word problems on whole numbers
Questions
- Find the number which, when divided by 23, gives 87 as the quotient and leaves 17 as the remainder.
- Which least number should be added to 7,000 so that the sum is exactly divisible by 22?
- Find the largest 4-digit number which is exactly divisible by 35.
- Find the number which, when divided by 51, gives 32 as the quotient and leaves 28 as the remainder.
- What should be subtracted from 16,000 to make it exactly divisible by 89?
- Find the smallest 6-digit number which is exactly divisible by 123.
- What is the sum of all even numbers between 40 and 60?
- Find the least common multiple (LCM) of 14 and 28.
- A cyclist covers a distance of 120 miles at a constant speed. If the speed had been 5 miles per hour more, it would have taken 1 hour less. Find the original speed of the cyclist.
- What is the product of all prime numbers between 2 and 10?
- Find the number which, when divided by 144, gives 35 as the quotient and leaves 58 as the remainder.
- Find the smallest 5-digit number which is exactly divisible by 172.
- What is the sum of all the multiples of 7 between 20 and 100?
- What is the least number that should be subtracted from 8,650 to make it exactly divisible by 27?
- Find the greatest common divisor (GCD) of 180 and 250.
- Find the number which, when divided by 81, gives 47 as the quotient and leaves 51 as the remainder.
- What should be added to 4,389 to make it exactly divisible by 31?
- Find the smallest 6-digit number which is exactly divisible by 258.
- What is the sum of all odd numbers between 51 and 75?
- Find the largest 6-digit number which is exactly divisible by 137.
Consolidated Answers
- The number is (87 * 23) + 17 = 2018.
- The least number to be added to 7,000 is 6.
- The largest 4-digit number exactly divisible by 35 is 9975.
- The number is (32 * 51) + 28 = 1660.
- 53 should be subtracted from 16,000 to make it exactly divisible by 89.
- The smallest 6-digit number exactly divisible by 123 is 100098.
- The sum of all even numbers between 40 and 60 is 550.
- The LCM of 14 and 28 is 28.
- The original speed of the cyclist was 15 miles per hour.
- The product of all prime numbers between 2 and 10 is 210.
- The number is (35 * 144) + 58 = 5138.
- The smallest 5-digit number which is exactly divisible by 172 is 10044.
- The sum of all the multiples of 7 between 20 and 100 is 567.
- The least number that should be subtracted from 8,650 to make it exactly divisible by 27 is 23.
- The GCD of 180 and 250 is 10.
- The number is (47 * 81) + 51 = 3848.
- 17 should be added to 4,389 to make it exactly divisible by 31.
- The smallest 6-digit number which is exactly divisible by 258 is 100026.
- The sum of all odd numbers between 51 and 75 is 819.
- The largest 6-digit number which is exactly divisible by 137 is 999966.