Question
A vessel contains a mixture of
milk and water in the ratio 7:2 respectively. 90 liters of the mixture is taken out of the vessel and is replaced with 10 liters of water, so that the ratio of milk to water in the vessel becomes 4:1. Find the initial quantity of water in the vessel.Solution
ATQ,
Let the initial quantities of milk and water in the vessel be ‘7x’ liters and ‘2x’ liters respectively. When 90 liters of mixture is taken out, Quantity of milk taken out = (7x/9x)×90 = 70 liters Quantity of water taken out = 90 – 70 = 20 liters According to the question, the new ratio is 4:1: 
So, the initial quantity of water in the vessel = 30×2 = 60 liters.
The least number which when divided by 7, 12, 15 and 20 leave zero remainder in each case and when divided by 26 leaves a remainder of 4 is:
- The sum of HCF and LCM of two numbers is 425. If the LCM is 16 times the HCF, and one number is 25, find the second.
Let N be the greatest number that will divide 86, 120, 154 leaving the same remainder in each case. Then sum of the digits in N is:
Find the least number which when divided separately by 15, 20, 35 and 45 leaves 3 as remainder in each case?
If total number of factors of 2,520 is 'y', then find the value of (y - 4)(y + 6).
In a school, 68 boys and 119 girls have been divided into the largest possible equal classes, so that each class of boy numbers the same as each class o...
The LCM of two numbers is 960 while their product is 7680. Find the greatest common divisor of the two numbers.
The greatest number, which when subtracted from 7452, gives a number exactly divisible by each of 20, 27, 30 and 32, is:
Two positive integers multiply to 5070, with their highest common factor being 13 and their sum amounting to 143. What is the difference between these t...
The H.C.F of two numbers is 2 and their L.C.M is 117. If one of the numbers is 13, find the other?
Relevant for Exams:
