It Was Observed by National Geographic that Equinox Happened GMAT Problem Solving

Question: It was observed by National Geographic that equinox happened on Mars and Jupiter this year. Equinox occurs every 8 years on Mars and every 34 years on Jupiter. How many years from now will the next equinox occur together in Mars and Jupiter?

1. 138
2. 272
3. 227
4. 136
5. 134

“It was observed by National Geographic that equinox happened on Mars and Jupiter this year. Equinox occurs every 8 years on Mars and every 34 years on Jupiter. How many years from now will the next equinox occur together in Mars and Jupiter?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

Answer:

Approach Solution (1):

Just find the LCM of 8 and 34

LCM of 34 and 8:

Prime factors of 34 – 2 and 17

Prime factors of 8 – \(2^3\)

Therefore LCM = \(2^3*17=136\)

Correct option: D

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