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

Q.

How many 3-digit numbers are divisible by 6 in all?


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

 149

b

 150

c

 151

d

 166 

answer is B.

(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: We must determine the smallest and greatest 3-digit numbers that are divisible by 6 in order to determine the answer. In the formula, substitute the determined smallest and biggest 3-digit number values to determine the number of 3-digit numbers that are divisible by 6.
100 is the smallest 3-digit number.
999 is the largest 3-digit number.
102 is the smallest 3-digit number that can be divided by 6.
996 is the biggest 3-digit number that can be divided by 6.
Since a and b are multiples of n and a > b, we know that the number of numbers between 'a' and 'b' that are divisible by n is equal to Question Image.
When compared to the data obtained, we obtain
a has a value of 996.
b has a value of 102.
n has a value of 6.
When we change the values in the provided equation, we obtain
The number between 996 and 102 that may be divided by 6 equals
Question ImageThere are 150 3-digit numbers that can be divided by 6.
Hence, the correct option is 2.
 
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