Black cab drivers are to join a rally protesting against the sacking of workers at the London Taxi Company, which makes the vehicles.
The Coventry-based company went into administration last month.
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In a wide-ranging Peston on Sunday interview, he said Parliament security needs reviewing and the PM's counter-terror strategy is flawed.
The terror attack carried out by Khalid Masood at Westminster that left four people dead lasted less than two minutes say police.
Two knives were found at the scene in Islington, North London, and the suspects fled on foot before being arrested.