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UPSC 2000: What is the maximum number of pieces of 5 cm × 5 cm × 10 cm cake that can be cut from a big cake of 5 cm × 30 cm × 30 cm size?
(a)10
(b)15
(c)18
(d)30
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Not attemptedCorrect Answer: (c) 18
Both cakes share the same height (5 cm), so only the 30 cm × 30 cm base has to be tiled with 5 cm × 10 cm rectangles. Along one side of 30 cm we can place 6 blocks (30 ÷ 5 = 6) when the 5-cm edge is aligned, and along the other side 3 blocks (30 ÷ 10 = 3) when the 10-cm edge is aligned. Hence maximum pieces = 6 × 3 = 18. The official 2000 answer key also gives option (c) 18. ([focusias.in](https://focusias.in/upsc-general-studies-prelims-paper-2000/?utm_source=openai))
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Frequently Asked Questions
What is the correct answer to this UPSC 2000 Science & Technology question?▼
The correct answer is option (c): 18. Watch the detailed video explanation in our Sherlocking Prelims course on UnlockIAS.
Which year was this Quantitative Aptitude question asked in UPSC Prelims?▼
This question was asked in UPSC CSE Prelims 2000, GS Paper 1, as Question 150. It falls under Science & Technology > Quantitative Aptitude.
What is the difficulty level of this UPSC question?▼
This question is rated "easy". It tests basic recall and most well-prepared aspirants should answer it correctly.
How many UPSC Prelims questions have been asked from Quantitative Aptitude?▼
UPSC has asked 178 questions from Quantitative Aptitude (under Science & Technology) across multiple years. Visit the topic page to see the full list and year-wise trends.