Start learning →

IIFT Number System — practice questions — page 2

Explore 104 free Number System questions in IIFT Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

Practise Number System with Quill →

Number System questions and exercises with answers

Showing questions 31–60 of 104.

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 →A list of numbers in which each term comes from adding a fixed number to the one before it is called:Read the answer and worked solution →The fixed number added each time in such a list is called the:Read the answer and worked solution →Shakila's money box holds 100, 150, 200, 250 rupees on successive birthdays. The common difference is:Read the answer and worked solution →For the list 6, 3, 0, minus 3, the common difference is:Read the answer and worked solution →Reena starts on 8000 rupees a month with a yearly rise of 500. Her salary in the fifth year is:Read the answer and worked solution →With a starting salary of 8000 and a rise of 500 a year, the salary in the fifteenth year is:Read the answer and worked solution →The nth term of a progression with first term a and common difference d is:Read the answer and worked solution →The tenth term of the list 4, 10, 16, 22 is:Read the answer and worked solution →Which of these lists is an arithmetic progression?Read the answer and worked solution →The list minus 2, 2, minus 2, 2 is not a progression because the differences are:Read the answer and worked solution →A progression with a last term is described as:Read the answer and worked solution →To list a progression completely, the minimum information you need is:Read the answer and worked solution →

Worked practice questions

True or false: reading the properties

Read exercise and reference answers
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.

Open this exercise →

Naming the property

Read exercise and reference answers
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.

Open this exercise →

Tap every statement the chapter actually establishes

Read exercise and reference answers
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.

Open this exercise →

How to practise

  1. Choose a Number System question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Quantitative Aptitude topics

Quantitative AptitudeAlgebraGeometry & MensurationProfit and LossRatio and ProportionPercentagesSimple InterestAverages