# Reason + percentages - practice problems

#### Number of problems found: 119

- Non equivalent ints

Two n-digit integers are said to be equivalent if one is a permutation of the other. Find the number of 5-digit integers such no two is equivalent. If the digit 5,7,9 can appear at most one, how many non-equivalent five-digit integers are there? - Probability 72324

We used the digits 2, 3, 4, 5, and 7 when entering the PIN code, and we only used each digit once. What is the probability that someone will guess our PIN code on the first try? - VAT example

The following data were provided by Halo Mango Delight, a VAT taxpayer, for October, November, and December 2021 (VAT excluded): Compute the Value added tax of the store for the 4th Quarter of 2021. (Show computation in solving the problem). VAT ratio = 1 - Three-digit 69114

How many three-digit numbers have a digit sum of 6? Write the ratio of the number of created even and odd numbers and adjust it to the basic form. - Divisible 68644

List all divisible numbers by six and seven that are greater than 79 and less than 91. - Find two digits

Find the possible values of A and B if the six-digit number 2A16B6 is divisible by 4 and 9. Please write the result as a composed number. - Percentage 65844

Mr. Josef sold home-grown potatoes at 79 cents per kilogram. When he had the last 5 kg, he told the customer: collect them all for 3 euros! By what percentage did Mr. Josef reduce the potatoes? - Numbers 65734

There are 100 tickets in a pocket with the numbers 1 to 100. What is the probability that we will randomly draw a ticket with a number starting with the number 5? - Extinguishing 63834

40% of the foam was sprayed from the foam fire extinguisher during the fire extinguishing exercise. The weight of the entire device was 7 kg, and after training, it dropped to 4.6 kg. What was the weight of the empty device? - Error rate

The exam has six questions. Students have an error rate of 20% and can have a maximum of 1 question wrong. What is the probability that they will succeed? - The vaccination

The vaccination coverage of the population is 80%. Unvaccinated make up 60% of all infected. What percentage are unvaccinated and more likely to be infected? Consider N = 10,000 inhabitants and K = 1,000 infected. b. How many times more likely are unvacci - Cost structure

You are currently trying to decide between two cost structures for your business: one with a greater proportion of short-term fixed costs and another more heavily weighted to variable costs. Estimated revenue and cost data for each alternative are as foll - Gym center

80% of all visitors to the gym center enjoy a discount. 3/4 of all visitors go to practice regularly. All visitors who go to the gym regularly benefit from a discount. What percentage of all visitors do not go to the gym regularly but still use the discou - Evaluation 34581

There are a total of 26 students in the class. During the evaluation of the control work, the teacher said: "4 pupils got the number one, and that is 16%. "Did all the students write the control work? - Fresh juice

The seller offers fresh-squeezed juice, which the customer either pours into his own containers or sells in liter plastic bottles, which the customer buys from him. A liter of juice costs 40 CZK more than a bottle. There is no charge for turning the juice - Beer tapping

When checking compliance with the beer tapping, it was found that 60% of the offered beers were underfilled. The others were fine. Thus, instead of 0.5 l, the volume was 4.4 deciliters on average. What was the volume of one average underfilled beer? - Manufacturer 24801

With a repeat check, five hundred of the series of products are to be inspected. The manufacturer guarantees 2% scrap for a given production. Determine the probability of scraps among the 500 products reviewed between 12 and 20. - Birthday paradox

How large is the group of people so that the probability that two people have a birthday on the same day of the year is greater than 90%? - Defective 23221

The factory sets a standard that 2% of products may be defective. Last week, out of 1,250 products, 32 were defective. How many defective products were the standard exceeded? - The manufacturer

The manufacturer found that 3% of the plates produced had a malfunction. Of the complaint, 75% are first and 25% second. What is the probability of producing first and second-class plates?

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