Question

account based on oral sources
muhammad led a group of about 300 men on foot from medina to badr. at badr, they met about 1,000 meccans who were much better equipped, with horses, camels, and protective clothing. muhammad told his men to wait for his order before attacking. as the meccans began approaching, a sandstorm struck and weakened their attack. muhammad then ordered his men to advance, and they were able to defeat the meccans.

account from the quran
allah gave you victory in the battle of badr, where your forces were much weaker than those of the enemy. . . . remember when you said to the believers, \is it not enough that your lord is helping you with a force of three thousand angels sent (from the heavens)?\
al imran 3:123 - 4 in muhammad sarwar, the holy quran: arabic text and english translation. copyright 2011 by the islamic seminary.

which detail is included in both accounts of the battle of badr?

god sent angels to help the men from medina fight the meccans.
a sandstorm helped muhammads men defeat the meccan army.
the muslims from medina won because they had more powerful weapons.
the army from medina was able to defeat the more powerful meccan army.

Explanation:

1. Check the first option: Only the Quran account mentions angels, so it is not in both.
2. Check the second option: Only the oral source account mentions a sandstorm, so it is not in both.
3. Check the third option: Both accounts state the Meccans were better equipped/stronger, so this is false.
4. Check the fourth option: The oral account says Muhammad's men defeated the better-equipped Meccans; the Quran account says Allah gave victory to the weaker Muslim forces (from Medina) over the enemy. This detail is present in both.

Answer:

The army from Medina was able to defeat the more powerful Meccan army.