Quant Exam  >  Quant Questions  >  How many 3 digit numbers are divisible by 4?a... Start Learning for Free
How many 3 digit numbers are divisible by 4?
  • a)
    256
  • b)
    225
  • c)
    198
  • d)
    252
  • e)
    120
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
How many 3 digit numbers are divisible by 4?a)256b)225c)198d)252e)120C...
B) 225
Explanation: A number is divisible by 4 when its last two digits are divisible by 4 For this the numbers should have their last two digits as 00, 04, 08, 12, 16, … 96 By the formula, a = a + (n-1)d 96 = 0 + (n-1)*4 n = 25 so there are 25 choices for last 2 digits and 9 choices (1-9) for the 1st digit so total 9*25
Free Test
Community Answer
How many 3 digit numbers are divisible by 4?a)256b)225c)198d)252e)120C...
To find the number of 3-digit numbers divisible by 4, we need to consider the divisibility rule of 4. A number is divisible by 4 if the last two digits of the number are divisible by 4.

Let's analyze the possible values for the last two digits of a 3-digit number.

- The first digit can be any number from 1 to 9 (excluding 0) since a 3-digit number cannot start with 0.
- The second digit can be any number from 0 to 9, as there are no restrictions.

Now, we need to determine the number of possible pairs of two digits that are divisible by 4.

- To have a two-digit number divisible by 4, the last two digits can be the following possibilities: 04, 08, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96.
- There are 24 possible pairs.

Next, we need to consider the first digit. Since it cannot be zero, there are 9 possible values for the first digit.

To find the total number of 3-digit numbers divisible by 4, we multiply the number of possibilities for each digit:

9 (possible values for the first digit) * 10 (possible values for the second digit) * 24 (possible pairs of two digits) = 2160

However, we need to consider that some of these numbers may have repeating digits or zeroes. Therefore, we need to eliminate these cases.

- If the second digit is zero, the first digit can be any number from 1 to 9, giving us 9 possibilities.
- If there is a repeating digit, the second digit can be any number from 0 to 9 (excluding the repeating digit), giving us 9 possibilities.
- If there are two repeating digits, the second digit can be any number from 0 to 9 (excluding the repeating digits), giving us 8 possibilities.

So, the final number of 3-digit numbers divisible by 4 is:

2160 - 9 (numbers with a zero as the second digit) - 9 (numbers with repeating digits) - 8 (numbers with two repeating digits) = 2134

Since none of the given options matches the calculated value, it seems there might be an error in the options provided.
Explore Courses for Quant exam
How many 3 digit numbers are divisible by 4?a)256b)225c)198d)252e)120Correct answer is option 'B'. Can you explain this answer?
Question Description
How many 3 digit numbers are divisible by 4?a)256b)225c)198d)252e)120Correct answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about How many 3 digit numbers are divisible by 4?a)256b)225c)198d)252e)120Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many 3 digit numbers are divisible by 4?a)256b)225c)198d)252e)120Correct answer is option 'B'. Can you explain this answer?.
Solutions for How many 3 digit numbers are divisible by 4?a)256b)225c)198d)252e)120Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant. Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of How many 3 digit numbers are divisible by 4?a)256b)225c)198d)252e)120Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of How many 3 digit numbers are divisible by 4?a)256b)225c)198d)252e)120Correct answer is option 'B'. Can you explain this answer?, a detailed solution for How many 3 digit numbers are divisible by 4?a)256b)225c)198d)252e)120Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of How many 3 digit numbers are divisible by 4?a)256b)225c)198d)252e)120Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice How many 3 digit numbers are divisible by 4?a)256b)225c)198d)252e)120Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
Explore Courses for Quant exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev