Question
The sum and difference of the Least Common Multiple
(L.C.M.) and Highest Common Factor (H.C.F.) of two numbers are 216 and 184, respectively. If one of the numbers is 25, find the other number.Solution
Let the L.C.M and the H.C.F of the two numbers be 'a' and 'b' respectively Then, (a + b) = 216 And (a - b) = 184 So, (a + b) + (a - b) = 216 +184 Or, a = 400 ÷ 2 = 200 So, b = 216 - 200 = 16 The product of two numbers is equal to the product of their L.C.M and H.C.F So, required number = (200 X 16) ÷ 25 = 128
6 mangoes are bought for Rs 24 and 3 mangoes are sold for Rs 18. Find the percentage profit or loss.Â
A car travels from City A to City B, which is 240 km apart. It travels the first 120 km at a speed of 60 km/h and the remaining distance at a speed of 8...
4, 5, 18, 95, 672, ?.
A cyclist travels from point A to point B at a speed of 12 km/h and returns at a speed of 15 km/h. Calculate the average speed for the entire trip if th...
If the homogeneous system of equations
x + y + z = 0
2x + 3y + 4z = 0
has a non-trivial solution, then the value of k is:
3x + 5y + kz = 0
A container has 360 litres of a mixture containing milk and water in the ratio of 3:2. 50 litres of milk and ‘p’ litres of water are added into the ...
In a school, Class 10 is divided into two sections. Section A has 100/3%Â of the total students, while the rest are in Section B. If 15 students from S...
Amit can complete a task alone in 20 days. Bheema and Chetna, working together, can complete the same task in 12 days. The ratio ...
Let vectors a, b, and c be such thata · b = 0, b · c = 0, and c · a = 0.
If |a| = 2, |b| = 3, |c| = 6, then the volume of the parallelepiped f...A bag contains red, blue, and green balls in the ratio of 2:4:5. If two balls are randomly selected from the bag, the probability that both are blue is ...
