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Number Theory

Access to over 100 questions (10 questions at a time) in the following categories

Quiz Topics : The Fundamental Theorem of Arithmetic, Rational and Irrational Numbers, Prime and Composite Numbers, Least Common Multiple (LCM), Divisibility Rules, Modular Arithmetic, Diophantine Equations, Equivalent Ratios – Comparison of Ratios, Highest Common Factor, Conversion of Non-terminating and recurring decimals into Rational Numbers

Sample Questions:
The equation ax+by=c has integer solutions if and only if the greatest common divisor of a and b divides:
What is the rational equivalent of the repeating decimal 0.252525…?
The number 53 is a prime number. What is its prime factorization?
How many prime numbers are there between 1 and 20 (inclusive)?
The ratio of fruit extract to water in the ratio 4:1 is used to make a juice of 35 litres. Now, 7 litres of water is added to the juice. Find the ratio of fruit extract to water in the juice after adding water.

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