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LIC AAO Prelims PYP >> Feb 17, 2023 Shift 1 >> Quantitative Aptitude

Question :

Ratio of population of a state in 2015 to that in 2016 is 5: 7 and the ratio of male to female population in 2015 is 4: 3 while female population of the state remained same in both the years. Then, what is the ratio of male to female population of the state in 2016?

1. 19: 16

2. 34: 15

3. 11: 10

4. 33: 9

5. 29: 13

Correct Answer : 2
Solution :

Let male and female population of the state in 2015 be '4x' and '3x' respectively.

Total population of state in 2015 = 4x + 3x = 7x

Total population of state in 2016 = 7x * (7/5) = 49x/5

Female population of state in 2016 = 3x

Male population of state in 2016 = (49x/5) - 3x = 34x/5

Required ratio = (34x/5): 3x

= 34x: 15x

= 34: 15

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