Arithmetic Progressions Practice 3: Applications and Reasoning

Section A: Word Problems

Question 1mcq

Riya saves ₹

100

in week

1

and increases her saving by ₹

20

each week. How much does she save in week

8

?

A.₹

220

B.₹

240

C.₹

260

D.₹

280

Question 2mcq

A shopkeeper pays ₹

500

in the first installment and ₹

50

more each month. What is the total paid in

6

months?

A.₹

3450

B.₹

3650

C.₹

3750

D.₹

3900

Question 3mcq

An auditorium has

18

seats in the first row,

22

in the second row,

26

in the third row, and so on. How many seats are in the

10

th row?

A.

50

B.

54

C.

58

D.

62

Question 4mcq

Rows in a garden have

6, 10, 14, \ldots

plants. How many plants are in the first

12

rows?

A.

312

B.

324

C.

336

D.

348

Question 5mcq

A runner runs

2

km on day

1

and increases the distance by

0.5

km each day. How far does she run on day

9

?

A.

5

km

B.

5.5

km

C.

6

km

D.

6.5

km

Section B: Reason and Verify

Question 6mcq

A person walks

1

km on Monday,

1.5

km on Tuesday,

2

km on Wednesday, and continues this pattern for

7

days. What is the total distance?

A.

15.5

km

B.

16

km

C.

17.5

km

D.

19

km

Question 7mcq

Insert three arithmetic means between

4

and

20

.

A.

8,12,16

B.

7,11,15

C.

6,10,14

D.

9,13,17

Question 8mcq

Which number is a common term of the APs

3,7,11,\ldots

and

5,11,17,\ldots

?

A.

7

B.

11

C.

13

D.

15

Question 9mcq

A student finds the

6

th term of

9, 6, 3, \ldots

as

-3

. Which quick pattern check is best?

A.Count terms:

9,6,3,0,-3,-6

B.Multiply

9

by

6

C.Add all terms first

D.Use only the last term formula

Question 10mcq

A student claims the sum of

5,10,15,20

is

60

. Which check is most direct?

A.Pair terms:

(5+20)+(10+15)

B.Find the product of first and last terms

C.Square the common difference

D.Ignore the first term