MCQ Subject: Number System & Simplification

For three numbers 12, 18, and 24, if their HCF is 6, what is the LCM of these numbers?

For two positive integers, if their HCF is 1 and LCM is 12, what is the product of the two numbers?

The divisibility rule for 7 involves which operation?

What can be said about the product of an even number and an odd number?

For two numbers, 24 and 36, if their HCF is 12, what is their LCM?

For two positive integers, the product of their HCF and LCM is equal to the product of the numbers themselves. Which of the following expressions represents this relationship for numbers x and y?

A two-digit number is divisible by 6 but not by 9. Which must be true about the number?

A mixture of 20 liters of alcohol and 30 liters of water is further mixed with another solution containing alcohol and water in the ratio 2:3. If the final ratio of alcohol to water is 2:1, how many liters of the second solution were added?

Convert 0.25 into a fraction and simplify the expression: 1/4 * (3/2 + 1/4)

What is the smallest number to add to 127 to make it divisible by 3?