Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Section - B
The total number of 4-digit numbers whose greatest common divisor with 18 is 3, is
Text Solution
Verified by ExpertsThe correct answer is:
1000
(1000) Since, required number has G.C.D with 18 as 3 . It must be odd multiple of ' 3 ' but not a multiple of ' 9 '.
(i) Now, 4-digit number which are odd multiple of ' 3 ' are,

(ii) 4-digit number which are odd multiple of 9 are, 1017,1035, ............ 
Required numbers 
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
PART-I PHYSICS
SECTION-A
A tuning fork of unknown frequency produces 5 beats/s with a fork of know…
The trajectory a projectile in a vertical plane is , where and are constants and are respectiv…
A cord is wound round the circumference of wheel of radius . The axis of the wheel is horizontal a…
Find the peak current and resonant frequency of the following circuit (as shown in figure)
The incident ray, reflected ray and the outward drawn normal are denoted by the unit vectors and …
A radioactive sample is undergoing decay. At any time , its activity is and another time , the …