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Which of the following CANNOT yield an integer when divided by 10?
(i) Product of two prime numbers
(ii) An integer less than 10
(iii) Sum of three consecutive integers
(iv) An odd integer
(i) Product of two prime numbers
(ii) An integer less than 10
(iii) Sum of three consecutive integers
(iv) An odd integer
- a)(i) & (iv) only
- b)(ii) & (iv) only
- c)(ii), (iii) & (iv) only
- d)(iv) Only
- e)(iii) only
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Which of the following CANNOT yield an integer when divided by 10?(i) ...
This question requires deep thinking in the sense that you have to look for the examples to refute the statements. We will take one by one. If product of two prime numbers when divided by 10 gives us an integer we can remove all answers containing (i). So we take 5 and 2. When multiplied and then divided by 10 we get an integer 1. So (i) is true. Get rid of A. We move to (ii). Lets take 0. This when divided by 10 gives 0, which again is an integer. So (ii) is also true. So get rid of B and C. Now we just need to verify D as it is the obvious choice. Any odd integer when divided by 10 would always leave decimal and never an integer. So D cannot be true. Hence it is the answer.
Most Upvoted Answer
Which of the following CANNOT yield an integer when divided by 10?(i) ...
The product of two prime numbers can yield an integer when divided by 10. For example, 2 * 5 = 10, which is an integer.
An integer less than 10 can yield an integer when divided by 10. For example, 5 divided by 10 equals 0.5, which is not an integer, but 5 divided by 10 equals 0, which is an integer.
The sum of three consecutive integers can yield an integer when divided by 10. For example, the sum of 3 + 4 + 5 equals 12, which is an integer.
An odd integer cannot yield an integer when divided by 10. For example, 7 divided by 10 equals 0.7, which is not an integer.
Therefore, the answer is (iv) An odd integer.
An integer less than 10 can yield an integer when divided by 10. For example, 5 divided by 10 equals 0.5, which is not an integer, but 5 divided by 10 equals 0, which is an integer.
The sum of three consecutive integers can yield an integer when divided by 10. For example, the sum of 3 + 4 + 5 equals 12, which is an integer.
An odd integer cannot yield an integer when divided by 10. For example, 7 divided by 10 equals 0.7, which is not an integer.
Therefore, the answer is (iv) An odd integer.
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Which of the following CANNOT yield an integer when divided by 10?(i) Product of two prime numbers(ii) An integer less than 10(iii) Sum of three consecutive integers(iv) An odd integera)(i) & (iv) onlyb)(ii) & (iv) onlyc)(ii), (iii) & (iv) onlyd)(iv) Onlye)(iii) onlyCorrect answer is option 'D'. Can you explain this answer?
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