NSEJS · Mathematics

Number Systems

Real numbers, rational/irrational numbers, Euclid's division lemma and laws of exponents.

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  • Q1 · Number Systems · EASY

    Which of the following numbers is irrational?

  • Q2 · Number Systems · EASY

    Using Euclid's division lemma, when 455 is divided by 42, what is the remainder?

  • Q3 · Number Systems · EASY

    Simplify: (2^5 × 3^2 × 5)/(2^3 × 3^4)

  • Q4 · Number Systems · MEDIUM

    Find the HCF of 306 and 657 using Euclid's division algorithm.

  • Q5 · Number Systems · MEDIUM

    If √5 = 2.236, then the value of (√5 - 1)/(√5 + 1) after rationalizing is approximately:

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