Class 4 Exam > Class 4 Questions > Which one of the following is not true?a)Succ...
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Which one of the following is not true?
- a)Successor of an even number is an odd number.
- b)Predecessor of an odd number is an even number.
- c)If a number is odd/its predecessor as well as successor will be even.
- d)An even number has odd predecessor and even successor.
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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Which one of the following is not true?a)Successor of an even number i...
Explanation:
To understand the answer, let's first define what predecessor and successor mean.
Predecessor: A number that comes before a given number.
Successor: A number that comes after a given number.
a) Successor of an even number is an odd number: True
- For example, the even number 4 has a successor of 5, which is an odd number.
b) Predecessor of an odd number is an even number: True
- For example, the odd number 7 has a predecessor of 6, which is an even number.
c) If a number is odd/its predecessor as well as successor will be even: False
- For example, the odd number 5 has a predecessor of 4 (an even number) and a successor of 6 (an even number).
- However, the odd number 7 has a predecessor of 6 (an even number) and a successor of 8 (an even number).
- Therefore, this statement is not always true.
d) An even number has odd predecessor and even successor: False
- For example, the even number 4 has a predecessor of 3 (an odd number) and a successor of 5 (an odd number).
- Therefore, this statement is not always true.
e) None of these: False
- As we have seen, statements a, b, and c are true to some extent, and statement d is false. Therefore, the correct answer is d.
In conclusion, the statement that is not true is "An even number has odd predecessor and even successor."
To understand the answer, let's first define what predecessor and successor mean.
Predecessor: A number that comes before a given number.
Successor: A number that comes after a given number.
a) Successor of an even number is an odd number: True
- For example, the even number 4 has a successor of 5, which is an odd number.
b) Predecessor of an odd number is an even number: True
- For example, the odd number 7 has a predecessor of 6, which is an even number.
c) If a number is odd/its predecessor as well as successor will be even: False
- For example, the odd number 5 has a predecessor of 4 (an even number) and a successor of 6 (an even number).
- However, the odd number 7 has a predecessor of 6 (an even number) and a successor of 8 (an even number).
- Therefore, this statement is not always true.
d) An even number has odd predecessor and even successor: False
- For example, the even number 4 has a predecessor of 3 (an odd number) and a successor of 5 (an odd number).
- Therefore, this statement is not always true.
e) None of these: False
- As we have seen, statements a, b, and c are true to some extent, and statement d is false. Therefore, the correct answer is d.
In conclusion, the statement that is not true is "An even number has odd predecessor and even successor."
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Which one of the following is not true?a)Successor of an even number is an odd number.b)Predecessor of an odd number is an even number.c)If a number is odd/its predecessor as well as successor will be even.d)An even number has odd predecessor and even successor.e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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