The most common and most likely answer to this crossword clue is the 6 letter word GRILLS
I've seen this crossword clue in Financial Times
G
R
I
L
L
S
Buddy explains!

The straight part
We know that "Questions" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case questions = grills.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does GRILLS mean?
GRILLS noun- A grating; a grid of wire or a sheet of material with a pattern of holes or slots, usually used to protect something while allowing the passage of air and liquids. Typical uses: to allow air through a fan while preventing fingers or objects from passing; to allow people to talk to somebody, while preventing attack.
- On a vehicle, a slotted cover as above, to protect and hide the radiator, while admitting air to cool it.
- A cooking device comprising a source of radiative heat and a means of holding food under it; a broiler in US English
- A cooking device comprising a source of radiative and convective heat and a means of holding food above it; a barbecue.
- Food (designed to be) cooked on a grill.
- A grillroom; a restaurant serving grilled food.
- A type of jewelry worn on the front teeth.
- (by extension) The front teeth regarded collectively.
- To cook (food) on a grill; to barbecue.
- To cook food under the element of a stove or only under the top element of an oven – broil, salamander.
- To interrogate; to question aggressively or harshly.
- To feel very hot; to swelter.
- To stamp or mark with a grill.
- To make angry; provoke; incite.
- To terrify; make tremble.
- To tremble; shiver.
- To snarl; snap.
- Harm.