CAT Number System questions with solutions
32 previous year CAT questions on Number System, taken from the QA section, each with the correct answer and a full explanation. Work through them in order or jump to a specific paper.
CAT 2023 Slot 1CAT 2023 Slot 2CAT 2023 Slot 3CAT 2022 Slot 1CAT 2022 Slot 2CAT 2018 Slot 2CAT 2008 Slot 1CAT 2007 Slot 1CAT 2005 Slot 1CAT 2004 Slot 1CAT 2002 Slot 1CAT 1998 Slot 1CAT 1997 Slot 1
- #465Largest exponent dividing expressionQATITAHard
- #484Count of two-digit numbersQAMCQMedium
- #694Powers of 2 between Powers of 8QAMCQMedium
- #698Natural Numbers with 15 FactorsQATITAHard
- #715Largest possible value of n - mQAMCQMedium
- #717Common divisor of algebraic expressionsQAMCQEasy
- #720Integers with exactly two non-trivial factorsQATITAMedium
- #740Divisibility and Prime FactorizationQAMCQMedium
- #841Divisibility of FactorialsQAMCQMedium
- #854Minimum Value of xyzQATITAMedium
- #871Largest Integer Divisors Sum A + BQATITAHard
- #886Last Two Digits of PowerQAMCQEasy
- #894Digit Sum Seed FunctionQAMCQMedium
- #903Powers of Three Consecutive IntegersQAMCQMedium
- #942Number of integral pairs satisfying reciprocal equationQAMCQHard
- #951Four-digit perfect squares with repeated digitsQAMCQMedium
- #1024Remainder of sum of cubes divided by 70QAMCQEasy
- #1033Remainder of factorial sumQAMCQMedium
- #1035Three digit number divisibility by 7QAMCQMedium
- #1038Rightmost non-zero digitQAMCQMedium
- #1041Product and sum of digits equationQAMCQMedium
- #1047Numbers with odd digits divisible by 3QAMCQMedium
- #1089Integer Pairs Satisfying x + y = xyQAMCQEasy
- #1090Remainder of Exponential SumQAMCQEasy
- #1109Ages of Two Boys and ParentsQAMCQMedium
- #1114Remainder of Power DivisionQAMCQEasy
- #1115Divisibility of Exponential DifferenceQAMCQMedium
- #1180Properties of Numbers - Parity of ExponentsQAMCQEasy
- #1182Alphametic / Number PuzzleQAMCQMedium
- #1186Number System - Last Digit of PowerQAMCQEasy
- #1187Divisibility Rule of 8QAMCQEasy
- #1195Integral values of an algebraic expressionQAMCQMedium