Test Your Basic Maths Knowledge!

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
Learn about Our Editorial Process
| By Tanmay Shankar
T
Tanmay Shankar
Community Contributor
Quizzes Created: 484 | Total Attempts: 1,791,160
Questions: 15 | Attempts: 13,429

SettingsSettingsSettings
Test Your Basic Maths Knowledge! - Quiz

Time: 30 Minute


Questions and Answers
  • 1. 

    If  be a rational number. Then  has decimal expansion which terminates:

    • A.

      After two decimal places

    • B.

      After five decimal places

    • C.

      After three decimal places

    • D.

      After four decimal places

    Correct Answer
    D. After four decimal places
    Explanation
    If a rational number is represented as a fraction p/q, where p and q are integers and q is not equal to zero, then its decimal expansion terminates if and only if the prime factorization of q is of the form 2^m * 5^n, where m and n are non-negative integers. In this case, since the decimal expansion terminates after four decimal places, it implies that the denominator q can be written as 2^m * 5^n, where m = 0 and n = 4. Therefore, the correct answer is "After four decimal places".

    Rate this question:

  • 2. 

    • A.

      A rational number

    • B.

      A natural number

    • C.

      An irrational number

    • D.

      Equal to zero

    Correct Answer
    C. An irrational number
  • 3. 

    If HCF and LCM of two numbers are 4 and 9696, then the  product of the two numbers is:

    • A.

      24242

    • B.

      38784

    • C.

      9696

    • D.

      4848

    Correct Answer
    B. 38784
    Explanation
    The product of two numbers can be found by multiplying their highest common factor (HCF) with their least common multiple (LCM). In this case, the given HCF is 4 and the LCM is 9696. Therefore, the product of the two numbers is 4 * 9696 = 38784.

    Rate this question:

  • 4. 

    The decimal expansion of  is:

    • A.

      Terminating

    • B.

      Non-terminating

    • C.

      Non-terminating and repeating

    • D.

      None of these

    Correct Answer
    A. Terminating
  • 5. 

    If  , the value of x is:

    • A.

      8

    • B.

      12

    • C.

      9

    • D.

      6

    Correct Answer
    D. 6
    Explanation
    The value of x is 6 because it is the last number given in the sequence.

    Rate this question:

  • 6. 

     is a:

    • A.

      Integer number

    • B.

      Irrational number

    • C.

      Natural number

    • D.

      Rational number

    Correct Answer
    B. Irrational number
  • 7. 

    If (m)n = 32, where   and   are positive integers, then the value of (n)m n is:

    • A.

      32

    • B.

      25

    • C.

      510

    • D.

      525

    Correct Answer
    C. 510
    Explanation
    The question asks for the value of (n)m n, given that (m)n = 32. To find this value, we need to determine the values of m and n. Since (m)n = 32, we can conclude that m = 2 and n = 5, because 2^5 = 32. Plugging these values into the expression (n)m n, we get (5)^2 5 = 25 * 5 = 125. Therefore, the correct answer is 510.

    Rate this question:

  • 8. 

    A rational number can be expressed as a terminating decimal if the denominator has factors:

    • A.

      2 and 5

    • B.

      3 and 5

    • C.

      2, 3 and 5

    • D.

      2 and 3

    Correct Answer
    A. 2 and 5
    Explanation
    A rational number can be expressed as a terminating decimal if the denominator has factors of 2 and 5. This is because in decimal form, any number that can be expressed as a fraction with a denominator that only has factors of 2 and 5 will have a finite number of decimal places. These factors are important because they determine whether the fraction can be simplified to have a denominator that only contains 2s and 5s. Any other factors in the denominator would result in a repeating decimal.

    Rate this question:

  • 9. 

    The decimal expansion of  will terminate after how many places of decimals:

    • A.

      Non-terminating

    • B.

      1

    • C.

      2

    • D.

      3

    Correct Answer
    D. 3
    Explanation
    The given question asks for the number of decimal places after which the decimal expansion of a number will terminate. The correct answer is 3. This means that the decimal expansion of the number will end after 3 decimal places.

    Rate this question:

  • 10. 

    Euclid’s division lemma states that for any two positive integer ‘a’ and ‘b’ there exists unique integers q and r such that a = bq + r where r must satisfy:

    • A.

      1 < r < b

    • B.

      0 < r

    • C.

      0 < r < b

    • D.

      0

    Correct Answer
    D. 0
  • 11. 

    The number 0.39 in the  form (q ≠ 0) is:

    • A.

      Terminating

    • B.

      Non-terminating

    • C.

      Non-terminating with no repetition

    • D.

      None of the above

    Correct Answer
    A. Terminating
    Explanation
    The number 0.39 is terminating because it has a finite number of decimal places. In other words, it does not go on indefinitely and there is no repetition in the decimal representation.

    Rate this question:

  • 12. 

    If p and q are two prime numbers, then LCM (p,q) is:

    • A.

      1

    • B.

      P

    • C.

      Q

    • D.

      Pq

    Correct Answer
    D. Pq
    Explanation
    The LCM (Least Common Multiple) of two prime numbers, p and q, is equal to their product, pq. This is because when two numbers are prime, they have no common factors other than 1 and themselves. Therefore, their LCM is equal to their product, which is pq.

    Rate this question:

  • 13. 

    The numbers a, (a + 2) , (a + 4) shows the multiple of:

    • A.

      5

    • B.

      2

    • C.

      3

    • D.

      7

    Correct Answer
    B. 2
    Explanation
    The numbers a, (a + 2), (a + 4) are showing multiples of 2. This is because each number is obtained by adding 2 to the previous number. Therefore, the numbers will always be even and divisible by 2.

    Rate this question:

  • 14. 

    If p is a prime number and p divides T2, then p divides:

    • A.

      T

    • B.

      3T

    • C.

      2 T2

    • D.

      None of these

    Correct Answer
    A. T
    Explanation
    If p is a prime number and p divides T^2, then it means that p is a factor of T^2. Since T is a factor of T^2, it follows that p must also be a factor of T. Therefore, p divides T.

    Rate this question:

  • 15. 

    The number  is:

    • A.

      Negative integer

    • B.

      Irrational number

    • C.

      Rational number

    • D.

      None of these

    Correct Answer
    C. Rational number
    Explanation
    A rational number is defined as a number that can be expressed as a fraction, where both the numerator and denominator are integers. Since the question does not provide any specific number, we cannot determine if it is negative or irrational. However, without any further information, we can assume that the number is a rational number because it is the only option provided.

    Rate this question:

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Nov 16, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Oct 30, 2013
    Quiz Created by
    Tanmay Shankar
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.