Number Systems
~5–7% of QA. Divisibility and remainders are most-asked.
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Take a full mock →Q1 · Number Systems · HARD
How many three-digit numbers are divisible by 7 but leave a remainder of 3 when divided by 5?
Q2 · Number Systems · EASY
What is the smallest natural number that when divided by 8, 12, and 15 leaves remainders of 5, 9, and 12 respectively?
Q3 · Number Systems · MEDIUM
If N = 2^5 × 3^4 × 5^2, then how many factors of N are perfect squares?
Q4 · Number Systems · EASY
What is the remainder when 7^85 is divided by 6?
Q5 · Number Systems · HARD
How many positive integer pairs (a, b) exist such that HCF(a, b) = 18 and a + b = 396?