Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6

Q.

Find the greatest number of 6 digits numbers exactly divisible by 24, 15 and 36..


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

a

999720

b

11256

c

25452

d

None of these.

answer is A.

(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

Concept: To solve this problem, you need to find the numerical LCM, divide it, and see if there is any remainder left. Then subtract the  remainder from the maximum number to get the answer.
If the number is divisible by 24, 15, 36, then the number should be divisible by the common multiple of 24, 15, 36, so we know that the LCM of 24, 15, 36 is 360. Currently, the maximum 6 digit number is 999999.
By doing now Question Image You will receive a reminder 279.
So if you divide a 6-digit number  exactly  by 24, 15, and 36, you can calculate:
Question Image999720 is the biggest 6-digit variety divisible with the aid of using 24, 15, and 36.
Therefore, the answer is Question ImageHence, the correct answer is option 1) 999720
 
Watch 3-min video & get full concept clarity

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!

whats app icon