Whole, rational, irrational numbers; LCM, HCF; divisibility.
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Q1 · Number System · EASY
The HCF of two numbers is 12 and their LCM is 180. If one of the numbers is 36, what is the other number?
Q2 · Number System · MEDIUM
A number when divided by 5 leaves a remainder of 3. When the same number is divided by 15, it leaves a remainder of 8. What is the smallest such positive number?
Q3 · Number System · MEDIUM
What is the sum of all two-digit natural numbers that are divisible by 7?
Q4 · Number System · HARD
The LCM of three numbers is 1320 and their HCF is 6. If two of the numbers are 24 and 132, what is the third number?
Q5 · Number System · EASY
Which of the following is a rational number?