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Arithmetic Progressions Class 10 Multiple Choice Test

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Arithmetic Progressions Class 10 (100501)


General Instruction:

1. There are 10 MCQ’s in the Test.

2. Passing %age is 50.

3. After time gets over, test will be submitted itself.

1 / 10

If a, b, c are in arithmetic progression, then the value of \(\frac{1}{a} + \frac{1}{c}\) is:

a) \(\frac{2}{b}\)

b) \(\frac{2}{c}\)

c) \(\frac{2}{a}\)

d) \(\frac{1}{b}\)

2 / 10

How do we apply arithmetic progression in solving daily life problems?

a) Calculating monthly expenses.

b) Determining the amount saved over time with fixed deposits.

c) Predicting future population growth.

d) All of the above.

3 / 10

How can we find the sum of the first ‘n’ terms of an arithmetic progression?

a) Using the formula \( S_n = \frac{n}{2} (2a + (n-1)d) \)

b) Adding all ‘n’ terms individually.

c) Multiplying the first and last terms by the number of terms and dividing by 2.

d) Subtracting the last term from the first term.

4 / 10

In an arithmetic progression, what happens when the common difference ‘d’ is negative?

a) The terms decrease by ‘d’ units as we move forward.

b) The terms increase by ‘d’ units as we move forward.

c) The terms remain constant.

d) The progression becomes irregular.

5 / 10

Which of the following situations is best represented by an arithmetic progression?

a) Growth of bacteria population.

b) Depreciation of car value.

c) Annual salary increment.

d) Fluctuating stock prices.

6 / 10

Which term of the arithmetic progression 3, 7, 11, 15, \(\ldots\) is 31?

a) 10th term

b) 11th term

c) 12th term

d) 13th term

7 / 10

The sum of first 20 terms of an arithmetic progression is 340. What is the 10th term if the first term is 5?

a) 25

b) 30

c) 35

d) 40

8 / 10

The sum of first n terms of an A.P. is \(3n^2 + 2n\). What is the nth term of the A.P.?

a) 3n

b) 6n + 2

c) 3n + 2

d) 6n

9 / 10

Which term of the arithmetic progression 3, 7, 11, 15, … is 31?

a) 10th term

b) 11th term

c) 12th term

d) 13th term

10 / 10

If the first term of an arithmetic progression is 8 and the 15th term is 68, what is the common difference?

a) 3

b) 4

c) 5

d) 6

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