CAT Number System Questions With Solutions

Number Systems covers the properties of integers: divisibility, factors, prime factorisation, HCF and LCM, remainders, unit digits and bases.

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Why Number Systems matters in CAT

Number system questions are often short but conceptual. They reward structured thinking more than long calculation.

Key number systems concepts

Prime factorisation
Number of factors
HCF and LCM
Remainder theorems
Cyclicity of unit digits

Important formulas

N = p^{a} q^{b} r^{c} \Rightarrow \text{number of factors} = (a+1)(b+1)(c+1)

\text{HCF}(a,b) \times \text{LCM}(a,b) = a \times b

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Common mistakes

Forgetting that 1 is not a prime number.
Applying HCF × LCM = product to three numbers, where it does not hold.

Practical solving approaches

Prime-factorise first.
Test small values to spot patterns in unit digits and remainders.

Want more number systems practice?

Continue with timed questions on the InsideIIM practice platform.

Practise Free Tests on InsideIIM

Number Systems FAQs

Are number systems questions hard in CAT?: They range widely. Many can be solved quickly with prime factorisation or by testing small cases.

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CAT Number System Questions With Solutions

Number Systems covers the properties of integers: divisibility, factors, prime factorisation, HCF and LCM, remainders, unit digits and bases.

38 free number systems practice questions. Answers and available explanations are shown after sign-in.

Why Number Systems matters in CAT

Number system questions are often short but conceptual. They reward structured thinking more than long calculation.

Key number systems concepts

Prime factorisation
Number of factors
HCF and LCM
Remainder theorems
Cyclicity of unit digits

Important formulas

N = p^{a} q^{b} r^{c} \Rightarrow \text{number of factors} = (a+1)(b+1)(c+1)

\text{HCF}(a,b) \times \text{LCM}(a,b) = a \times b

Common mistakes

Forgetting that 1 is not a prime number.
Applying HCF × LCM = product to three numbers, where it does not hold.

Practical solving approaches

Prime-factorise first.
Test small values to spot patterns in unit digits and remainders.

Want more number systems practice?

Continue with timed questions on the InsideIIM practice platform.

Practise Free Tests on InsideIIM

Number Systems FAQs

Are number systems questions hard in CAT?: They range widely. Many can be solved quickly with prime factorisation or by testing small cases.

CAT Number System Questions With Solutions

Why Number Systems matters in CAT

Key number systems concepts

Important formulas

Common mistakes

Practical solving approaches

Number Systems FAQs

CAT Number System Questions With Solutions

Why Number Systems matters in CAT

Key number systems concepts

Important formulas

CAT number systems practice questions

Base systems

Factorials & highest power

Factors, divisibility, HCF & LCM

Number properties & digits

Remainders & modular arithmetic

Common mistakes

Practical solving approaches

Number Systems FAQs

Related Quant topics

CAT Number System Questions With Solutions

Why Number Systems matters in CAT

Key number systems concepts

Important formulas

Common mistakes

Practical solving approaches

Number Systems FAQs

CAT Number System Questions With Solutions

Why Number Systems matters in CAT

Key number systems concepts

Important formulas

CAT number systems practice questions

Base systems

Factorials & highest power

Factors, divisibility, HCF & LCM

Number properties & digits

Remainders & modular arithmetic

Common mistakes

Practical solving approaches

Number Systems FAQs

Related Quant topics