Tech
Study Finds AI Models Get Basic Math Wrong Around 40 Percent of the Time
Artificial intelligence (AI) tools are increasingly used for everyday calculations, but a new study suggests users should approach their answers with caution. Researchers from the Omni Research on Calculation in AI (ORCA) found that when tested on 500 real-world math prompts, AI models had roughly a 40 percent chance of producing an incorrect result.
The study evaluated five widely used AI systems in October 2025: ChatGPT-5 (OpenAI), Gemini 2.5 Flash (Google), Claude 4.5 Sonnet (Anthropic), DeepSeek V3.2 (DeepSeek AI), and Grok-4 (xAI). None of the models scored above 63 percent overall, with Gemini leading at 63 percent, Grok close behind at 62.8 percent, and DeepSeek at 52 percent. ChatGPT-5 scored 49.4 percent, while Claude trailed at 45.2 percent. The average accuracy across all five models was 54.5 percent.
“Although the exact rankings might shift if we repeated the benchmark today, the broader conclusion would likely remain the same: numerical reliability remains a weak spot across current AI models,” said Dawid Siuda, co-author of the ORCA Benchmark.
Performance varied across categories. AI models performed best in basic math and conversions, with Gemini achieving 83 percent accuracy and Grok 76.9 percent. ChatGPT-5 scored 66.7 percent in the same category, giving a combined average of 72.1 percent—the highest across the seven tested categories. Physics proved the most challenging, with overall accuracy dropping to 35.8 percent. Grok led this category at 43.8 percent, while Claude scored just 26.6 percent.
Some AI systems struggled more than others in specific fields. DeepSeek recorded only 10.6 percent accuracy in biology and chemistry, meaning it failed nearly nine out of ten questions. In finance and economics, Gemini and Grok reached 76.7 percent, while the other three models scored below 50 percent.
The study also categorized the types of mistakes AI makes. “Sloppy math” errors, including miscalculations or rounding issues, accounted for 68 percent of mistakes. Faulty logic errors represented 26 percent, reflecting incorrect formulas or assumptions. Misreading instructions accounted for 5 percent, while some AI simply refused to answer. Siuda noted that multi-step calculations with rounding were particularly prone to error.
The research highlights the importance of verifying AI-generated calculations. “If the task is critical, use calculators or proven sources, or at least double-check with another AI,” Siuda advised.
All 500 prompts used in the study had one correct answer and were designed to reflect everyday math tasks, including statistics, finance, physics, and basic arithmetic. The findings indicate that while AI can assist with calculations, it remains unreliable for precise numerical work and users should remain cautious when relying on these tools.
Tech
John Ternus Takes Over as Apple CEO After 15-Year Tim Cook Era
Apple has appointed John Ternus as its new chief executive, ending Tim Cook’s 15-year tenure at the top of the technology company and beginning a new chapter as Apple faces mounting competition in artificial intelligence.
Ternus formally took over from Cook on Tuesday, inheriting a company valued at about $4.6 trillion. When Cook became CEO in 2011, Apple was worth less than $350 billion. Under his leadership, the company expanded its product portfolio, grew its services business and became one of the world’s most valuable companies.
Cook will remain with Apple as executive chairman, allowing the company to retain his experience and relationships during the leadership transition.
The change comes at a crucial moment for Apple. Artificial intelligence is reshaping the technology industry, creating pressure on major companies to develop powerful AI systems and integrate them into consumer products.
Apple has faced criticism over the pace of its AI development. The company began promoting a new generation of AI features nearly two years ago, but several promised improvements were delayed as Apple worked to develop the technology.
The company has since announced further AI upgrades, including improvements to its Siri voice assistant. Apple has stressed privacy and practical uses as it seeks to narrow the gap with competitors that have moved more aggressively into generative AI.
Ternus, a hardware engineering specialist, will now have to address challenges that extend well beyond product design. His responsibilities will include strengthening Apple’s position in AI while managing supply chain risks and complex international relationships.
Relations with US President Donald Trump are expected to be another important issue. Trump publicly praised Cook on Tuesday, highlighting the relationship the former CEO developed with the administration.
Cook spent years managing the impact of US trade policies and tariffs on Apple, particularly measures affecting Asian countries where many components are produced and assembled.
His continued role as executive chairman is expected to help Apple maintain important contacts as the company deals with trade policy and other political pressures.
Ternus is not new to Apple’s most important products. During Cook’s tenure, he worked on major devices and technologies including the Apple Watch, AirPods and Apple Vision Pro.
His background in hardware has made him a central figure in Apple’s product development and positioned him as one of the company’s most prominent engineering leaders.
The new CEO will make his first major public appearance in the role next week when Apple unveils its latest iPhone at the company’s headquarters in Cupertino, California.
The launch will offer an early test of how Ternus presents himself to consumers and investors while taking responsibility for a company entering a period of significant technological and competitive change.
Tech
Taiwan’s AI Stock Boom Fuels Borrowing Frenzy as Investors Chase Big Gains
Taiwan’s booming stock market has encouraged a growing number of investors to borrow heavily to buy shares, with some taking out bank loans or remortgaging their homes in hopes of profiting from the island’s AI-driven technology rally.
The Taiwan stock market surged 59 per cent during the first half of the year, driven largely by strong demand for artificial intelligence hardware produced by companies including Taiwan Semiconductor Manufacturing Co. The sharp rise has attracted investors who believe technology stocks still have room to climb.
Real-estate worker Lucas Chen, 34, borrowed NT$5 million, about €136,000, to increase his stock investments. Within six months, his technology holdings had risen by almost 70 per cent, increasing the value of his portfolio by roughly NT$20 million, or €544,000, by late June.
About half of Chen’s investments were in TSMC, which represented around 45 per cent of the Taiwan Stock Exchange at the end of 2025. He used his Tesla as collateral for two of three bank loans.
Chen, who has traded stocks for a decade, said he believed borrowing could be manageable if investors carefully calculated the risks.
However, the rapid expansion of debt-funded trading has also brought significant losses. Financial influencer Yeh Yu-shuo, whose Facebook investment group has hundreds of thousands of members, said some users had reported severe emotional distress after losing money.
One anonymous investor said he had put NT$10 million into the market, including NT$6 million borrowed through a mortgage, and had lost almost half of the amount. The investor described waking during the night in panic and said he had sought professional help.
The risks have grown as the technology rally became more volatile. Global markets reached record levels earlier this year as companies increased spending on AI data centres, hardware and software. The rally weakened in July as investors questioned whether the huge investments would generate sufficient returns and worried that technology stocks had become too expensive.
Taiwanese investors have increasingly turned to banks and brokers to finance their purchases. Margin trading, which allows investors to buy securities with borrowed money, rose nearly 20 per cent during the first half of the year compared with the previous six months, according to Taiwan Stock Exchange data.
Norman Yin, a money and banking professor at National Chengchi University, said younger investors had been buying stocks at an unusually rapid pace. He said banks were willing to lend as deposits remained high and property prices had been relatively stagnant.
Authorities have warned investors about the dangers of taking on excessive debt. Taiwan’s Financial Supervisory Commission said overall credit risk remained under control, while the stock exchange has published social media videos warning younger investors about the consequences of failing to repay loans.
The market has also shown how quickly gains can disappear. Taiwan’s benchmark index fell about 16 per cent between its June 22 record and July 30 before recovering most of the losses.
Despite the volatility, many investors remain optimistic. Chen said the market represented a major opportunity for his generation, while Yeh said he remained confident as long as TSMC continued to perform strongly.
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