Class 8 Exam  >  Class 8 Questions  >  Which of the following statements is true?a)A... Start Learning for Free
Which of the following statements is true?
  • a)
    A number is divisible by 4 if it is divisible by 2.
  • b)
    A number is divisible by 9 if it is divisible by 3.
  • c)
    A number is divisible by 11 if the number formed by its last two digits is divisible by 11.
  • d)
    A number is divisible by 8 if the number formed by its last three digits is divisible by 8.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the following statements is true?a)A number is divisible by 4...
The statement in option (D) is true according to the test of divisibility by 8.
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Most Upvoted Answer
Which of the following statements is true?a)A number is divisible by 4...

Summary:

A number is divisible by 8 if and only if the number formed by its last three digits is divisible by 8.


Explanation:

To determine if a number is divisible by 8, we need to check if the number formed by its last three digits is divisible by 8. This is because 8 is a multiple of 2 and 4, so any number divisible by 8 must also be divisible by 2 and 4.

Let's consider an example to understand this concept better. Let's take the number 123456.

Step 1:
Take the last three digits of the number, which in this case are 456.

Step 2:
Check if the number formed by the last three digits (456) is divisible by 8. If it is divisible, then the original number (123456) is also divisible by 8. If it is not divisible, then the original number is not divisible by 8.

In this case, the number formed by the last three digits (456) is not divisible by 8, so the original number (123456) is not divisible by 8.

Let's consider another example. Take the number 1234568.

Step 1:
Take the last three digits of the number, which in this case are 568.

Step 2:
Check if the number formed by the last three digits (568) is divisible by 8. If it is divisible, then the original number (1234568) is also divisible by 8. If it is not divisible, then the original number is not divisible by 8.

In this case, the number formed by the last three digits (568) is divisible by 8, so the original number (1234568) is divisible by 8.

Therefore, the statement "A number is divisible by 8 if the number formed by its last three digits is divisible by 8" is true.
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Community Answer
Which of the following statements is true?a)A number is divisible by 4...
All statements are true
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Which of the following statements is true?a)A number is divisible by 4 if it is divisible by 2.b)A number is divisible by 9 if it is divisible by 3.c)A number is divisible by 11 if the number formed by its last two digits is divisible by 11.d)A number is divisible by 8 if the number formed by its last three digits is divisible by 8.Correct answer is option 'D'. Can you explain this answer?
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Which of the following statements is true?a)A number is divisible by 4 if it is divisible by 2.b)A number is divisible by 9 if it is divisible by 3.c)A number is divisible by 11 if the number formed by its last two digits is divisible by 11.d)A number is divisible by 8 if the number formed by its last three digits is divisible by 8.Correct answer is option 'D'. Can you explain this answer? for Class 8 2024 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 true?a)A number is divisible by 4 if it is divisible by 2.b)A number is divisible by 9 if it is divisible by 3.c)A number is divisible by 11 if the number formed by its last two digits is divisible by 11.d)A number is divisible by 8 if the number formed by its last three digits is divisible by 8.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is true?a)A number is divisible by 4 if it is divisible by 2.b)A number is divisible by 9 if it is divisible by 3.c)A number is divisible by 11 if the number formed by its last two digits is divisible by 11.d)A number is divisible by 8 if the number formed by its last three digits is divisible by 8.Correct answer is option 'D'. Can you explain this answer?.
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