Methinks it is better to apply and take test. The reason is that you have the required qualification and the major subjects also have been studied by you.
Note it that NTS would not make objection in appearing in the test (just my own experience and assumption). The confusion lies in the Education Deptt. So, if you want to get confirmation or suggestion, visit your District's EDO (education) office. You will get the desired answer. Otherwise, it will just be an eerie matter to you.
Hope you got the point!

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"But screw your courage to the sticking place,
And we'll not fail." _Shakespeare, 'Macbeth')