Algebra - Number Theory - Previous Year CAT/MBA Questions
The best way to prepare for Algebra - Number Theory is by going through the previous year Algebra - Number Theory XAT questions. Here we bring you all previous year Algebra - Number Theory XAT questions along with detailed solutions.
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Three Vice Presidents (VP) regularly visit the plant on different days. Due to labour unrest, VP (HR) regularly visits the plant after a gap of 2 days. VP (Operations) regularly visits the plant after a gap of 3 days. VP (Sales) regularly visits the plant after a gap of 5 days. The VPs do not deviate from their individual schedules. CEO of the company meets the VPs when all the three VPs come to the plant together. CEO is one leave from January 5th to January 28th, 2012. Last time CEO met the VPs on January 3, 2012. When is the next time CEO will meet all the VPs?
- (a)
February 6, 2012
- (b)
February 7, 2012
- (c)
February 8, 2012
- (d)
February 9, 2012
- (e)
None of the above
Answer: Option C
Text Explanation :
VP (HR) visits on every third day, VP (Operations) visits on every fourth day and VP (Sales) visits on every sixth day.
Hence, all of them will visit together on every twelfth day.
Now, all VPs visited together on January 3, 2012.
Hence, they will visit on, 15th January, 27th January, 8th February and so on.
Hence, option (c).
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