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Aptitude · Q146

Simplification

Competitive Exams · Aptitude · question 146

Q146

A body of 7300 troops is formed of 4 battalions so that 1/2 of the first, 2/3 of the second, 3/4 of the third and 4/5 of the fourth are all composed of the same number of men. How many men are there in the second battalion?

A body of 7300 troops is formed of 4 battalions so that of the first, of the second, of the third and of the fourth are all composed of the same number of men. How many men are there in the second battalion?
A.
1500
B.
1600
C.
1800
Answer
D.
2400

Answer: Option C

Solution

Answer: Option C
Solution:
Let the number of men in the 1st, 2nd, 3rd and 4th battalions be x, y, z and t respectively.
Then,