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LIC AAO Prelims PYP >> Feb 17, 2023 Shift 2 >> Quantitative Aptitude

Question :

In two matches 1^st and 2^nd, the ratio of the number of runs scored by a batsman was 11: 15 respectively. In 3^rd match, he scored 50% more than that of the 1^st match then the average runs of three matches became 170. What was the average runs scored by him in 1^st and 3^rd match?

1. 110

2. 135

3. 112.5

4. 170

5. 165

Correct Answer : 5

Solution :

Let in 1^st match, runs scored by the batsman be 11a then in second match, the runs scored by the batsman = 15a

In 3^rd match, runs scored by the batsman = 150% of 11a = 16.5a

The sum = 11a + 15a + 16.5a = 42.5a = 170*3

a = 12

The runs scored by the batsman in 1^st and 3^rd match together = 11a + 16.5a = 27.5a = 27.5*12 = 330

The required average = 330/2 = 165

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