Examples for secondary school students - page 3 of 229
Number of problems found: 4578
- Dual profit
A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest 18%. He gains 14% on the whole. Find the quantity of 8% profit. - Dilution
How many liters of water will have to be added to 1125 liters of the 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content? - Three inscribed objects
A circle is inscribed in a square. An equilateral triangle of side 4√3 is inscribed in that circle. Find the length of the diagonal of the square. - Lightbulbs
The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 48 and a standard deviation of 10. Using the emp - 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? - Failed in examination
In an examination, 20% of total students failed in history,15% failed in English and 5% of total number of students failed in both subjects. Find the percentage of total number of students who passed in both the subjects. - Usual speed 2 A passenger train takes 1 h less for a journey of 120 km.If its speed increased by 10 k/h from its usual speed. What is its usual speed?
- Angle of elevation
From a point A on the ground, the angle of elevation of the top of a 20 m tall of a building is 45°. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from A is 60°. Find the length of the flagstaff and th - A furniture
A furniture dealer bought a dining set at 12000 USD. At what price would the dealer sell this set by offering a discount of 5% and still make a profit of 10%? - A variable
A variable rectangle has a constant area of 35 cm². Find the lengths of the sides when the perimeter is minimum. - By selling
By selling an article for $ 21, a trader loses as much percent as the cost price of the article. Find the cost price. - Scholarship 3
The ratio of number of boys to that of the girls in a school is 3:2. If 20% of boys and 25% of the girls are scholarship holders, find the percentage of those who are not scholarship holders? - Two circles 3
Two circles are inscribed in a square whose side is 4 cm. Find the radius of the smaller circle. - The radius 3
The radius of a solid circular cylinder decreases by 20% and its height increases by 10% . Find the percentage change its : (a) volume (b) curved surface area. - 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?
- The median 3
The median of the following observations arranged in ascending order is 64: 27, 31, 46, 52, x, x + 4, 71, 79, 85, 90 Find the value of x. - The rates
The rates of working of A and B are in the ratio 3 : 4. What is the ratio of the number of days taken by them to finish the work? - Four legs of journey
A car driver covers a distance between two cities at a speed of 60 kmph and on the return, his speed is 40 kmph. He goes again from the first to the second city at twice the original speed and returns at half the original return speed. Find his average sp - Work in factory 45 men can complete a work in 16 days, but after some days they started working 30 more men joined them and completed the remaining work in 6 days. How many days after the commencement of the job did 30 men join?
- Reciprocals - sum
The sum of the two numbers is 15. If the sum of their reciprocals is 5/18, find the numbers.
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