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This passage connects with verse {2} above, "We did test those who lived before them". The story of Noah and of his failure to convert his people occurs in the Qur'an several times, and most extensively in {11:25-48}. In the present instance it is meant to illustrate the truth that no one - not even a prophet - can bestow faith on another person (cf. 28:56 - "thou canst not guide aright everyone whom thou lovest"). The same purport underlies the subsequent references, in verses {16-4O}, to other prophets.
Sc., "and despite this great length of time was unable to convince them of the truth of his mission". The identical figure - 950 years - is given in the Bible (Genesis ix, 29) as Noah's life-span. By repeating this element of the Biblical legend, the Qur'an merely stresses the fact that the duration of a prophet's mission has nothing to do with its success or failure, since "all true guidance is God's guidance" ( 3:73 ) - and, as we are so often told in the Qur'an, "God guides [only] him that wills [to be guided]". Thus, the reference to Noah is meant to reassure the believer who may be distressed at seeing the majority of his fellow-men refuse to accept, all at once, a truth which appears self-evident to him.
The story of Noah and his Flood is not told here. It is told in other places; e.g., see xi. 25-48 or xxvi. 105-22. It is only referred to here to point out that Noah's period lasted a long time, 950 years. (Cf. Gen. ix. 28-29, where his whole age is declared to have been 950 years, of which 350 years were after the Flood). In spite of this long period, his contemporaries failed to listen, and they were destroyed. But the story of the Ark remains an everlasting Sign and Warning to mankind-a Sign of deliverance to the righteous and of destruction to the wicked.