Foundational tools used across the paper: number system, modulus, logs, greatest integer.
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Q1 · Greatest Integer Function · EASY
What is the value of ⌊4.7⌋ + ⌊−2.3⌋, where ⌊·⌋ denotes the greatest integer function?
Q2 · Logarithms · EASY
If log₁₀(x) = 3, what is the value of x?
Q3 · Number System · MEDIUM
How many positive integers less than 1000 are divisible by both 6 and 10?
Q4 · Basic Inequalities · MEDIUM
For positive real numbers x, y, z with x + y + z = 12, what is the maximum value of xyz?
Q5 · Modulus / Absolute Value · EASY
What is the value of |3 − 7| + |−5|?