Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Book Online Demo
Check Your IQ
Try Test

Courses

Dropper NEET CourseDropper JEE CourseClass - 12 NEET CourseClass - 12 JEE CourseClass - 11 NEET CourseClass - 11 JEE CourseClass - 10 Foundation NEET CourseClass - 10 Foundation JEE CourseClass - 10 CBSE CourseClass - 9 Foundation NEET CourseClass - 9 Foundation JEE CourseClass -9 CBSE CourseClass - 8 CBSE CourseClass - 7 CBSE CourseClass - 6 CBSE Course
Offline Centres

Q.

If the sum of the integers between 100 and 200 that are divisible by 9 is 1683. Then the  sum of the integers between 100 and 200 that are not divisible by 9 is[[1]].


see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

If the sum of the integers between 100 and 200 that are divisible by 9 is 1683. Then the  sum of the integers between 100 and 200 that are not divisible by 9 is 13167.
Given, the sum of the integers between 100 and 200 that are divisible by 9 is 1683.
Thus, the integers are 101,102,103.....199 .
Using 101= a, 1 = d and 199 = a n   in the equation,
  a n = a+ n−1 d  .
199=101+ n−1 1 n−1 1=98 n=99  .
The sum of the integers not divisible by 9 are,
S n = n 2 2a+ n−1 d  .
By putting the values of a, d and n,
S 99 = 99 2 2 101 + 99−1 1 S 99 = 99 2 202+98 S 99 = 99 2 300 S 99 =14850  .
So, the sum of integers between 100-200 not divisible by 9 will be,
S= S 99 − S 11 S=14850−1683 S=13167  .
Therefore, the sum of integers between 100-200 that is not divisible by 9 is 13167.
 
Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th
whats app icon