Reason - math word problems - page 24 of 109
Number of problems found: 2168
- Division residue proof
If n is a natural number that gives a division of 2 or 3 when divided by 5, then n gives a residue of 4 when divided by 5. Prove directly - Truth table tautology
Use the truth table to evaluate the truth of the compound statement (a) [P ∧ (Q ∨ R)] ⇔ [(P ∧ Q) ∨ (P ∧ R)] (b) ¬(P ⇒ ¬Q) ⇒ (¬P ∧ Q) and decide each time whether it is a tautology or A contradiction. - Letter equality puzzle
Add the same numbers after the same letters and different numbers after the other letters so that equality applies: KRAVA + KRAVA = MLIEKO, where K is an odd digit. - Four-digit number puzzle
Find all four-digit abcd numbers to which abcd = 20. ab + 16. cd, where ab and cd are double digits numbers from digits a, b, c, and d. - Linear equation system
Write a system of 3 linear equations with 3 variables (x. Y. z), which has all non-zero coefficients and a solution x= 2+t, y=3-2t, z=t, where t€R. The fact that the system has all non-zero coefficients means that all numbers in the extended matrix of the - Triangle construction procedure
Construct a KLM triangle where side k is 6.7 cm, the line to the k side is 4.1 cm, and the LKM angle is 63 degrees. Write the construction procedure. - Seed germination verification
The supplier of spruce seeds for our nursery declares a germination rate of 80% for his goods. Verify this statement based on an experiment in which only 70 seeds germinated out of 100 randomly selected seeds. - AP - consecutive members
In the arithmetic sequence, a1 = 4.8, d = 0.4. How many consecutive members, starting with the first, need to be added so that the sum is greater than 170? - Car drive distribution
Five men drive to work together; 2 have a Škoda car, and the others have an Opel, Seat, and Hyundai. They always randomly choose which car to drive. Each of the five cars has an equal chance. The random variable X determines how many days the same charact - Skateboard
Petr wanted to buy a skateboard. But he had no money, so he asked his father and two brothers for help. His father gave him half of the amount his brothers gave him. His older brother gave him a third of what he received from the others. His younger broth - Gasoline fuel
You just drove your car 300 miles and used 40 gallons of gas. Your car's tank holds 12 1/2 gallons of gas, and if the gas you buy is $2.50 per gallon, what would you pay to fill one-half of your tank? - Phone number
Ivan's phone number ends with a four-digit number: When we subtract the first from the fourth digit of this four-digit number, we get the same number as when we subtract the second from the third digit. If we write the four-digit number from the back and - Four-digit number
For a four-digit number abcd, ab: bc = 1:3 and bc: cd = 2:1 (ab, bc, and cd are two-digit numbers from digits a, b, c, d). Find this number(s). - Two numbers
One number is 79 more than the other. If we divide the larger number by the smaller one, we get the quotient five and the remainder 11. Determine both numbers. - Target extra remainder
The arranger has at his disposal a certain number of colored targets, from which he wants to create a rectangular pattern of a flower bed. If he puts 4,5,6,8,9, or 10 targets in one row, he always has three extra targets. How many targets does it have? De - Strawberries
Three people pick strawberries from 48 rows in 8 hours. How many hours do five people need to pick strawberries from 20 rows? - Manuscript rewriting pages
The typist was given the task of rewriting the manuscript of the adventure book in 8 days. However, she completed the task in 6 days because she rewrote 6 more pages per day than she was supposed to rewrite. Determine the number of pages of an adventure b - 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 - When 5
When five is subtracted from both my numerator and denominator, I become 3/4. What fraction am I? - Athletics team
All athletes from the Ostrava athletics team can start in four, five, six, and seven stages, and no one will be present. How many average athletes are in one athletic group if there are twelve groups in the section? Consider the smallest number of athlete
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