How many rooms will be remained open

Assignment Help Mathematics

Reference no: EM131066469

There were 1000 rooms in a school all with doors closed initially. One day 1000 students were called and numbered from 1 to 1000. Now, each student was sent one by one and could change the status of room only if his own number divides the room number perfectly. Means, for example, student number 1 could open all the rooms which were closed initially since 1 divides all 1 to 1000. Similarly student 2 could change the status of only even room numbers since only room numbers 2,4,6,8,10,12,..,1000 are divisible by 2. Changing the status of room means if the room is closed make it open and vice verse. So after 1000 students done their jobs, how many rooms will be remained open ?

Reference no: EM131066469

Questions Cloud

Determine net present values of each investment alternative : An investor is deciding between two investment alternatives. Alternative A requires outlays of $50,000 in each year of the first 5 years and net returns of $80,000 are expected in each of years 4, 5, 6, 7 plus a salvage value of $50,000 in year 9. Us..

Which risk management phase is most important and why : There are three phases of risk management that has been established. Which one of these phases is most important and why? If you don't feel one phase is more important please make a case.

First complex bank account : If you made a $18,000 deposit in each bank, how much more money would you earn from your First Complex Bank account at the end of 12 years.

Determine the amount of principal repayment over year : A person borrowed $20,000 at an interest rate of 2% c.m. and agreed to repay the loan by making equal monthly payments of $X for 3 years. Determine the amount of principal repayment over year 2.

How many rooms will be remained open : Changing the status of room means if the room is closed make it open and vice verse. So after 1000 students done their jobs, how many rooms will be remained open ?

What is the after-tax cost of the second bond : Jiminy’s Cricket Farm issued a bond with 15 years to maturity and a semiannual coupon rate of 6 percent 2 years ago. The bond currently sells for 95 percent of its par value. The company’s tax rate is 40 percent. What is the after-tax cost of the fir..

What role stimulus appraisal in dictating emotional response : Discuss and explain what is meant by the following quote from the module: "Emotions are said to motivate behavior, particularly toward a goal."

What is the equity multiplier : Benson Inc. has a debt/equity ratio of 2.50. The return on assets is 8 percent, and total equity is $360,000 a) What is the equity multiplier? Equity Multiplier =----------

Structured with interest received at fixed or floating rate : Monsanto needs to raise EUR50,000,000 and decides to raise this money by issuing dollar denominated bonds and using a currency swap to convert the dollars to euros. Should the swap be structured with interest paid at a fixed or a floating rate? Why? ..

User Account

All Pages