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Rewrite each of the following statements...

Rewrite each of the following statements in the form `p` if only if`q :` `s :` If a tumber is half empty, then it is half full and if a tumber is half full, the it is half empty.

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Rewrite each of the following statements in the form p if only if iq:s: If a tumber is half empty,then it is half full and if a tumber is half full,the it is half empty.

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Knowledge Check

  • Consider the following Statements p : A tumbler is half empty. A tumbler is half full. Then, thee combination form of"p if and only if q"is

    A
    a tumbler is half empty and half full
    B
    a tumbler is half empty if and only if it is half full
    C
    Both (a) and (b)
    D
    None of the these

  • If the cotangents of half the angles of a triangle are in A.P., then the sides are in

    A
    A.P.
    B
    G.P.
    C
    H.P.
    D
    none

  • If the lower half of a concave mirror's reflecting surface is made opaque, which of the following statements describe the image of an object placed in front of the mirror ? S1 : Intensity of the image will increase. S2 : The image will show only half of the object. S3 : No change in the image. S4 : Intensity if the image will be reduced to half.

    A
    S1 only
    B
    S2 only
    C
    S2 and S3
    D
    S4 only

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    Rewrite each of the following statements in the form 'p if and only if q'. Give below are pairs of statements. Combine them using 'if and only if' : p : If two lines are parallel, then their slopes are equal. q : If the slopes of two lines are equal, then they are parallel.

    Write each of the following numbers in the form (p)/(q) , where p and q are integers: three and half

    Rewrite each of the following statements in the form 'p if and only if q'. Determine the truth value of each of the following statements : 3+3 = 6 if 4+3 =8

    State whether the following statements are true or false :Half the female gametes contain X chromosomes and the other half contain Y chromosomes.

    An empty container is filled with pure alcohol. The alcohol is slowly allowed to run out and when the container is 1/4 empty, it is replaced with water. Next, when the container is half empty it is again filled with water. Finally, when it is 3/4 empty, it is again filled with water. What percentage of container is alcohol now?

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