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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

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

2 / 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.

3 / 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.

4 / 10

The sum of the first n terms of an arithmetic progression is 340. If the first term is 5, what is the 10th term?

a) 25

b) 30

c) 35

d) 40

5 / 10

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

a) Calculating the average age of a group.

b) Determining the total distance traveled by a moving object.

c) Finding the number of years required to repay a loan.

d) All of the above.

6 / 10

Which formula represents the nth term of an arithmetic progression?

a) \( a_n = a + (n-1)d \)

b) \( a_n = a + nd \)

c) \( a_n = a \times d^{n-1} \)

d) \( a_n = a \times d^n \)

7 / 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

8 / 10

What does ‘a’ represent in the nth term formula of an A.P.?

a) The common difference.

b) The first term.

c) The last term.

d) The number of terms.

9 / 10

In an arithmetic progression, if the sum of the first 10 terms is 120, what is the sum of the next 10 terms?

a) 240

b) 260

c) 280

d) 300

10 / 10

What is the sum of all the terms from 10 to 90 in an arithmetic progression where the first term is 5 and the common difference is 3?

a) 3000

b) 3100

c) 3200

d) 3300

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