NEW DELHI, India ((CNN) -- A stampede broke out Thursday at a government school in New Delhi, killing at least five students, police said.
The crush also left 29 others injured, said S.S. Yadav, deputy commissioner of police.
The stampede occurred on a day when rain flooded many homes and streets and snarled traffic in the congested Indian capital.
Police in New Delhi, however, made conflicting comments about whether the downpour played a role in the stampede.
Area police inspector Pankaj Sharma said flooding wasn't related to the stampede. Watch more about the crush »
But Yadav said one of the school's two playgrounds was flooded, prompting students to cluster in the other.
The stampede happened when students packed a narrow stairway from both sides, he added.
Of the five killed, some might have suffocated, according to Yadav.
Seasonal rain inundates life in New Delhi almost every year, with poor sewage and road-traffic management and creaky infrastructure contributing to flooding.
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