Question
Karan can do 60% of a job in 36 days while Meena does 20%
in 18 days. Karan works for 20 days and stops. Calculate how many days Meena will take to complete the rest of the work.Solution
ATQ,
Time taken by Karan to complete whole work = (36 / 0.60) = 60 days
Time taken by Meena to complete whole work = (18 / 0.20) = 90 days
Let the total work be 180 units (LCM of 60 and 90)
Efficiency of Karan = (180 / 60) = 3 units/day
Efficiency of Meena = (180 / 90) = 2 units/day
Work completed by Karan in 20 days = 20 × 3 = 60 units
Remaining work = 180 - 60 = 120 units
Therefore, required time = (120 / 2) = 60 days
The LCM of two numbers is 1991 and their HCF is 23. If one of the numbers is 181, the other number is
The H.C.F. of two numbers is 14 and the other two factors of their L.C.M. are 5 and 11. The larger of the two numbers is:
Find the HCF (GCD) of 48 and 72.
If total number of factors of 2,430 is 'x', then find the value of (x - 6)(x + 1).
A man deposits Rs. 25,000 at a simple interest rate of 8% per year. What amount will he receive after 5 years?
Rohit spends an average of Rs. 500 on Sundays and Rs. 350 on the remaining days. Find his average spending in a 30-day month starting with Sunday.
What is the difference between the LCM and HCF of 38, 52?
The HCF and LCM of two natural numbers are 15 and 75, respectively. What is the difference between the two numbers, if one of the numbers is 25?
Find the LCM of 36, 45, 60, 80.
The smallest number which when divided by 22 and 34 leaves remainder 10 and 22 respectively is: