Recent content by viren_t2005

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    How Many Steps Visible on an Inactive Escalator?

    An escalator is descending at constant speed . A walks down and takes 50 steps to reach the bottom. B runs down and takes 90 steps in the same time as A takes 10 steps. How many steps are visible when the escalator is not operating?
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    Who Won the Race? Analyzing Stride Lengths of Three Children

    Jack, Dough and Ann, 3 children had a race when returnung from school. Ann takes 28 steps when dough takes 34 steps , meantime Jack takes 21 steps. Jack explained that his 6 steps equals dough's 7 steps and Ann's 8 steps . Who won the race?
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    Algorithm for min times the ball to be weighted

    There are 6561 balls out of them 1 is heavy. Find the min. no.of times the ball have to be weighted for finding out the heavy ball.
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    Calculating the number of steps in an escalator

    There is a escalator and 12 persons move down it. A takes 50 steps and B takes 75 steps while the escalator is moving down.Given that the time taken by A to take 1 step is equal to time taken by B to take 3 steps. Find the no.of steps in the escalator while it is stationary
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    What is the speed of the car in miles per hour?

    Everyday a cyclist meets a car at the station. The road is straight and both are traveling in the same direction. The cyclist travels with speed of 12mph. One day the cyclist comes late by 20 min. and meets the car 5 miles before the station. What is the speed of the car?
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    Number of periodic events in a given time span

    Light glows for every 13 seconds. How many times did it glow between 1:57:58 and 3:20:47am
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    How Often Do the Hands of a Watch Meet Incorrectly?

    The minute and hour hand of a watch meet every 65 minutes. How much does the watch lose or gain and by how much?
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    What is the average speed of the driver.

    A car travellinf at a uniform speed. The driver sees a milestone showing 2-digit number.After traveling for an hour the driver sees another milestone with same digits in reverse order. After another hour the driver sees another milestone containing the same 2 digits. What is the average speed of...
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    Graduate Prove by induction that 2^1/2 is irrational.

    the name of the book from where I have taken this problem is "Challenges & Thrills of Pre-college Mathematics" by krishnamurthy & venkatachala.
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    Graduate Prove by induction that 2^1/2 is irrational.

    ya I know that there is a standard proof buit has been asked in one of the books of maths olympiad.
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    Prove 1/2+1/4+1/8+...+1/2^n < 1

    how to prove that 1/2+1/4+1/8+...+1/2^n is always less than one?
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    Undergrad Solving (2^1/2-1)^10: A Short & Appropriate Method?

    express (2^1/2-1)^10 in the form k^1/2-(k-1)^1/2 where k is a positive integer.{the square roots need not be irrational}we can do this by binomial theorem but it is very tedious.is there a short & appropriate method to solve this problem?
  13. V

    Graduate Prove by induction that 2^1/2 is irrational.

    Prove by induction that 2^1/2 is irrational.
  14. V

    What Steps Are Crucial for Effective Problem Solving?

    How Can We Solve This Problem?
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    Undergrad Solving Complex Problems Without Expansion

    How can we solve this without expanding?