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What is the least four digit number when divided by 3 4 5 and 6 leaves a remainder 2 in each case?

Posted on December 23, 2022 by Author

Table of Contents

  • 1 What is the least four digit number when divided by 3 4 5 and 6 leaves a remainder 2 in each case?
  • 2 What is the sum of all 4 digit numbers which can be formed using the digits 1 2 4 and 5 exactly once?
  • 3 What is the least four digit number when?
  • 4 How many 4 digit numbers are there which are divisible by 2?
  • 5 What is the sum of all 4-digit numbers that can be formed using the digits 1 2 3 4?
  • 6 What is the sum of all 4-digit numbers which can be formed using the digits 1 2 3 and 4 without repetition?
  • 7 What is the first 9500 number that is divisible by 3?
  • 8 What is the smallest 4 digit number that is divisible 60?
  • 9 What is a 3 digit number that is divisible by 15?

What is the least four digit number when divided by 3 4 5 and 6 leaves a remainder 2 in each case?

∴ The answer is 1022.

What is the sum of all 4 digit numbers which can be formed using the digits 1 2 4 and 5 exactly once?

Four digit numbers =4⋅3⋅2⋅1=24 ways we can form a four digit number. Since it’s a 4 digit number, each digit will appear 6=24/4 times in each of units, tens, hundreds, and thousands place. Therefore, the sum of digits in the units place is 6(1+2+5+6)=84.

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What is the least four digit number when?

The smallest 4-digit number is 1,000 and the largest 4-digit number is 9,999, and there are a total of 9000 numbers from 1000 to 9999. We can make many four-digit numbers by using digits from 0 to 9 but we need to remember that the thousands place in a 4-digit number should not be 0.

What is the least four digit number?

1000
Smallest four digit number in the number system = 1000 Hence, it is proved that 1000 is the smallest four-digit number.

Which is the smallest 4 digit number divisible by both 3 and 2?

AS ,IT IS DIVISIBLE BY BOTH 2 AND 3 SO 1002 IS THE ANSWER …

How many 4 digit numbers are there which are divisible by 2?

To count the ones divisibe by 2 , we must find the length of the list 1000 , 1002 , 1004 , . . . . , 9996 , 9998 . Dividing each number in the thist list by 2 gives a new list of the same length 500 , 501 , 502 , . . . , 4998 , 4999 . Thus there are 4999 – 500 + 1 = 4500 , 4 – digit numbers divisible by 2 .

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What is the sum of all 4-digit numbers that can be formed using the digits 1 2 3 4?

Sum of all digits in each place = 64 ( 1+2+3+4 ) = 640.

What is the sum of all 4-digit numbers which can be formed using the digits 1 2 3 and 4 without repetition?

So the sum would be 64*(1+2+3+4)+64*10*(1+2+3+4)+64*100*(1+2+3+4)+64*1000*(1+2+3+4)=64*10*(1+10+100+1000)=711040.

What is the least three digit number when divided by 3/4 and 5 leaves a remainder 2 in each case?

Since, the LCM of 3,4 and 5 is 2 × 2× 3 × 5 = 60. ∴ The required number is 6 is the least number which when divided by 3, 4 and 5 leaves remainder 2 in each case.

How to divide 3 digit numbers by 4 and 5?

A three digit number (or more) is divided by 4 when the last 2 digits for a number that is divided by 4 (32/4=8 34532/4=8633). A number is divided by 5 when it’s last digit is 0 or 5. So if you say that the first 2 digit of the number you are looking for are 95_ _ this means that the c

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What is the first 9500 number that is divisible by 3?

9500 isn’t divisible by 6, so working up one number at a time, 9504 is the first number in the 9500’s which is divisible by 3. I wrote down a 4-digit number that was divisible by 3, 4, 5 and 6, but I spilt a cup of tea on it and can only see the first two digits.

What is the smallest 4 digit number that is divisible 60?

The number divisible by 2,3,4,5 and 6 has to be divisible by their LCM which is 60. Now the smallest 4 digit number is 1000. On dividing it by 60 we get 40 as remainder so subtracting 40 from 1000 gives a number which is divisible by 60 So 960 is divisible by 60. The next number divisible by 60 is 960+60 = 1020.

What is a 3 digit number that is divisible by 15?

The highest number that is divisible by 15 and still 3 digits is 990 (which is 15*66). Therefore any number that is 3 digits and divisible by 3 and 5 can be expressed by 15*n, where 7 <= n <= 66.

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