GCF and LCM

Find the smallest positive number greater than 1 that leaves a remainder of 1 when divided by 2, by 3, by 4, by 5 and by 6.

• 33

• 47

• 59

• 61

The remainder is 1 when a number A is divided by 2, 3, 4, 5, and 6 respectively. What is the smallest possible value of A if it is divisible by 7?

• 291

• 301

• 341

• 401

Whenever a number is divided by 2, 3, 5 and 7, the remainder is 1. When the same number is divided by 11, the remainder is 7. Whatisthe least number that satisfies these conditions?

• 1051

• 1261

• 841

• 631

A farmer has a basket of eggs. The remainder is 1 when he counts the eggs in groups of 2. If he counts them in groups of 3, the remainder is 2. The remainder is 3 when the eggs are counted in groups of 4. The remainders are 4 and 5 respectively when he counts in groups of 5 and 6. How many eggs are there in the basket?

• 99

• 79

• 59

• 49

Mr. Jones' car license plate number has 4 digits. When the first digit is moved to the ones place, the new number is greater than the original number by 2925. What is his car license plate number?

• 4769

• 6497

• 9467

• 7649

The digit 6 is placed in front of a 3-digit number, ABC, to form a 4-digit number. The sum of the 4-digit number and 300 is 8 times the original 3-digit number. What is ABC?

• 400

• 600

• 700

• 900