Aptitude- IBM-IPAT- Percentages and Probability

A cell phone company offers insurance that covers cases of theft and accidental water damage. According to its policy, the insurance pays 60% or 50%, respectively, of the value of the phone after a $30 deductible. This means the client pays the first $30, after which the insurance pays 60% of the remaining amount in the case of a theft and 50% in the case of accidental water damage.

How much will a client pay to get an identical new phone, if her cell phone, worth $1,080, was stolen?

A cell phone company offers insurance that covers cases of theft and accidental water damage. According to its policy, the insurance pays 60% or 50%, respectively, of the value of the phone after a $30 deductible. This means the client pays the first $30, after which the insurance pays 60% of the remaining amount in the case of a theft and 50% in the case of accidental water damage.

How much will a client pay if her cell phone worth $1,080 was accidently dropped into a glass of water? ?

Due to an increase in taxes on electronic devices, the price of a 46" LED flat-screen TV has increased to $845, which is a 30% increase over the original price. What was the original price of the TV prior to the increase?

In 2012 Mary earned $80,000. If Mary's salary decreases by 10% each year, when will she earn $58,320?

In the "Smartest and the Brightest" college there are 180 elite students. 70% of them major in physics, 20% major in math and 5% major in both.
How many students major in unmentioned subjects?

In 2006, forest rangers caught and tagged a randomly picked group of bears that live in the "Beary Cute" reserve. They counted 300 bears before releasing them back to nature. During 2007, the rangers gathered a group of 500 bears, 200 of which had tags from the previous year. The distribution within the 2007 group represents the relative part of tagged and non-tagged bear populations of the reserve. What is the total bear population in the reserve, assuming no change in population occurred between 2006 and 2007?

When a client of the "Money & Money" bank wishes to take a loan, his request must go through the proper channels. The request must first be reviewed by the manager and then by the loan consultant, who will review the case independently. Each of them recommends whether to approve or decline the request. Only a request that has been approved by both the manager and the consultant can be implemented.
The likelihood that a request will be approved by the manager is 90%. The likelihood that a request will be approved by the loan consultant is 80%.

What are the odds of being approved for a loan?

When a "Mackelmore & Sons" bank client wishes to take a loan, his request must go through the proper channels. The request must first be reviewed by the manager and then by the loan consultant, who will review the case independently. Each of them recommends whether to approve or decline the request. Only a request that has been approved by both the manager and the consultant can be implemented.

The likelihood that a request will be approved by the manager is 90%.
The likelihood that a request will be approved by the loan consultant 80%.

What are the chances of the decisions made by the manager and the consultant being different?

Chris would like to purchase a 52" LED television. He has already saved 3/5 of the cost of the television. His family offered to pay 33% of the price as a birthday present so now he only has to save an additional 63 pounds in order to be able to afford the television. How much does the television cost?

One box of marbles contains 3 green and 7 blue marbles. A second box of marbles contains 15 green and 13 blue marbles. If one marble is chosen randomly from each box, what is the probability that both marbles chosen will be green?