# XAT 2022 Question Paper | Quantitative Aptitude and Data Interpretation

###### XAT Previous Year Paper | XAT QADI Questions | Question 6

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Question 6 : A marble is dropped from a height of 3 metres onto the ground. After the hitting the ground, it bounces and reaches 80% of the height from which it was dropped. This repeats multiple times. Each time it bounces, the marble reaches 80% of the height previously reached. Eventually, the marble comes to rest on the ground.

What is the maximum distance that the marble travels from the time it was dropped until it comes to rest?

1. 15 m
2. 12 m
3. 27 m
4. 30 m
5. 24 m

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3 + 3(0.8) + 3(0.8) + 3$(0.8)^{2}$ + 3$(0.8)^{2}$+ 3$(0.8)^{3}$ + 3$(0.8)^{3}$ + . . . . . . . . .. .
3 + 2 [ 3(0.8) + 3$(0.8)^{2}$ + 3$(0.8)^{3}$ + . . . . . . ]