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When do you have Rs.60

October 18, 2014 by Essaki Muthu 14 Comments

You are depositing Rs. 3 in First day and Rs. 3 in Second day in your account. And you are withdrawing Rs. 4 from your account in Third day. You do this repeatedly. When soon do you have Rs. 60?

Check your answer:-

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After third day you will have Rs.2 in your account (3+3-4). So your account will gain Rs.2 every 3rd day.

Thus you would have reached Rs. 60 in (60/2)*3 = 90 days, but important thing to notice is that you are withdrawing Rs. 4 on every third day so your balance will reach Rs.60 mark earlier than that.

So, if we observe we will reach (60-6)=Rs.54 in (54/2)*3=81 days, and as you will deposit Rs.6 in next two days, you will reach Rs.60 in 83days.

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Which is better scheme?

October 15, 2014 by Essaki Muthu 3 Comments

For a TV (worth Rs. 50000), a showroom announced two discount schemes.

First scheme is 65% discount.

Second scheme is ‘Ten times 10% discount on price over and over’.

Which one do you choose and why?

Check your answer:-

Tried enough already?
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Lets say initial price is X rs, price after 10% discount will be.

X – X*10/100 = 90X/100, final price is 9/10th of initial price.

Thus price after 10 times discount of 10% over and over will be X(9/10)^10 = 0.3486X.

While price after 65% discount will be 0.35X.

Thus it will be more beneficial to choose Second scheme.

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Colour of the Bear?

October 9, 2014 by Essaki Muthu 8 Comments

A Bear has fallen from a height of 10m from ground. It reached ground in sqrt(2) seconds. Luckily it didn’t get hurt.

What is the color of that Bear? Prove it scientifically.

[Read more…]

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