Congratulations - you have completed Quiz- Arithmetic Progressions.
You scored %%SCORE%% out of %%TOTAL%%.
Your performance has been rated as %%RATING%%

Your answers are highlighted below.

Question 1

How many numbers in the series -16, -12, -8, -4, 0, 4, 8, .... we should take so that sum is 72?

A

15

B

11

C

12

D

9

Question 1 Explanation:

Answer is 11, quite simple.... the negative term and positive term till 16 will cancel. This is a series of 4 as -16,-12,-8,-4,0,4,8,12,16, 20,24, 28. The last 3 adds to 72

Question 2

What is 51^{st} term of an AP starting with 5 with common difference of 10?

A

405

B

505

C

515

D

415

Question 2 Explanation:

nth term = a +(n-1)d = 5+ 50x10 = 505

Question 3

What is the average of the 9 consecutive intergers starting with a + 2, if the average of 5 consecutive numbers is given as b?

A

b + 2

B

a + 4

C

b + 4

D

a + 2

Question 3 Explanation:

If take exmaple with numerical values. Avg. of 1 to 5 is 3. Hence if we take a = 1, b = 3. Now for interger starting with 1 +2 = 3, avg for 3,6,7,8,9,10,11,12,13 is Avg. is 7, hence avg. is b +4

Question 4

Sum of 5th and 11th term of an AP is 40. What is the sum of 15 terms of this AP?

A

250

B

150

C

300

D

200

Question 4 Explanation:

sum of 5th term and 11 term is (a+4d) +(a+10d) = 40. This is 2a+14d = 40, Sum of 15 terms (n/2)(2a + 14d). (15/2) x 40 = 300

Question 5

How many 3 digit positive integers exists when divded by 9 leave remain 5 as remainder?

A

99

B

101

C

100

D

110

Question 5 Explanation:

The lowest 3 digit number leaving remainder 5 when divided by 9 is 104. The largest number is 995. Hence now we have sum of AP progression with 1st term as 104 and common difference 9. Number of terms can be found as 995 = 104 +(n-1)9 , n= 100

Question 6

Assume there is an AP with 4 terms, the product of extremes is 88 and sum of means is 24, what is theĀ third term in AP?

A

22

B

32

C

12

D

14

Question 6 Explanation:

When ever the terms are not given always assume like the terms cancel each other. In this case we will assume a -3d, a -d, a+ d, a +3d. Hence the sum of the means = a -d +a + d = 24 or a =12.
Product of extremes give (a -3d)(a +3d) = a^2 - 9d^2 = 88, solving this give d =2. Hence the terms are 6, 10, 14, 18

Once you are finished, click the button below. Any items you have not completed will be marked incorrect.
Get Results

There are 6 questions to complete.

←

List

→

Return

Shaded items are complete.

1

2

3

4

5

6

End

Return

You have completed

questions

question

Your score is

Correct

Wrong

Partial-Credit

You have not finished your quiz. If you leave this page, your progress will be lost.

A big welcome, while this page load we request to kindly like us on any or all of social network of your choice. Once you like the page, you will be able to read the full page. Thanks for your kind support