Basic operations and concepts - math word problems - page 23 of 319
Number of problems found: 6371
- Two trains 11
Two trains running in opposite direction cross a man standing on the platform in 27 seconds and 17 seconds and they cross each other in 23 seconds. Find the ratio of their speeds.
- Impurity - glycerine
A sample of 50 L of glycerine is found to be adulterated to the extent of 20%. Find how much pure glycerine should be added to reduce impurity percentagerity to 5%.
- IQ scores
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What percentage of the population scores higher than 125 on an IQ test?
- Drying fruit
Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits?
- Constant speed
At a constant speed, a train travels 45 miles in 60 minutes. At this rate, how far does the train travel in 12 minutes?
- Discrete and continuous
2,3,4,4,5,5,5,6,6,7 Assume the scores are measurements of a Discrete variable and find the median. Assume the scores are measurements of a continuous variable and find the median by locating the precise midpoint of the distribution.
- Two trains 16
Two trains cross each other in 14 seconds when they are moving in opposite direction and when they are moving in the same direction they cross each other in 3 minutes 2 seconds . The speed of the faster train is by what percent more than the slower train?
- Common work
39 men can repair a road in 12 days working 5 hours a day. How many days will be required to complete the work by 30 men working 6 hours a day?
- Map scale
On a map, on a scale of 1:50000, what is the distance in kilometers that 6 cm on the map represents?
- Compound interest
Joel borrowed $3208.5 on November 2, 2021, at 3.6% p.a. How many days would it take for him to repay the loan if he made a payment of $ 3,720.34? Round up to the nearest day.
- The average 15
The average age of a group of four men whose ages are in the ratio of 2:3:4:5 is 42 years, what is the age of the eldest person of this group?
- 52 cards
A hand of five cards is dealt from a pack of 52 playing cards. How many different hands can be dealt that contain three aces?
- Doubling - simple interest
A sum becomes its double in 10 years. Find the annual rate of simple interest
- A chemist 2
A chemist has two alloys of bronze, one that is 12% tin and 88% copper and a second that is 10% tin and 90% copper. If these two alloys are melted and thoroughly mixed together, between what two values are the percent of tin in the mixture?
- Compound vs simple interest
Calculate the difference between compound interest and simple interest in USD 7500 in two years at 8% per annum.
- Three people
Three people - Peter, Quinton and Roland. 5 years ago, the average age of P and Q was 15 years. Present average age of P, Q and R is 20 years. Find the age of R after 10 years.
- Twins 2
The average age of a man and his two twin sons is 30 years. The ratio of the ages of father and one son is 5 : 2, what is the father's age?
- Daily compounded
Zachary invested $130 in an account paying an interest rate of 3.6% compounded daily, Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 11 years?
- The temperature 45
The temperature in a field is 68°F at 4 PM. The temperature decreases by 4°F per hour. When will the temperature be 60°F?
- A solution 2
To a solution of 30 litres containing 90% alcohol, how much water must be added to so that the alcohol becomes 80%?
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