Reason - high school - practice problems
Number of problems found: 621
- 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? - A variable
A variable rectangle has a constant area of 35 cm². Find the lengths of the sides when the perimeter is minimum. - Monthly income
There are three working people - X, Y, Z. The average monthly income of X and Y is 5050 USD.The average monthly income of Y and Z is 6250 USD, and the average monthly income of X and Z is 5200 USD. What is monthly income of X? - 4th digit
Write a digit in place of X so that 85X634 is divisible by 11.
- A train 4
A train passes two bridges of 400 m and 260 m in 25 sec and 18 sec, respectively. Find the length and speed of the train. - A mobile
A mobile phone and a tablet were sold at a profit of 10% and a loss of 8% respectively . If the cost price of the mobile is 1.5 times that of the tablet what is the overall percentage earned by selling both the articles? - What will
What will be the average of the numbers from 1 to 51? - Series - double GP
In the following series, which number will replace the question mark? 4, 32, 16, 128, 64,? - 20 men
20 men are supposed to complete a work in 10 days. After working for 5 days, they realize that only one-fourth of the work is done. How many more men they need to employ to complete the work on time?
- Five couples
In how many ways can 5 couples arrange themselves in a row if they stay together? - Arithmetic progressions. Find the sum of all the numbers between 9 and 204, which is exactly divisible by 3.
- A ferry
A ferry with a capacity of 10 people takes a group of 13 men and 7 women across a river. Find the number of ways in which the group may be taken across the if all women go on the first 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? - Family survey A total of 160 families with 4 children each were surveyed with the following results. Boys; 4; 3; 2; 1; 0 Girls ; 0; 1; 2; 3; 4 Families; 7; 50; 55; 32; 16 Let the probability of picking a boy or a girl be 1/2. Let P=boy, Q=girl. What is the probability
- Grouping - combinatorics
In how many different ways can 24 people be divided into: a) 6 groups of the same size. b) Groups of 5, 6, 7, and 6 people. c) Groups of 4, 5, 7, and 8 people. - Probability - coin
When tossing a coin 4 times in a row, what is the probability that a sign will come up 3 times? - Numbers 83481 Find out how many natural six-digit numbers exist whose digit sum is four.
- Married 83309
In how many ways can we seat five guests at a table, two of whom are married and want to sit next to each other? - Probability 83308
There are 10 parts in the box, and 3 of them are defective. Let's choose 4 components at random. What is the probability that it will be among them a) 0 defective, b) just one defective component, c) just two defective components, d) exactly 4 defective c
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