Class 8 Exam  >  Class 8 Questions  >  Which of the following statements is false?a)... Start Learning for Free
Which of the following statements is false?
  • a)
    If a number is divisible by 8, it must be divisible by 4.
  • b)
    If a number is divisible by both 9 and 10, it is divisible by 90.
  • c)
    The sum of two consecutive odd numbers is always divisible by 4.
  • d)
    If a number is not divisible by both 3 and 4, it is divisible by 12.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the following statements is false?a)If a number is divisible ...
A number divisible by 3 and 4 is divisible by 12.  
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Most Upvoted Answer
Which of the following statements is false?a)If a number is divisible ...
To determine which statement is false, let's examine each option one by one:

a) If a number is divisible by 8, it must be divisible by 4.
This statement is true. If a number is divisible by 8, it means it can be divided by 8 without leaving a remainder. Since 8 is also divisible by 4, any number divisible by 8 will also be divisible by 4.

b) If a number is divisible by both 9 and 10, it is divisible by 90.
This statement is true. If a number is divisible by both 9 and 10, it means it can be divided by 9 and 10 without leaving a remainder. Since 9 and 10 are both factors of 90, any number divisible by both 9 and 10 will also be divisible by 90.

c) The sum of two consecutive odd numbers is always divisible by 4.
This statement is false. Let's consider two consecutive odd numbers, 3 and 5. Their sum is 3 + 5 = 8, which is not divisible by 4. Therefore, the sum of two consecutive odd numbers is not always divisible by 4.

d) If a number is not divisible by both 3 and 4, it is divisible by 12.
This statement is false. Let's consider a number that is not divisible by both 3 and 4, such as 5. However, 5 is not divisible by 12. Therefore, the statement is false.

In conclusion, the false statement is d) If a number is not divisible by both 3 and 4, it is divisible by 12.
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Question Description
Which of the following statements is false?a)If a number is divisible by 8, it must be divisible by 4.b)If a number is divisible by both 9 and 10, it is divisible by 90.c)The sum of two consecutive odd numbers is always divisible by 4.d)If a number is not divisible by both 3 and 4, it is divisible by 12.Correct answer is option 'D'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Which of the following statements is false?a)If a number is divisible by 8, it must be divisible by 4.b)If a number is divisible by both 9 and 10, it is divisible by 90.c)The sum of two consecutive odd numbers is always divisible by 4.d)If a number is not divisible by both 3 and 4, it is divisible by 12.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is false?a)If a number is divisible by 8, it must be divisible by 4.b)If a number is divisible by both 9 and 10, it is divisible by 90.c)The sum of two consecutive odd numbers is always divisible by 4.d)If a number is not divisible by both 3 and 4, it is divisible by 12.Correct answer is option 'D'. Can you explain this answer?.
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