InterviewSolution
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1st 3 Letters Are Denoted By Its Next In The Alphabet And The Next 3 Letters Are Denoted By Its Previous In The Alphabets A Monkey Starts Climbing Up A Tree 20ft. Tall. Each Hour, It Hops 3ft. And Slips Back 2ft. How Much Time Would It Take The Monkey To Reach The Top? |
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Answer» The first hour, the monkey goes 3 feet up, and slips back 2 feet. 0.1..2..3..4..5..6 |---|---|---|---|---|---| ----------> ....<----- (Imagine that's going up instead of HORIZONTAL.) So the monkey is 3 ft - 2 ft = 1 ft high after one hour. In the second hour, the monkey goes up 3 more feet, and slips back 2 feet. So he's at 1 ft + 3 ft - 2 ft = 2 ft. Every hour, he gains 3 ft and LOSES 2 ft, for a TOTAL GAIN of 1 ft. So after the 17th hour, he's at 17 ft high. Now, here's the twist: in the 18th hour, he climbs up 3 feet. Since 17 ft + 3 ft = 20 ft, he's at the top of the tree! So, it takes him 18 hours. The first hour, the monkey goes 3 feet up, and slips back 2 feet. 0.1..2..3..4..5..6 |---|---|---|---|---|---| ----------> ....<----- (Imagine that's going up instead of horizontal.) So the monkey is 3 ft - 2 ft = 1 ft high after one hour. In the second hour, the monkey goes up 3 more feet, and slips back 2 feet. So he's at 1 ft + 3 ft - 2 ft = 2 ft. Every hour, he gains 3 ft and loses 2 ft, for a total gain of 1 ft. So after the 17th hour, he's at 17 ft high. Now, here's the twist: in the 18th hour, he climbs up 3 feet. Since 17 ft + 3 ft = 20 ft, he's at the top of the tree! So, it takes him 18 hours. |
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