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Mathematics

Assertion: Product of three negative integers and a positive integer is negative.

Reason: (-1) x (-1) x (-1) x …………… n times = -1, if n is odd.

  1. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  2. Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
  3. Assertion (A) is true but Reason (R) is false.
  4. Assertion (A) is false but Reason (R) is true.

Integers

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Answer

Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

Explanation

Product of three negative integers:

(negative x negative x negative) = (negative)

So, product of three negative integers is negative.

Multiplying this by a positive integer keeps it negative:

(negative result x positive) = (negative)

The reason correctly explains that an odd number of negative integers gives a negative result.

Hence, option 1 is the correct option.

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