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Trump: 'Some people would say men are insulted by' Biden promise to pick female VP

President TrumpDonald John TrumpGiuliani goes off on Fox Business host after she compares him to Christopher Steele Trump looks to shore up support in Nebraska NYT: Trump had 7 million in debt mostly tied to Chicago project forgiven MORE on Tuesday speculated that men could be "insulted" by presumptive Democratic presidential nominee Joe BidenJoe BidenGiuliani goes off on Fox Business host after she compares him to Christopher Steele Trump looks to shore up support in Nebraska Jeff Daniels narrates new Biden campaign ad for Michigan MORE's promise to pick a woman to be his running mate.

Speaking with Clay Travis on Fox Sports Radio, the president said Biden had "roped himself into a certain group of people" with his debate stage promise to pick a woman to share the ticket.

"I would be inclined to go a different route than what he's done," he told Travis. "First of all, he roped himself into a certain group of people, which is fine."

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"He said he had to pick a woman," Travis responded.

"He said that, and you know, some people would say that men are insulted by that and some people would say it is fine," Trump added. "I don't know. I will say this: People don't vote for the vice. ... People don't vote for the vice president. They really don't, the don't vote for the vice president. You could pick George Washington to be your vice president. Let's pick up Abraham Lincoln coming back from the dead."

Trump then went on to make a veiled reference to claims about the former vice president's mental sharpness and acuity, a frequent topic of discussion for the president and his allies.

"They just don't seem to vote for the vice president. Now in this case, you know, cause Joe's got some things going on, let's not kid ourselves, unless you — I don't know where your politics are, but Joe's got some pretty big things going on. So this is going to be a very important pick, and it will be interesting to see who he chooses," the president continued.

Biden's campaign did not immediately return a request for comment from The Hill. The former vice president is set to announce his running mate in the coming days, with media reports indicating that former national security adviser Susan Rice and Sen. Kamala HarrisKamala HarrisBiden pushes into Trump territory The Hill's Campaign Report: One week from Election Day | Biden looks to expand map | Trump trails narrowly in Florida, Arizona The Hill's 12:30 Report - Presented by Facebook - One week out, where the Trump, Biden race stands MORE (D-Calif.) are among his top remaining candidates for the job.