Well, the Hijri date 11 Jumada Al Oula 1369 corresponds to the Gregorian date Monday, 27 February 1950. This date lies in the fifth month of the Hijri year 1369 AH, which is Jumada Al-Awwal of 1369 AH. Both this Hijri and Gregorian date occur on the single day that is Monday without any doubt. The Arabic date 1369/05/11 is calculated using the Umm Al-Qura calendar and the sighting of the moon. One thing to remember is that this Arabic date may occur on different Gregorian date depending upon the region and country and obviously the moon.
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The following is the conversion of the Gregorian date 27 February 1950 to its equivalent Arabic date.
The following is the conversion of the Arabic date 11 Jumada Al Oula 1369 AH to its equivalent Gregorian date.
فَأَخْرَجَ لَهُمْ عِجْلًۭا جَسَدًۭا لَّهُۥ خُوَارٌۭ فَقَالُوا۟ هَٰذَآ إِلَٰهُكُمْ وَإِلَٰهُ مُوسَىٰ فَنَسِىَ
Then he produced for them a calf, of saffron hue, which gave forth a lowing sound. And they cried: This is your god and the god of Moses, but he hath forgotten.
Surah Taa-Haa(20:88)
Sahih al-Bukhari
Fighting for the Cause of Allah (Jihaad)
Chapter: The (leather) shield
Narrated `Aisha:
Allah's Messenger (ﷺ) came to my house while two girls were singing beside me the songs of Bu'ath (a story about the war between the two tribes of the Ansar, i.e. Khazraj and Aus, before Islam.) The Prophet (ﷺ) reclined on the bed and turned his face to the other side. Abu Bakr came and scolded me and said protestingly, "Instrument of Satan in the presence of Allah's Messenger (ﷺ)?" Allah's Messenger (ﷺ) turned his face towards him and said, "Leave them." When Abu Bakr became inattentive, I waved the two girls to go away and they left. It was the day of `Id when negroes used to play with leather shields and spears. Either I requested Allah's Messenger (ﷺ) or he himself asked me whether I would like to see the display. I replied in the affirmative. Then he let me stand behind him and my cheek was touching his cheek and he was saying, "Carry on, O Bani Arfida (i.e. negroes)!" When I got tired, he asked me if that was enough. I replied in the affirmative and he told me to leave.
Sahih al-Bukhari 2906, 2907