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Class 4 Exam  >  Class 4 Tests  >  Olympiad Test: Factors And Multiples - 1 - Class 4 MCQ

Olympiad Test: Factors And Multiples - 1 - Class 4 MCQ


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20 Questions MCQ Test - Olympiad Test: Factors And Multiples - 1

Olympiad Test: Factors And Multiples - 1 for Class 4 2024 is part of Class 4 preparation. The Olympiad Test: Factors And Multiples - 1 questions and answers have been prepared according to the Class 4 exam syllabus.The Olympiad Test: Factors And Multiples - 1 MCQs are made for Class 4 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Olympiad Test: Factors And Multiples - 1 below.
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Olympiad Test: Factors And Multiples - 1 - Question 1
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Up : Down :: Factor :_____________ .

Detailed Solution for Olympiad Test: Factors And Multiples - 1 - Question 1
Explanation:

  • Up : Down :: Factor : Multiple - The relationship between "Up" and "Down" is that they are opposites in direction. Similarly, the relationship between "Factor" and "Multiple" is that they are related concepts in mathematics. A factor is a number that divides another number evenly, while a multiple is the result of multiplying a number by an integer. Therefore, the correct analogy is "Factor : Multiple".

Olympiad Test: Factors And Multiples - 1 - Question 2
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Look at the analogy carefully and choose the correct option. 7 : 14:: 5:

Detailed Solution for Olympiad Test: Factors And Multiples - 1 - Question 2

Since, 14 is a multiple of 7: 10 is a multiple of 5. 
∴Required answer = 7 : 14 : : 5 : 10

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Olympiad Test: Factors And Multiples - 1 - Question 3
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_____________ : 9 ::  4 : 24.

Detailed Solution for Olympiad Test: Factors And Multiples - 1 - Question 3

Clearly 5 is a factor of 45 and not a multiple of 3.

Olympiad Test: Factors And Multiples - 1 - Question 4
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Which one of the following is a factor of 45 and not a multiple of 3?
Detailed Solution for Olympiad Test: Factors And Multiples - 1 - Question 4
Factors of 45:

  • 1

  • 3

  • 5

  • 9

  • 15

  • 45


Factors that are multiples of 3:

  • 3

  • 9

  • 15

  • 45


Factors that are not multiples of 3:

  • 1

  • 5

  • 7


From the list of factors of 45, we can see that 5 is a factor of 45 and not a multiple of 3. Therefore, the correct answer is A: 5.

Olympiad Test: Factors And Multiples - 1 - Question 5
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Which one of the following is a multiple of 2 but not a factor of 8?
Detailed Solution for Olympiad Test: Factors And Multiples - 1 - Question 5
Explanation:

  • Multiple of 2: Any number that can be evenly divided by 2 is a multiple of 2.

  • Factor of 8: Any number that divides 8 without leaving a remainder is a factor of 8.

  • Identifying the Correct Answer: To find a number that is a multiple of 2 but not a factor of 8, we need to look for a number that can be divided by 2 but does not divide 8.

  • Options:

    • Option A (2): 2 is a multiple of 2 and also a factor of 8.

    • Option B (8): 8 is a multiple of 2 and a factor of 8.

    • Option C (4): 4 is a multiple of 2 and a factor of 8.

    • Option D (6): 6 is a multiple of 2 but not a factor of 8, as it divides 6 and 3 but not 8.



  • Conclusion: Therefore, the correct answer is option D (6) as it is a multiple of 2 but not a factor of 8.

Olympiad Test: Factors And Multiples - 1 - Question 6
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Which is odd one out?
Detailed Solution for Olympiad Test: Factors And Multiples - 1 - Question 6

26, 39 and 65 are multiples of 13.

Olympiad Test: Factors And Multiples - 1 - Question 7
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Which is odd one out?
Detailed Solution for Olympiad Test: Factors And Multiples - 1 - Question 7

12, 24 and 18 are multiples of 6.

Olympiad Test: Factors And Multiples - 1 - Question 8
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What are the multiples of 16 between 40 and 90?
Detailed Solution for Olympiad Test: Factors And Multiples - 1 - Question 8

Clearly 48,64 and 80 are multiples of 16 between 40 and 90.

Olympiad Test: Factors And Multiples - 1 - Question 9
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What is seventh multiple of 9?
Detailed Solution for Olympiad Test: Factors And Multiples - 1 - Question 9

Seventh multiple of 9 = 7 × 9 = 63

Olympiad Test: Factors And Multiples - 1 - Question 10
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What is eleventh multiple of 6?
Detailed Solution for Olympiad Test: Factors And Multiples - 1 - Question 10


  • Step 1: Find the eleventh multiple of 6 by multiplying 6 by 11.

  • Step 2: 6 x 11 = 66

  • Step 3: Therefore, the eleventh multiple of 6 is 66.

Olympiad Test: Factors And Multiples - 1 - Question 11
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What is next number in the sequence?
2, 6, 18, 54, ….
Detailed Solution for Olympiad Test: Factors And Multiples - 1 - Question 11

The given sequence is

Olympiad Test: Factors And Multiples - 1 - Question 12
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You are thinking of a number that is multiple of 7 and 12. What is the smallest number that you can think of?
Detailed Solution for Olympiad Test: Factors And Multiples - 1 - Question 12
Explanation:

  • Factors of 7: 7, 14, 21, 28, 35, ...

  • Factors of 12: 12, 24, 36, 48, ...

  • The smallest number that is a multiple of both 7 and 12 is their least common multiple (LCM).

  • To find the LCM, we need to find the smallest number that is divisible by both 7 and 12.

  • The LCM of 7 and 12 is calculated as follows: LCM(7, 12) = (7 x 12) / GCD(7, 12)

  • GCD(7, 12): Greatest Common Divisor of 7 and 12 is 1.

  • Therefore, LCM(7, 12) = (7 x 12) / 1 = 84.

Olympiad Test: Factors And Multiples - 1 - Question 13
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What is the greatest length that is used to measure 8 m, 6 m and 14 m exactly?
Detailed Solution for Olympiad Test: Factors And Multiples - 1 - Question 13
Lengths to Measure:

  • 8 m

  • 6 m

  • 14 m


Finding the Greatest Length:

  • First, find the greatest common factor (GCF) of the given lengths which will be the greatest length that can measure all the given lengths.

  • Factors of 8: 1, 2, 4, 8

  • Factors of 6: 1, 2, 3, 6

  • Factors of 14: 1, 2, 7, 14

  • Common factors: 1, 2

  • The greatest common factor among the three given lengths is 2.


Conclusion:

  • The greatest length that can measure 8 m, 6 m, and 14 m exactly is 2 m.

Olympiad Test: Factors And Multiples - 1 - Question 14
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Which of the following numbers has the least number of factors?
Detailed Solution for Olympiad Test: Factors And Multiples - 1 - Question 14

Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66.
Factors of 106: 1, 2, 53, 106.
Factors of 78 are 1, 2, 3, 6, 13, 26, 39, and 78.
Factors of 110: 1, 2, 5, 10, 11, 22, 55, 110.

Olympiad Test: Factors And Multiples - 1 - Question 15
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Which number below is a factor of 12?
Detailed Solution for Olympiad Test: Factors And Multiples - 1 - Question 15

Clearly 6 is a factor of 12

Olympiad Test: Factors And Multiples - 1 - Question 16
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Which number below is not a factor of 8?
Detailed Solution for Olympiad Test: Factors And Multiples - 1 - Question 16

3 is not a factor of 8.

The factors are 1,2,4 and 8.

(8/1 = 8, 8/2 = 4, 8/8 =1).

Olympiad Test: Factors And Multiples - 1 - Question 17
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Which number below is a factor of 16?
Detailed Solution for Olympiad Test: Factors And Multiples - 1 - Question 17
Factors of 16:

  • Definition: Factors are the numbers that can be multiplied together to get a specific number.

  • Factors of 16: 1, 2, 4, 8, 16


Explanation:

  • Number B (2): 2 is a factor of 16 because 2 x 8 = 16.

  • Why B is a factor: Since 2 can be multiplied by 8 to get 16, it is a factor of 16.

  • Other options: Option A, C, and D are not factors of 16 as they cannot be multiplied to give 16.


Conclusion:

  • Correct Answer: B (2) is the factor of 16.

  • Final Note: Factors are important in mathematics as they help in simplifying calculations and understanding the properties of numbers.

Olympiad Test: Factors And Multiples - 1 - Question 18
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Which number below is a factor of 21?
Detailed Solution for Olympiad Test: Factors And Multiples - 1 - Question 18
Finding the factors of 21:

  • Factor: A factor is a number that divides another number without leaving a remainder.

  • Prime Factorization of 21: To find the factors of 21, we need to list the numbers that can divide 21 evenly. The prime factorization of 21 is 3 x 7.

  • Factors of 21: The factors of 21 are 1, 3, 7, and 21.


Determining which number is a factor of 21:

  • A: 5 - 5 is not a factor of 21 because it does not divide 21 evenly.

  • B: 2 - 2 is not a factor of 21 because it does not divide 21 evenly.

  • C: 7 - 7 is a factor of 21 because 7 x 3 = 21, and it divides 21 evenly.

  • D: 6 - 6 is not a factor of 21 because it does not divide 21 evenly.


Conclusion:

  • Therefore, the number 7 is a factor of 21.

Olympiad Test: Factors And Multiples - 1 - Question 19
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Which number below is a factor of 25?
Detailed Solution for Olympiad Test: Factors And Multiples - 1 - Question 19

The number 25 is a composite number. Now let us find the prime factors of 25.

  • The first step is to divide the number 25 with the smallest prime factor,i.e. 2

25 ÷ 2 = 12.5

          Therefore, 2 cannot be a prime factor of 25.

  • Now, proceed to the next prime numbers, i.e. 3

25 ÷ 3 = 8.33

           Therefore, 3 cannot be a prime factor of 25.

  • Again, moving to the next prime number, 5 and continue dividing till you get fraction or 1 as the output.

25 ÷ 5 = 5

5 ÷ 5 = 1

  • We have received 1 at the end in the division process and further, we cannot proceed. So, the prime factors of 25 are 5 × 5 or 52, where 5 is a prime number
Olympiad Test: Factors And Multiples - 1 - Question 20
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Which number below is not a factor of 20?
Detailed Solution for Olympiad Test: Factors And Multiples - 1 - Question 20
Factors of 20:

  • 1: 1 is a factor of 20 because 1 x 20 = 20

  • 20: 20 is a factor of 20 because 1 x 20 = 20

  • 8: 8 is a factor of 20 because 8 x 2.5 = 20

  • 4: 4 is a factor of 20 because 4 x 5 = 20


Identifying the number not a factor of 20:

  • Number Not a Factor: The number that is not a factor of 20 is 8, as it does not evenly divide 20 without any remainder. While 1, 20, and 4 are all factors of 20, 8 is not.


Conclusion:

  • Correct Answer: The number that is not a factor of 20 is 8.

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