# What is the least number which when divided by 7 9 and 11 leaves 1/3 and 5 as the respective remainders?

Table of Contents

## What is the least number which when divided by 7 9 and 11 leaves 1/3 and 5 as the respective remainders?

The number is thus 344.

**What is the smallest number which can be divided by 7 and 11?**

Step 1: List a few multiples of 7 (7, 14, 21, 28, . . . ) and 11 (11, 22, 33, 44, 55, 66, . . . . ) Step 2: The common multiples from the multiples of 7 and 11 are 77, 154, . . . Step 3: The smallest common multiple of 7 and 11 is 77.

**What is the least number which when divided by 3/4 and 5 leaves remainders of 1/2 and 3 respectively?**

The least number which when divided by 4, 5 and 6 leaves remainder 1, 2 and 3 respectively, is : – GKToday. = 60 – 3 = 57. Hence option [A] is correct answer.

### What is the smallest number that when divided by 35 56 and 91?

3647

Therefore, 3647 is the smallest number that when divided by 35, 56 and 91 leaves remainder of 7 in each case.

**What is the least four digit number which when divided by 7 8 and 9 leaves a remainder 2 in each case?**

Detailed Solution. ∴ The number is 499.

**What is the smallest five digit number which when divided by 7 11 and 21 leaves a remainder of 5 in each case?**

so, the required number will be = 10164 +3 = 10167 (Ans.)

#### What is the least number which when divided by 9 11 13 always gives the remainder 5?

Therefore it is clear that 1279 is the smallest number which when divided by 9, 11, 13 leaves 1, 3 , 5 as the respective remainders .

**What is the smallest 4 digit number that is divisible by 6?**

The smallest 4 digit number which is divisible by 6 is 1002. Adding 5 to it gives 1007. Hence the series should be 1007,1013,1019 etc. Hence the smallest four digit number which when divided by 6 leaves reminder 5 and when divided by 5 leaves reminder 3 is 1013.

**Which number when divided by 7 8 and 9 leaves remainder?**

The smallest possible value of c = 0. Originally Answered: What is the smallest no. which when divided by 7, 8 and 9 leaves remainder 2, 4 and 6 respectively? Explanation please. If a number when divided by 8 gives remainder 4, then it is divisible by 4. If a number when divided by 9 gives remainder 6, then it is divisible by 3.

## What is the largest 4-digit number?

>> Find the largest four – dig… Find the largest four-digit number which when divided by 4, 7 and 13 leaves a remainder of 3 in each case. we know that, the largest 4 digit number is 9999. therefore 9831 is the number. Was this answer helpful?

**Which number is the smallest +ve number?**

Therefore Numbers 5,11 & 17 are all relatively coprimes and as such CRT (Chinese Remainder Theorem ) can be applied to solve the equation. X=785+ 1122 t where t is any integer. X=785 This is the smallest +ve Number. X=1907 This is another +ve Number. In fact, there are INFINITY Positive (also Negative numbers ) Numbers.

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