Did you solve it? The most Guardian puzzle ever
The definition: the guardian of x is the next number that shares at least one digit of x.
For example: the guardian of 4 is 14, and the guardian of 59 is 65.
Guardian figures
(For all the questions, consider only the numbers 1, 2, 3, 4, and so on.)
a) Find the guardian of 17, the guardian of 79, and the guardian of 179.
b) Find two consecutive numbers with the same guardian.
c) How many numbers are exactly 9 less than their guardian?
Solutions a) 21, 87, 180. b) 19, 20, also 199, 200, and so on. c) one (the number 1)
A number's grandguardian is their guardian's guardian.
d) Who is the grandguardian of 499?
e) Whose grandguardian is 900?
Solutions d) 505, e) 898
Two numbers are cousins if they have the same grandguardian but different guardians.
f) What is the smallest pair of cousins?
Solution f) 28, 30
Thanks again to Daniel Griller, who set today's puzzle and came up with the idea of number guardians. Check out his book A Ring of Cats and Dogs.
I've been setting a puzzle here on alternate Mondays since 2015. I'm always on the look-out for great puzzles. If you would like to suggest one, email me.
Hashtags
Try Our AI Features
Explore what Daily8 AI can do for you:
Comments
No comments yet...
Related Articles
Daily Mail
20 minutes ago
- Daily Mail
Rats are taking over our gardens and block of flats because other locals dump their rubbish here
Disgusted residents have revealed how rats have 'taken over' their block of flats and gardens. Craig MacPherson, 54, insists the vermin have moved into the buildings and surrounding areas in Renfrewshire, Scotland, in 'large numbers'. He blames locals 'carelessly' dumping their rubbish and a 'lack of interest' from Renfrewshire Council as the main contributing factors. Mr MacPherson feels the problem will continue to get worse unless it is addressed 'properly' by the local authority. He said: 'I moved into my current property in June of last year after it was the last option put forward by the council in terms of social housing and have been complaining about issues from the start. 'The tenements on Ferguson Street back onto some close gardens, which are impacted heavily by the rat infestation. 'Rubbish had been building up regularly until the council finally came and removed a lot of it recently. 'However, there are still bins overflowing, which is one of the main things that attracts the rats. 'Many neighbours share my frustrations, particularly since the vermin are also getting into the building.' Mr MacPherson feels locals are fighting a 'losing battle' trying to combat the vermin and said a lot of people 'do not feel comfortable' living on the street in its current state. He continued: 'I know tenants who have left and plenty who are desperate to leave. 'The gardens are peppered with rat holes, you can hear them going mental at night around the bins and the adult males are near the size of small rabbits. 'They have a perfect habitat around the back due to the state of the place and lack of care from the council. 'The number of vermin will only continue to grow. 'The rubbish is an eyesore, and the smell from that, and the rats, is another major problem.' Mr MacPherson hopes the council can help deal with the rat issue, but 'isn't holding his breath', claiming the street has been 'abandoned' for a long time. He added: 'While I understand that some private tenants are causing issues, and the council does not have any power to resolve those problems, they could definitely do a lot more to maintain the social housing in the tenements on this street. 'Things have been abandoned for far too long, and the street has been allowed to get in this state due to a lack of care. 'It was once desirable but now it's anything but.' A spokesperson for Renfrewshire Council said: 'Our pest control team are aware of rodent issues on Ferguson Street, Renfrew, and are carrying out treatments to deal with infestations in this area. 'Residents can play their part too - as general advice, we would ask everyone ensures waste is disposed of correctly using all the bins available, and food waste is not left lying as this brings the potential for vermin and reduces the effectiveness of any treatment to eradicate any infestation. 'If you see or have concerns about vermin in your community, contact our pest control service on 0300 300 0380 or email to discuss your concerns and arrange a visit to assess any rodent activity.'
The Sun
an hour ago
- The Sun
The 99p supermarket hummus that beats Waitrose in taste test – and it's perfect for picnics
IT'S perfect for dipping, snacking and picnicking – but which supermarket hummus is the best? We've tested all the own-brand versions from the major supermarkets to see which one is the tastiest and the best value for money. 8 We've scored each hummus out of 10 for taste and 10 for value, taking into account how many chickpeas – a key ingredient - are in the recipe. Here's how they scored out of 20 overall: Tesco Hummus £1.35 for 200g The Tesco hummus had a well-balanced taste of lemon and garlic but it was quite sloppy, meaning it was difficult to keep on a breadstick dipper. The loose texture is not so surprising when you realise it contained only 41% chickpeas – much lower than the other brands we tried. At 68p per 100g, it was also one of the most expensive. Taste: 8/10 Value: 5/10 Total: 13/20 Asda Classic Hummus £1.23 for 200g Asda's hummus had a sickly sweet flavour of synthetic lemon, which made the whole thing taste a bit like plastic. But its texture was thicker than the Tesco version and chickpeas made up more than half (52%) of its ingredients. At 62p per 100g, it was middle of the range on price. Taste: 4/10 Value: 7/10 Total: 11/20 Sainsbury's Classic Hummus 99p for 200g 8 The Sainsbury's hummus had a great authentic texture, containing chunkier chickpea bits instead of just a smooth paste. But it had an acrid aftertaste of burnt garlic. At less than £1 per tub, this rivalled Aldi and Lidl's versions on price. Taste: 6/10 Value: 8/10 Total: 14/20 Morrisons Classic Hummus £1.35 for 200g We weren't very impressed with the Morrisons hummus, which had a similar sickly-sweet lemon taste to the Asda version. But it contained fewer chickpeas than Asda's variety, which meant its texture was gloopy and difficult to scoop up with a breadstick. This was also one of the more expensive versions, at 68p per 100g. Taste: 5/10 Value: 6/10 Total: 11/20 Aldi The Deli Hummus 99p for 200g 8 Aldi's hummus had a thick but smooth texture, with a tasty balance of lemon and garlic flavours. It was easy to dip and moreish – a great summer picnic treat. And at just 99p per tub, it was a bargain. Taste: 7/10 Value: 8/10 Total: 15/20 WINNER - Lidl Meadow Fresh Hummus 99p for 200g 8 The Lidl hummus was the closest thing to having a homemade or restaurant version for a bargain 99p per tub. It had a chunky texture and was packed with 54% chickpeas – the highest of all the brands we tested. Unlike the other brands, you could also taste the tahini (sesame paste) ingredient which is key in hummus and lots of garlic – but it was lacking lemon. The only issue was it was a murky grey colour which wasn't very appealing. Taste: 8/10 Value: 9/10 Total: 17/20 Essential Waitrose Hummus £1.60 for 200g 8 Waitrose's Essential hummus cost up to 60% more than the other brands we tested, but it had a low chickpea content (just 47%). The texture was a good balance of smooth and grainy chickpeas, and it was moreish, with a lemony tang. We ate it happily – but you could get other good versions for much less. Taste: 9/10 Value: 6/10 Total: 15/20 How to save money on your supermarket shop THERE are plenty of ways to save on your grocery shop. You can look out for yellow or red stickers on products, which show when they've been reduced. If the food is fresh, you'll have to eat it quickly or freeze it for another time. Making a list should also save you money, as you'll be less likely to make any rash purchases when you get to the supermarket. Going own brand can be one easy way to save hundreds of pounds a year on your food bills too. This means ditching "finest" or "luxury" products and instead going for "own" or value" type of lines. Plenty of supermarkets run wonky veg and fruit schemes where you can get cheap prices if they're misshapen or imperfect. For example, Lidl runs its Waste Not scheme, offering boxes of 5kg of fruit and vegetables for just £1.50. If you're on a low income and a parent, you may be able to get up to £442 a year in Healthy Start vouchers to use at the supermarket too. Plus, many councils offer supermarket vouchers as part of the Household Support Fund.
BBC News
2 hours ago
- BBC News
Daventry school makes improvements after funding warning
A secondary school has said it has made improvements after it was sent a government letter warning it could lose its funding - following a critical Ofsted report. The Department of Education (DofE), wrote to The Parker E-ACT Academy, Daventry, Northamptonshire, in June, stating that it had not acted quickly enough to address its "weaknesses".It said that levels of pupil absence were too high and there were several issues with staff who did not address gaps in school said the DofE had told the academy it was "satisfied" it "was able to "deliver higher standards at the school rapidly and sustainably". The action comes after an Ofsted report in May rated the quality of education, behaviour and attitudes and leadership and management as DofE letter, written by Carol Gray, regional director, said: "The school, including the trust, has not taken effective action, or acted quickly enough to address the school's weaknesses."It "requires significant improvement", the letter added. It said school work had declined and it should "ensure swift action is taken to address the priority issues that have been identified".This includes ensuring that staff have the right knowledge, expertise and ongoing support to bring about the required absence was too high and children, including those with special educational needs (SEND) were "regularly absent from school, which means they miss out on learning". The letter said pupils were not learning as well as they should and the school had to "ensure that staff check pupils' understanding so that misconceptions and gaps in learning can be addressed"."In too many subjects, staff do not make appropriate adaptations for pupils with SEND to access the curriculum," it Gray said: "I need to be satisfied that the trust has capacity to deliver rapid and sustainable improvement at the academy. "If I am not satisfied, I will consider whether to terminate the funding agreement in order to transfer the academy to an alternative academy trust." 'Journey of transformation' An E-ACT Academy spokesperson said the DofE had told the school it had "confidence in the trust to deliver higher standards at the school rapidly and sustainably". It said a new head teacher, Maughan Johnson, was put in place in April, as well as a new deputy head teacher and education the team, "we have acted quickly and decisively to address the issues raised in the January report", they said. "We are confident that this administrative process will end shortly as we continue to make the necessary improvements to our school."The Parker is already a very different place to the one inspected over half a year ago and we are fully committed to finishing this journey of transformation."They added that since the letter had been sent a month ago, it had "made significant strides, and the Department for Education has now confirmed that they have no plans for termination." Follow Northamptonshire news on BBC Sounds, Facebook, Instagram and X.
