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UPSC 2009: Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut?
(a)27
(b)36
(c)43
(d)480
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Not attemptedCorrect Answer: (b) 36
The greatest common divisor of 78, 104, 117 and 169 is 13. Cutting each rod into 13-cm pieces yields 78/13 = 6, 104/13 = 8, 117/13 = 9 and 169/13 = 13 pieces, i.e. 6 + 8 + 9 + 13 = 36 pieces in all. ([selfstudyhistory.com](https://selfstudyhistory.com/2015/04/12/prelims-ias-general-studies-solved-paper-with-explanations-2009-part-2/?utm_source=openai))
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Frequently Asked Questions
What is the correct answer to this UPSC 2009 Science & Technology question?▼
The correct answer is option (b): 36. 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 2009, GS Paper 1, as Question 101. 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.