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Which of the following compound statemen...

Which of the following compound statements is/are true?
p : All fraction numbers are rational or all rational numbers are fraction
q : Number of prime factors of 12 is 3 or number . of total factors is 6
r : Square of ari integer is always positive or cube · of an integer may be negative or positive

A

p only ·

B

q only

C

q and r

D

p, q and r

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The correct Answer is:
D
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AAKASH INSTITUTE-MATHEMATICAL REASONING-Assignment (SECTION-A) (Objective type Questions (Only one answer))
  1. A compound statement with "OR" Is true when

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  2. A compound statement with "OR" is false when

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  3. Which of the following compound statements is/are true? p : All fra...

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  4. p: x = 5 or x = 1 is the root of equation (x - 5)^2 = 0, statement p i...

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  5. Which of the following statements is/are false? p : 137 is an intege...

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  6. Which of the following compound statement contains inclusive OR p : ...

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  7. Which of the following compound statement contains exclusive OR' p :...

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  8. p : For every integer x, x^2 is positive integer, (x ne 0) statement...

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  9. p-: There exists a natural number which is prime. Statement p can be i...

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  10. "If p then q" (where p and q are statements) says

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  11. "If p then q" is same as (where p and q are statement)

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  12. p : If end digit of an integer is 5 then end digit of its square is al...

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  13. p : If a number is multiple of 5 then its end digit wiil be 5 or 0. ...

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  14. Contrapositive of "if p· then q" is (where p and q are statement)

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  15. p : If an octagon in regular than all its side and angles are equal ...

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  16. p : If a cylinder is right circular cylinder then its volume is 1/3pir...

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  17. The conyerse of a given statement "if p, then q" is (where f and q are...

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  18. p : · If nth term of a sequence is linear then sequence is in A.P. ...

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  19. p : If a triangle is equilateral then its centroid, circumcenter and i...

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  20. r : If a finite set has n elements then its total number of substets i...

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