Latest CAT Aptitude Question SOLUTION: A frog falls into a well and is trying to escape. Each day he is able to climb up 10% of the total night in the morning, but at night he falls 5% of the total height. When will the

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(#M40156434) CAT Logical Reasoning question Time and Work Keep an EYE

A frog falls into a well and is trying to escape. Each day he is able to climb up 10% of the total night in the morning, but at night he falls 5% of the total height. When will the frog be able to come out?
(a) 10th day
(b) 11th day
(c) 19th day
(d) 20th day

Asked In CAT Sheetal Paul (8 years ago)

Solved Devendra Marghade Read Solution (4)

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Devendra Marghade  (8 years ago) Best Solution

(c) 19th day

Let the total height be 'x'
Resultant climb in a day= 0.1x - 0.05x= 0.05x
Upto 18 days, total climbing=18*0.05x=0.9x
So on 19th day, frog will cover 0.9x+0.1x= x and will come out

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Patturi Anjaneyulu  (7 years ago)

19 th day.
Because it every day it gains 5 % .....After 18 days it will be at 90 %.....
On 19th morning it Reaches 100 %..

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Ankit Sharma  (5 years ago)

19
10% forward and 5% backward then the net movement is 10-5 = 5%
frog climbs 90% in 18 days (18 * 5%)
so on the next day he will climb 10% to make it 100%

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Sanjay  (3 years ago)

Let the total height of the well be x.

The frog climbs 10% of the height each day.
10% of x = x/10.

The frog slips 5% of the height in the night.
5% of x/10 = x/200.
Percentage of the distance covered by the frog in one day = x/20-x/200 = 19x/200.

1 day - 19x/200
? - x

? * 19x/200= x
? = 200/19 = 10.5
Therefore, the frog will be out of the well on the 11th day.

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