Random Puzzles 

Workings

Hint
One word begins with the letter B, and the other begins with the letter C.

Answer
Bacterial and calibrate.

Workings

Hint
The answer is a whole number less than 10.

Answer
3.

Reasoning
We can multiply throughout by 12,
    X     X     X     X
    -  -  -  +  -  =  -
    X     2     4     12

to give:

   12 − 6X + 3X = X

        12 − 3X = X

             12 = 4X

              3 = X

As required.

Double-Checking
    3     3     3     3
    -  -  -  +  -  =  -
    3     2     4     12

    1 − 1.5 + 0.75 = 0.25

              0.25 = 0.25, which confirms that 3 is correct.

Workings

Hint
There are 16 ounces in a pound, and 144 in a gross.

Answer
Seconds in an hour.

Reasoning
There are 16 x 144 = 2,304 ounces in gross pounds.

There are 60 x 60 = 3,600 seconds in an hour.

Workings

Hint
The first letters of the names are: G, R, E, P, M, E, A, A.

Answer
gl    = Gail
rs    = Rose or Iris
dth   = Edith
ptsy  = Patsy
mxn   = Maxine
dwn   = Edwina or Dawn
gth   = Agatha
dry   = Audrey