Reasoning - math word problems - page 24 of 31
Number of problems found: 613
- Nicolas
Nicolas and his father can repair one desk in 1/3 hour. How many desks can they repair in 3 hours? - A sum
A sum of money is shared between Peter, John, and Henry in the ratio 2:3:5. a) express Henry's share as a fraction of John's share. b) what fraction of the whole sum of money is John's share? - Apple collecting
Luke, Peter, and Tibor compared how many kilograms of apples they had each collected. The arithmetic mean of Luke's and Peter's amounts was 10 kg more than Tibor's amount, and the arithmetic mean of Luke's and Tibor's amounts was 3 kg less than Peter's am - Lcm = 22 + gcd
The least common multiple of two numbers is 22 more than their greatest common divisor. Find these numbers. - 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? - Nine-digit numbers
Determine the number of nine-digit numbers in which each of the digits 0 through 9 occurs at most once and in which the sums of the digits 1 through 3, 3 through 5, 5 through 7, and 7 to the 9th place are always equal to 10. Find the smallest and largest - Most divisors
Find the number with the most divisors from the natural numbers 1 to 100. - Gas prices 2021
According to the SPP price list in 2021, the price of natural gas, together with its supply, is as follows: D1 - we cook. Fix 3.34 euros/month and 0.0479 euros/kWh (1 cubic meter of gas is approximately 10.555 kWh. combustion heat changes over time as the - 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 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 other two. His younger brothe - 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
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