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Q.

If p = when a positive integer and a negative integer are added we always get a negative integer and q = when two negative integers are added, we get a positive integer, then

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a

Both p and q are true

b

p is true and q is false

c

p is false and q is true

d

Both p and q are false

answer is D.

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Detailed Solution

Given, p = when a positive integer and a negative integer are added we always get a negative integer.
q = when two negative integers are added, we get a positive integer.
When we add positive integers and negative integers then it is not necessary that the result would be a negative integer. It can also be a positive integer also.
For e.g.,

(+ 8) + (- 6) = + 2

.
Thus, the p statement is false.
When we add two negative integers, we will always get a negative integer.
For e.g.,

(- 7) + (- 9) = - 16

.
Thus, the q statement is also false.
Hence, the correct option is 4.

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If p = when a positive integer and a negative integer are added we always get a negative integer and q = when two negative integers are added, we get a positive integer, then