Start learning →

NMAT Algebra — practice questions — page 4

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

Practise Algebra with Quill →

Algebra questions and exercises with answers

Showing questions 91–104 of 104.

For three numbers, the product of the numbers is:Read the answer and worked solution →Knowing the highest common factor of two numbers lets you find their lowest common multiple by:Read the answer and worked solution →If two numbers share no prime factor at all, their highest common factor must be:Read the answer and worked solution →A number like root 2, which cannot be written as a ratio of integers, is described as:Read the answer and worked solution →If a prime p divides the square of a number a, the theorem states that p also divides:Read the answer and worked solution →The two main tools introduced for studying real numbers here are prime factorisation and:Read the answer and worked solution →Catch the prime factorsRead the answer and worked solution →Pop the correct answersRead the answer and worked solution →Run the factor gatesRead the answer and worked solution →Slice the number wordsRead the answer and worked solution →Smallest or greatest powerRead the answer and worked solution →Sort the resultsRead the answer and worked solution →Type the numberRead the answer and worked solution →Number theory bingoRead the answer and worked solution →

Worked practice questions

For three numbers, the product of the numbers is:

  1. Always equal to LCM only
  2. Not equal to HCF times LCM
  3. Always equal to HCF times LCM
  4. Always equal to HCF only
Show answer and solution

Correct answer: B. Not equal to HCF times LCM

1. The rule for two numbers does not extend. 2. Check with 6, 72 and 120. 3. The product is not equal to HCF times LCM. _Source: syllabus Mathematics, Chapter 1, Real Numbers._

Open this question →

Knowing the highest common factor of two numbers lets you find their lowest common multiple by:

  1. Subtracting it from the sum
  2. Multiplying it by the sum
  3. Dividing the product by it
  4. Adding the product to it
Show answer and solution

Correct answer: C. Dividing the product by it

1. The product rule links the two. 2. Rearranging it isolates the multiple. 3. You divide the product by it. _Source: syllabus Mathematics, Chapter 1, Real Numbers._

Open this question →

If two numbers share no prime factor at all, their highest common factor must be:

  1. 0
  2. 2
  3. 3
  4. 1
Show answer and solution

Correct answer: D. 1

1. No common prime power exists. 2. Only the trivial divisor remains. 3. It is 1. _Source: syllabus Mathematics, Chapter 1, Real Numbers._

Open this question →

How to practise

  1. Choose a Algebra 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 AptitudeNumber SystemRatio and ProportionTime, Speed and DistanceTime and WorkPercentagesSimple InterestProfit and Loss