.25

What is the first term in the arithmetic progression (AP) with a common difference of 4 and the 7th term equal to 27?

A
3

B
5

C
4

D
2

Solution

In an arithmetic progression (AP), the n-th term is given by [a + (n - 1)d]. Here, the 7th term is 27, and the common difference (d) is 4. We can find the first term (a) by rearranging the formula: a = 27 - (7 - 1) * 4 = 27 - 6 * 4 = 27 - 24 = 3. So, the correct choice is Option A.

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Ascending and Descending Order Test-1

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Ascending and Descending Order Test-1

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Question 1

Geometric progression (GP)

Arithmetic progression (AP)

Odd numbers series

Even numbers series

Solution

Question 2

A. 25

B. 20

C. 24

D. 18

Solution

Question 3

A. Increasing series

B. Decreasing series

C. Geometric progression (GP)

D. Odd numbers series

Solution

Question 4

4

5

3

2

Solution

Question 5

A. Arithmetic progression (AP)

B. Geometric progression (GP)

C. Prime Number Series

D. Fibonacci Series

Solution

Question 6

A. Geometric progression (GP)

B. Fibonacci Series

C. Odd numbers series

D. Increasing series

Solution

Question 7

A. 8

B. 10

C. 13

D. 7

Solution

Question 8

A. Geometric progression (GP)

B. Decreasing series

C. Even numbers series

D. Prime Number Series

Solution

Question 9

A. Geometric progression (GP)

B. Arithmetic progression (AP)

C. Odd numbers series

D. Decreasing series

Solution

Question 10

3

5

4

2

Solution

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