Remainder formula- Quant Study Notes for Competitive Exams
Click to study the Complete Theory of Remainder formula and practice a lot of questions difficulty wise that can be asked in your competitive exam.
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Remainder formula FAQs
What is the formula for remainder and quotient?
Dividend ÷ Divisor = Quotient and Remainder
What Fermat's little theorem states?
It states that Remainder [NP – 1/P] = 1 (where, P is a prime number and N < P) Or, Remainder [aP – 1/P] = 1 [where, P is a prime number and HCF (a, P) = 1]
What is Wilson's theorem?
It says
1. Remainder [(P – 1)!/P] = -1 or (P – 1)
2. Remainder [(P – 2)!/P] = 1
3. Remainder [(P – 3)!/P] = (P – 1)/2
(Where P is a prime number)
What are the rules for numbers in the form of a n + bn?
i) When n is odd, it is divisible by (a + b) ii) We can’t say anything when n is even.
What is the last two digits of the power of the number containing unit digit in base as 5?
→5
It has two cases, i) The power and the second last digit of base is odd ⇒ 75 ii) Otherwise ⇒25
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