Question
Karan, Arjun and Krunal alone can complete a work in 30,
45 and 36 days respectively. All of them started working together but after 3 days from start Karan left the job and after 5 more days Arjun also left the job. So for how many days did Krunal work?Solution
Let the total work = 180 units (LCM of 30, 45 and 36) Amount of work done by Karan alone in one day = 180/30 = 6 units Amount of work done by Arjun alone in one day = 180/45 = 4 units Amount of work done by Krunal alone in one day = 180/36 = 5 units Amount of work done by Karan, Arjun and Krunal together in 3 days = 3 × (6 + 4 + 5) = 45 units Amount of work done by Arjun and Krunal together in 5 days = 5 × (4 + 5) = 45 units Remaining work = 180 – 45 – 45 = 90 units So, the time taken by Krunal alone to complete 90 units work = 90/5 = 18 days So, Krunal worked for 18 + 5 + 3 = 26 days
The numerator of a fraction is 7 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 5, then the denominat...
In a group of three numbers first is double of second and half of third. The average of three numbers is 56. Find the difference between the first numb...
The ratio between the sum of the digits of a two-digit number and that two-digit number is 1 : 6. If the digit in the unit's place is three less than th...
What is the remainder when the expression 289n+147 is divided by 17?
How many integer pairs (x, y) satisfy the inequality x2 + 4y2 < 100?
- Find the least perfect square number divisible by 8, 18, 27, and 40. Then, calculate the remainder when it is divided by 121.
How many digits are required to write first 500 natural numbers?
A car rental company offers two types of packages: Package X and Package Y. Package X charges a base fee of ₹300 per day plus ₹10 per kilometer. Pac...
A lending library has a fixed charge for the first 7 days and an additional charge for each day thereafter. Sahil paid Rs . 215 for a book kept for 15 ...