How many three digit numbers divisible by 5 can be formed using any of the digits from 0 to 9 such that none of the digits can be repeated * A 136?
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Solutions for How many 3 digit number can be formed by 0, 2, 5, 3, 7 which is divisible by 5 and none of the digit is repeated.a)24b)36c)48d)60e)None of theseCorrect answer is option 'A'. 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 number can be formed by 0, 2, 5, 3, 7 which is divisible by 5 and none of the digit is repeated.a)24b)36c)48d)60e)None of theseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of How many 3 digit number can be formed by 0, 2, 5, 3, 7 which is divisible by 5 and none of the digit is repeated.a)24b)36c)48d)60e)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for How many 3 digit number can be formed by 0, 2, 5, 3, 7 which is divisible by 5 and none of the digit is repeated.a)24b)36c)48d)60e)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of How many 3 digit number can be formed by 0, 2, 5, 3, 7 which is divisible by 5 and none of the digit is repeated.a)24b)36c)48d)60e)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice How many 3 digit number can be formed by 0, 2, 5, 3, 7 which is divisible by 5 and none of the digit is repeated.a)24b)36c)48d)60e)None of theseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests. 3-digit numbers begin with 100 and end on 999. These numbers consist of 3 digits in which the first digit should be 1 or greater than 1 and the remaining 3 digits can be any number from 0 to 9. Learning 3-digit numbers is the building block for higher-digit numbers. Let us explore more about the importance, formation, and place value of numbers up to 3 digit.
What are 3-Digit Numbers?3-digit numbers are those numbers that consist of only 3 digits. They start from 100 and go on till 999. For example, 673, 104, 985 are 3-digit numbers. It is to be noted that the first digit of a three-digit number cannot be zero because in that case, it becomes a 2-digit number. For example, 045 becomes 45. Place Value of 3-Digit NumbersEvery three-digit number’s value can be found by checking the place value of each digit. Let us consider the number 243. The first digit at the rightmost position is said to be at units place, so it will be multiplied by 1. Hence, the product is 3 × 1 = 3. Then the second number is 4, and because it is attens place, it is multiplied by 10. The value, therefore, is 4 × 10 = 40. The third number 2 is at the hundreds place. So 2 is multiplied by 100 and its value is 2 × 100 = 200. Therefore the number is 200 + 40 + 3 = 243. Decomposing a 3-digit number: In a three-digit number, there are three place values used – hundreds, tens, and units. Let us take one example to understand it better. Here, 465 is a three-digit number and it is decomposed in the form of a sum of three numbers. As 5 is on the units place, 60 is on the tens place and 400 is on the hundreds place. Significance of Zero in 3-digit numbers: The number zero does not make any contribution to a 3-digit number if it is placed in a position where there are no other non-zero numbers to its left. So how is 303 different from 033 or even 003? In 033, the values are (0 × 100) + (3 × 10) + (3 × 1) = 0 + 30 + 3= 33 which means that the number actually becomes a 2-digit number, i.e., 33, or in the case of 003, it becomes a single-digit number, i.e., 3. In these two examples, the zero does not contribute any value to the number, so the numbers can be expressed as 33 or 3 as well. Expanded Form of 3-Digit NumbersThe expanded form of a 3-digit number can be expressed and written in three different ways. Consider a three-digit number 457. The number 457 can be written in one form as 457 = (4 × hundreds) + (5 × tens) + (7 × ones). In the second way, the number 457 can be written as 457 = (4 × 100) + (5 × 10) + (7 × 1). And finally the number 457 can be expanded in the form as 457 = 400 + 50 + 7. All the three ways of writing numbers in the expanded form are correct. Writing a 3-digit number in the expanded form helps to know the constituents of the number. Basically splitting or expanding a 3-digit number helps us to understand more about the 3-digit number. By splitting we know the number of hundreds, tens, and units available in the 3-digit number. Important Notes on 3-digit Numbers
Common Mistakes of Numbers up to 3-DigitsSome of the common mistakes are observed while writing or reading a 3-digit number. These mistake in reading and interpreting a 3-digit number is often understood as some other number. In the process of reading, writing, and interpreting a 3-digit number, the place value of the digits should be rightly interpreted. Here we have listed below the three common mistakes often committed by children in writing three-digit numbers.
Operations on Numbers up to 3-DigitsThe four arithmetic operations of addition, subtraction, multiplication, and division can be conveniently performed across 3-digit numbers. In the process of performing these arithmetic operations, the place value of the corresponding number should be rightly matched. An error in matching the place value could result in wrong answers. Here we shall look at a simple activity using 3 digit numbers, to help us understand the changing pattern in each of the digits of the hundredth place, ten's place, and unit's place. This activity shall help in a better understanding of the learning needed for the 3 digit numbers.
Smallest 3-Digit NumberThe smallest 3-digit number is 100 because its predecessor is 99 which is a two-digit number. 3-digit numbers start from 100 and end on 999. Greatest 3-Digit NumberThe greatest 3-digit number is 999 because its successor is 1000 which is a four-digit number. 3-digit numbers start from 100 and end on 999. ☛ Related Articles
FAQs on Numbers up to 3-digitsHow Many 3-Digit Numbers are there?There are a total of 900 three-digit numbers. These include the smallest 3 digit number - 100 to the largest 3 digit number - 999. The numbers beyond these 3-digit numbers are the 4-digit numbers, and the numbers less than the 3-digit numbers are 2-digit numbers. Which is the Largest 3 Digit Number?The largest 3-digit number is 999. Adding 1 more to it will make it a 4-digit number, that is, 1000. What is the Sum of the Three Largest 3 Digit Numbers?The three largest 3-digit numbers are 997, 998, 999. Their sum is 2994 as 997 +998 +999 = 2994. What is the Smallest 3-Digit Number?The number 100 is the smallest 3-digit number. Subtracting 1 from it makes it a 2-digit number. There are a total of 900 three-digit numbers, of which the number 100 is the smallest 3-digit number. How Many Even 3-Digit Numbers are there?There are a total of 900 3-digit numbers. Of these half of them are even numbers and the remaining half are odd numbers. Hence there are 900/2 = 450 even 3-digit numbers. Can a 3-Digit Number have Two Zeros?A 3-digit number can have two zeros. The two zeros should be in the tens place and the units place. Some of the examples of 3-digit numbers with two zeros are 100, 200, 300, and 400. It should be noted that the hundreds place in a 3-digit number cannot have the number 0 because that will make it a 2-digit number. For example, 098 becomes 98. Which is the Smallest 3 Digit Number Divisible by 4?The smallest 3-digit number is 100 and we know that it is divisible by 4 because 100/4 = 25. Therefore, we can say that 100 is the smallest 3-digit number which is divisible by 4. Which 3 Digit Number has the Most Factors?The 3-digit number that has the most factors is 840. The factors of 840 can be listed as, 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420 and 840. How many 3Divisible by 5 is possible only when unit digit will be either 0 or 5, means possibility for unit digit is 2. And possible number of choices for third place digit is 5 (except 0). And possible number of choices for tenth place digit is 6 (all). So, total possible such numbers are =5×6×2=60 (answer).
How many 3Hence there are 180 three digit numbers divisible by 5.
How many 5 digit numbers that are divisible by 3 can be formed using the digits 0?3125 [Hint:5 digit numbers can be formed using digits 0, 1, 2, 4, 5 or by using digits 1, 2, 3, 4, 5 since sum of digits in these cases is divisible by 3.] A five digit number divisible by 3 is to be formed using the numbers 0, 1, 2, 3, 4 and 5 without repetitions. The total number of ways this can be done is A. 216 B.
How many 3∴ Required number of numbers = (1 x 5 x 4) = 20.
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