June 2013

Count your steps


Oh, how I wish I were young again!

This wish to be young again took hold of me when I saw my neighbour's 12-year-old son leaping up the stairs two at a time. Now, I could not do that.

Well, I was walking down taking one step at a time. I had walked down seven steps when I saw the boy start from the bottom, and make a rush for the top.

I continued walking down in my slow one-step pace. The boy, on the other hand, climbed two steps at a time; he was an energetic little fellow.

There were still four steps left for me to walk down when I saw that the boy had already reached the top.

It is then that I let out a sigh and wished I were young again. It suddenly occurred to me that I had never counted the number of steps the staircase had. I did not want to climb up the stairs there and then (you know the reason!) to count the number of steps. But from the information that I have provided, can you help me find out the number of steps.

I will repeat the essential details:

1. I had walked down seven steps when the boy started from the bottom.

2. I had yet to walk down four steps to reach the bottom when the boy had already reached the top.

3. The boy had climbed two steps at a time throughout.

Click here for the solution

Some useful links for
your career:

  • Union Public Service Commission - www.upsc.gov.in
  • IIT-Kharagpur - www.iitkgp.ac.in
  • Indian Statistical Institute - www.isical.ac.in
  • Indian Institute of Technology Madras - www.iitm.ac.in
  • Indian Institute of Management, Ahmedabad - www.iimahd.ernet.in
  • Indian Institute of Mass Commission - www.iimc.nic.in
  • IIT Bombay - www.iitb.ac.in
  • Indian School of Mines, Dhanbad - www.ismdhanbad.ac.in
  • Birla Institute of Technology, Ranchi - www.bitmesra.ac.in
  • Central Institute of Fisheries Nautical and Engineering Training - www.cifnet.nic.in
  • Indian Institute of Information Technology, Allahabad (Deemed University) - www.iiita.ac.in
  • Central Marine Fisheries Research Institute, Kochi - www.cmfri.com
  • Tata Institute of Social Sciences, Mumbai - www.tiss.edu

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