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I.e., whether she remains satisfied with perceiving only the outward appearance of things and happenings, or endeavours to fathom their spiritual reality. Seeing that the people of Sheba were, until then, motivated by love of luxury and worldly power, Solomon intends to show the Queen her "throne", or the image of her domainion, as it could be if it were inspired by faith in God and hence, by a consciousness of moral responsibility.
The throne having been disguised, it will be a test to see whether Bilqis recognises it as her own or not.