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## How many positive integers less than 1000 have the property?

How many positive integers less than 1000 have the property that the sum of the digits of each such number is divisible by 7 and the number itself is divisible by 3? Answer (**28) Sol.**

## How many positive integers are there between 1 and 1000?

Therefore, there are **734 positive integers which are divisible by at least 2, 3 or 5 from 1 to 1000.**

## How many positive integers less than 1000 have sum of their digits as?

I think correct answer is **28.**

## How many positive integers less than 1000 are such that the product of their digits is 210?

u2234 There are **54 positive numbers less than 10,000 are such that the product of their digits is 210.**

## How many positive integers less than 1000 have the property that the sum of the?

How many positive integers less than 1000 have the property that the sum of the digits of each such number is divisible by 7 and the number itself is divisible by 3? Answer (**28) Sol.**

## How many positive integers less than 1000 have some of their digit as 19?

Answer: I think correct answer is **28.**

## How many positive integers less than 1000 are divisible?

Total number of integers which are divisible by both 7 and 11 Total number of integers which are divisible by 77. The Total number of integers which are divisible by 77 below 1000 **12**

## What are the positive integers from 1 to 100?

The natural numbers from 1 to 100 are **1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, **

## How many integers are there between 100 and 1000?

899 numbers

## What is the sum of all positive integers up to 1000?

995. Therefore, the sum of all positive integers up to 1000, which are divisible by 5 and not divisible by 2 is **50000**

## How many integers are there in between 1 and 1000 that are divisible by any of the integers 2 3 and 7?

Hence, there are **4 numbers ( integers) between 1 and 1000 which are divisible by 2, 3, 5 or 7.**

## How many positive integers less than 1000 have the property that the sum of the digits of each such number is divisible by 7 and the number itself is divisible by 3?

How many positive integers less than 1000 have the property that the sum of the digits of each such number is divisible by 7 and the number itself is divisible by 3? Answer (**28) Sol.**

## How many positive integers less than 10,000 are there in which the sum of the digits equals 5 A 31 B 51 C 56 D 62 E 93?

Basically this arrangements will give us all numbers less than 10,000 in which sum of the digits (sum of 5 d’s5) equals 5. Hence the answer is . Answer: **C (56)**

## How many positive integers less than 10,000 are such that the sum of their digits is 9?

Total of **56 such integers.**

## How many positive integers less than 10,000 are such that the product of their digits is 2107?

54 positive numbers

## How many positive integers less than 10,000 are such that the sum of their digits is 8?

The answer is **3,439.**

## How many positive integers less than 10,000 are such that the sum of their digits is 4?

Total of **56 such integers.**

## How many positive integers less than 1000 have sum of their digits?

Answer: I think correct answer is **28.**

## How many positive integers less than 10000 are such that the sum of their digits is 9?

Total of **56 such integers.**

## How many positive integers less than 1000 are divisible by 7 and the number itself is divisible by 3?

Originally Answered: How many numbers less than 1000 whose sum of all digits is divisible by 7 and number itself divisible by 3? There are **28.**

## How many positive integers less than 1000000 have the sum of their digits equal 19 if the digit zero is not allowed?

The answer will be **30492.**

## How many positive integers less than 1000 have at least one decimal digit 9?

A positive integer less than 1000 has a unique representation as a 3-digit number padded with leading zeros, if needed. To avoid a digit of 9, you have 9 choices for each of the 3 digits, but you don’t want all zeros, so the excluded set has count 93u22121728. Hence the count you want is 999u2212728**271**

## How many positive integers less than 1000 are divisible by neither 7 or 11?

f) divisible by neither 7 nor 11. In this case, we want to calculate |AUB |U- |AU Bwhere U {ne N*)n x26lt; 1000}. Answer: 1000 220 **780**

## How many positive integers less than 1000 are divisible by both 3 and 7?

I think correct answer is **28.**

## What are the positive integers less than 100?

So, a positive integer less than 100 can be anything in the sequence: **1, 2, 3, 4, , 97, 98, 99.**