Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

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


see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya

a

 149

b

 150

c

 151

d

 166 

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

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
score_test_img

courses

No courses found

Ready to Test Your Skills?

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

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

  • promsvg

    live classes

  • promsvg

    progress tracking

  • promsvg

    24x7 mentored guidance

  • promsvg

    study plan analysis

download the app

gplay
mentor

Download the App

gplay
whats app icon
personalised 1:1 online tutoring