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A person performs half of his journey by train, one-third by bus, and the remaining 5…

Paper 1 · Mathematical Reasoning and Aptitude
A person performs half of his journey by train, one-third by bus, and the remaining 5 km by auto rickshaw. Find his total journey.
A30 km ✓ Correct
B25 km
C36 km
D40 km
Correct answer: (A) 30 km — His total journey is 30 km, so that is the answer.
Explanation
His total journey is 30 km, so that is the answer.
Let the total journey be one whole.
Half by train and one-third by bus together is 1/2 plus 1/3, which is 5/6 of the journey.
So the remaining part is 1 minus 5/6, which is 1/6 of the journey.
This 1/6 equals the 5 km done by auto rickshaw, so the whole is 5 times 6.
This gives a total journey of 30 km.

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