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For cycle-to-work commuters and those who start the day with a brisk walk, the benefits of banking some early exercise is well understood.

Now scientists believe activity is not just a good idea for improving the day ahead – physical activity could be associated with small increase in memory scores …

Collins dictionary went with “brat”. Oxford

chose “brain rot”

. But in a brutally divided country, the US’s premier dictionary skipped the slang: Merriam-Webster’s word of the year is “polarization”.

The announcement comes in an election year that put the concept on display, as Kamala Harris warned of …

Earlier today

I set you the following puzzle, which I read in the new Sally Rooney novel, Intermezzo. Here it is again with the solution.

A liar who always lies says “All my hats are green.”

Can we conclude that he has some hats?

…

It measures just 4cm squared but it possesses almost inconceivable speed.

Google has built a computing chip that takes just five minutes to complete tasks that would take 10,000,000,000,000,000,000,000,000 years for some of the world’s fastest conventional computers to complete.

That’s 10 septillion years, a number that far exceeds the …

Midway though the new Sally Rooney novel, Intermezzo, two of the characters discuss a puzzle about hats. I thought it would make a perfect puzzle for this column, so here it is.

A liar who always lies says “All my hats are green.”

Can we conclude that …

It is the week of the Geminid meteor shower. Active between 4 and 20 December, the shower will reach its peak on the night of 14-15 December. The chart shows the view looking east from London at 22.00 GMT.

Watching meteors is a game of patience. It is best to …

Eurostar is the worst-performing rail service on the continent and Germany’s Deutsche Bahn is one of the least reliable, according to a ranking of 27 European operators.

The report from the campaign group Transport and Environment (T&E) scored Europe’s rail operators on factors such as ticket prices, punctuality and willingness …

Researchers are preparing to make one of science’s most unusual journeys. They are planning to transport a container of antimatter in a lorry across Europe.

Antimatter is the most expensive material on Earth – it’s estimated it would cost several trillion dollars to make a gram – and it can …

The archived website of Australia’s surfing bible jars, with its banner of 10 years ago promising “news, blogs, video and girls”. In the girls sub-menu, there are links to something called “vixen”, “poster girls”, videos and someone called Miss Bintang.

That was wrong, Tracks magazine’s long-time editor admits. “There are …

The row over the government’s

decision to slash winter fuel payments

is set to be reignited after new evidence revealed that more than 1 million older people are skipping meals because of financial concerns.

The fresh study also suggested that millions are already cutting down on their …

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