JUST ASKING.....

• Which singing icon, whose husbands tend to be gay, has gotten very close with a never-married brunette on a network news magazine? The relationship is said to be causing anguish to the TV correspondent's longtime gal pal who launched her career . . .

• Which former TV squawker's husband is the target of a celebrity glossy? A muscular fitness trainer at an East Side gym was recently offered $20,000 to dish about the husband's sexual advances, but the trainer told the reporter, "[Bleep] off!" . . .

• Which actress has resumed her affair with a married man although she is still dating her long-term British boyfriend?

• Which faded screen siren (think "Sunset Boulevard") has special instructions for her frequent visits to Cedars-Sinai? Written on her chart, it says, "No Filipino nurses!" Explained our source, "She hates them" . . .

• Which wealthy industrialist, who summers in the south of France, was turned down when he tried to buy an apartment at the Carlyle? Prospective neighbors didn't like his reputation for partying with fast women and a very fast boat . . .

• Which young Hollywood starlet had secret gastric bypass surgery, but then lost too much weight? During a recent four-day stint at a health clinic, she was actually having an operation to remove the bypass.

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