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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
This is quite a common alphabet.

Answer
Z.

From Zeta, first letters of the Greek alphabet, alpha, beta, gamma, delta, epsilon, zeta, eta.

Workings

Hint
Can the fractions be simplified?

Answer
667.

Reasoning
 3        8        1
———  of  ———  of  ———  of 2001
 4        9        2

which simplifies to:
24
——  of 2001
72

which simplifies to:
 1
———  of 2001
 3

Giving 667.

Workings

Hint
Does the answer change = NO.

Answer