Route to Mumbai! Can you help the traveler? #trickyquestion #PGEE #twodoorsriddle


Hello Innovators!

Month of April is getting interesting with each week passing by with amazing mind boggling riddles! This month we did solve the reasoning problem of finding #cherylsbirthday. And just when the fun wasnt over, PGEE-15 gave the #twodoorsriddle problem as part of their GA section. They asked the riddle with a traveler who wishes to go to Mumbai. Lets see the complete problem statement…

A traveler wants to go Mumbai from Bengaluru. He decided to walk a certain road. Suddenly he meets a divergence in the road with two roads forking the road he was travelling. He knows for certain that one of these road goes to Delhi, while the other one goes to Mumbai. However he doesn’t know which is the correct one. He sees a small tea shop at the divergence. The tea shop is owned by identical twin brothers. There is no way you can differentiate between them by their physical appearance or by their voice. On reaching the tea shop, traveler finds out that one of these brothers always speak truth, while the other one always lies. But who speaks truth or lie is also unknown. Now the traveler’s dilemma is that he wants to find the route to Mumbai, but the twin brothers are as stubborn as the Genie in a bottle! And they give just one chance (unlike the Genie of Alladin who gives 3 wishes ¬†ūüė¶ ). So the traveler can ask one question, and only one¬†from any one of the brothers. What should he ask and to which brother? Can you help him?

P.S.Sorry, I added some masala to the story. Couldn’t resist… ūüė¶

Tell us in the comments below what should the traveler do?

take me to solution

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And its’ Cheryl’s Birthday! #CherylsBirthday


Well we dont know the the date yet But you will know by the end of this post!! So This question is a reasoning based Math problem posted by¬†Kennethjianwen¬†on FB, was question in¬† Singapore and Asian School Math Olympiads‘s Math Olympiad!

cheryl'sBirthday

The Question seems tricky but once you figure out the trick Question becomes fun and interesting! So lets get started!!

First of I would give credit to Khan Academy video for helping me with the trick.

So the Trick is: WRITE DOWN THE FACTS!

Yes thats the trick! Confused?? Let me tell you how…

Albert, Benard and Cheryl are friends. Cheryl has told the Month of her birthday to Albert and Date to Benard! And 10 possible dates are given! 

So lets see what Albert Knows:

Month               Possible dates

May                   15, 16, 19

June                  17, 18

July                   14, 16

Aug                   14, 15, 17

And what Benard knows:

Date                Possible Month

14                    July, Aug

15                    May, Aug

16                    May, July

17                    June, Aug

18                    June

19                     May

Now its clear from Benards’ information that if the date is 18 or 19, Benard will know the birthday date and month immediately, as there are only 1 options for those. And clearly Albert does not know because there are multiple dates for every month.

But look at the conversation between Benard and Albert,

Albert says: ¬†I dont know when Cheryl’s Birthday is, But I Know that Benard does not know too!

Now, Albert is sure that Benard doesnt know. So in a way she is telling that the date is not 18 and 19. Because if it was 18 or 19, Benard knew the Date and month!

And Albert know this because she has been given a month which is not May or June. As only these months have dates possible 18, 19.

Thus Albert’s data left is:

Month               Possible dates

May                   15, 16, 19

June                  17, 18

July                   14, 16

Aug                   14, 15, 17

And what Benard knows:

Date                Possible Month

14                    July, Aug

15                    May, Aug

16                    May, July

17                    June, Aug

18                    June

19                     May

Now Benard would know Cheryl’s Birthday(now after Albert’s first statement)only if date given to him will be 15, 16 or 17.

Benard’s next statement is: At first I didnt knew when Cheryl’s Birthday is, But now I know!

Benards knows the Birthday!! So the date couldn’t be 14 as it has two months as¬†possibilities!

Thus Albert’s data left is:

Month               Possible dates

May                   15, 16, 19

June                  17, 18

July                   14, 16

Aug                   14, 15, 17

And what Benard knows:

Date                Possible Month

14                    July, Aug

15                    May, Aug

16                    May, July

17                    June, Aug

18                    June

19                     May

Albert next says: Then I also know when is Cheryl’s Birthday!

Now look at Albert’s data. Albert will know the birthday only if the date is 16th!

Clearly the Month is July and Date is 16.

Cheryl was born on July 16!! 

P.S.: I’m sure the whole world will be looking for Cheryl’s on July 16 (with their own reasons ;))!!

Interesting right??

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Get Inspired!


Hi Innovators,

Watch this 30 sec video to get inspired which includes quotes from the famous. These are some

of my favourites! !

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Life Paint by Volvo!


Hi Innovators!

Today’s story is on a fascinating and innovative product by the reputed¬†Swedish multinational manufacturing company. If you are a cyclist or not, this product is definitely something!

Cycling in the night is mostly a real trouble for many cyclists. Its often dark and due to its low cover protection, cyclists are often ignored on the roads. Few years back I wanted to cycle my way to and back from office. My major concerns were security as my timings were many a times late. So I had to drop the plan. I always see many drivers getting caught n accidents because if low lit cycles. Its unsafe for both the cyclists and a four-wheeler(or bigger) driver on road.

Only if cycles could be covered or be seen glowing on the roads!

Lets see the possibilities…

There is immense research going on for the fully enclosed bike designs. Lit Motors CEO Daniel Kim wants to reinvent the motorcycle as we know it today. His idea? To design and manufacture a fully enclosed, two-wheeled motorcycle that runs purely on electric.

Cool to see, if only they could be designed for manual cycling as well?? And how affordable or available for that matter, are they? I guess this will take some time to come. Did The Future People heard us??

Lets focus on what we currently have… Volvo has solved most of our problems quite easily.¬†The next video says it all…

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Hi Innovators!

We all played with magnets as kids. Remember when we used to dismantle the old speaker or those dual oval shaped
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Holi, Women’s Day & Hackathon!


Hi Innovators!

There’s so much going on this weekend!! And I decided to wish you all a very Happy and colorful HOLI in a colorful blog post. May this festival bring all good things in your life and make your life as colorful as the day itself.¬† Continue reading “Holi, Women’s Day & Hackathon!”