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TN Police SI Number System — practice questions — page 2

Explore 47 free Number System questions in TN Police SI 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 31–47 of 47.

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 →

Worked practice questions

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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Assertion and reason: density

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Questions
  1. Reason
    Countless rationals lie between any two you pick.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    There is no next rational number after a given one.
  2. Reason
    The mean of two rationals is itself rational and sits between them.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    The mean is a reliable way to find a number in between.
  3. Reason
    1 is the multiplicative identity.
    Verdict
    Both are true; the reason does not explain the assertion.
    Assertion
    Rationals are closed under multiplication.
The last round pairs true halves that do not explain one another. Source: syllabus Maths, Ch 1 Rational Numbers.

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MensurationMultiplicationNumber PropertiesSimple InterestSquares And RootsPercentagesRatio and ProportionProfit and Loss