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NMAT Number System — practice questions — page 2

Explore 136 free Number System questions in NMAT Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Number System questions and exercises with answers

Showing questions 31–60 of 136.

True or false: reading the propertiesRead the answer and worked solution →Naming the propertyRead the answer and worked solution →Tap every statement the chapter actually establishesRead the answer and worked solution →Assertion and reason: densityRead the answer and worked solution →Order the reasoning: why there is no next rationalRead the answer and worked solution →Which operation keeps rationals closed?Read the answer and worked solution →Spot the odd oneRead the answer and worked solution →Complete the density statementRead the answer and worked solution →Closure in practiceRead the answer and worked solution →Every composite number can be expressed as:Read the answer and worked solution →The prime factorisation of 253 is:Read the answer and worked solution →The HCF of 96 and 404 is 4. Their LCM is:Read the answer and worked solution →The LCM of 6, 72 and 120 is:Read the answer and worked solution →What is the HCF of 96 and 404?Read the answer and worked solution →The smallest number that is exactly divisible by every number from 1 to 10 is:Read the answer and worked solution →The product 2 x 3 x 7 x 11 x 23 equals:Read the answer and worked solution →A number leaves remainder 3 when divided by 7 and remainder 3 when divided by 5. The smallest such number above 3 is:Read the answer and worked solution →How many prime factors, counted with repetition, does 21252 = 2^2 x 3 x 7 x 11 x 23 have?Read the answer and worked solution →Euclid's division lemma: for positive integers a and b there exist unique integers q and r with a = bq + r and:Read the answer and worked solution →In a = bq + r, the integers q and r are called the:Read the answer and worked solution →Euclid's division lemma was first recorded in which book of Euclid's Elements?Read the answer and worked solution →The word algorithm comes from the name of a 9th century mathematician from:Read the answer and worked solution →The HCF of 455 and 42, found by Euclid's algorithm, is:Read the answer and worked solution →Euclid's algorithm works because HCF(c, d) equals:Read the answer and worked solution →The HCF of 12576 and 4052 is:Read the answer and worked solution →A sweetseller has 420 kaju and 130 badam barfis and wants equal stacks using the least tray area. Each stack holds:Read the answer and worked solution →The Fundamental Theorem of Arithmetic says every composite number is a product of primes in a way that is:Read the answer and worked solution →The first correct proof of the Fundamental Theorem of Arithmetic was given by:Read the answer and worked solution →How many prime numbers are there?Read the answer and worked solution →Can 4 to the power n end in the digit zero for any natural number n?Read the answer and worked solution →

Worked practice questions

True or false: reading the properties

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Questions
  1. Statement is true
    Yes
    Statement
    Addition of rationals is commutative.
  2. Statement is true
    Yes
    Statement
    Multiplication of rationals is associative.
  3. Statement is true
    Yes
    Statement
    a(b − c) equals ab − ac.
  4. Statement is true
    No
    Statement
    Adding 1 leaves a rational number unchanged.
  5. Statement is true
    Yes
    Statement
    Multiplying by 1 leaves a rational number unchanged.
The five summary points, stated straight or bent. Source: syllabus Maths, Ch 1 Rational Numbers.

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Naming the property

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Questions
  1. Question
    (a × b) × c = a × (b × c) shows
    Choices
    1. associativity
    2. commutativity
    3. closure
    Correct choice
    associativity
  2. Question
    a × b = b × a shows
    Choices
    1. associativity
    2. commutativity
    3. distributivity
    Correct choice
    commutativity
  3. Question
    a(b − c) = ab − ac shows
    Choices
    1. closure
    2. identity
    3. distributivity
    Correct choice
    distributivity
  4. Question
    The sum of two rationals being rational shows
    Choices
    1. closure
    2. commutativity
    3. identity
    Correct choice
    closure
Recognising which property an equation shows. Source: syllabus Maths, Ch 1 Rational Numbers.

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Tap every statement the chapter actually establishes

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Questions
  1. Items
    1. Text
      Rationals are closed under addition
      Matches the category
      Yes
    2. Text
      0 is the additive identity
      Matches the category
      Yes
    3. Text
      Countless rationals lie between any two
      Matches the category
      Yes
    4. Text
      Every rational has a decimal that terminates
      Matches the category
      No
    5. Text
      The square root of 2 is rational
      Matches the category
      No
    Category
    Established in this chapter
A check on scope. Source: syllabus Maths, Ch 1 Rational Numbers.

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