Question
If '57x8y' is a five-digit number which is divisible by 72,
then find the value of (5x - y).Solution
ATQ,
Since, 72 = 9 × 8
So, the given number must be divisible by both 9 and 8.
Divisibility by 8:
Last three digits of the number (x8y) must be divisible by 8.
For x = 1 and y = 6, the number "186" is divisible by 8.
Divisibility by 9:
Sum of the digits (5 + 7 + 1 + 8 + 6 = 27) must be divisible by 9, which it is.
Hence, x = 1, y = 6
And, 5x - y = 5 × 1 - 6 = 5 - 6 = -1
A painter charges ₹500 for every hour of work. If he works for 6 hours a day and completes a project in 5 days, what is the total amount charged by th...
A and B together can complete a piece of work in 12 days. A alone can complete the work in 20 days. A starts the work and is joined by B after 5 days. H...
A and B together can complete a piece of work in 12 days, while B and C can complete it in 15 days. A, B, and C together can complete the same work in 8...
An elephant can do a work as fast as two horses ‘A’ and ‘B’ can do it by working together. If horse ‘A’ alone can complete the work in 9 hou...
A can do a piece of work in 12 days, while B alone can do it in 18 days. They work together for 6 days and the rest of the work is completed by C in 4 d...
- If Pawan takes twice the time that Qureshi takes or three times the time that Raju takes to finish a task, and all three working together can complete it i...
A and B together can complete a job in 2 days. A alone takes x + 6 days to complete the job, while B alone takes x + 24 days to complete the same job. <...
- 'Ankit', 'Manish', and 'Tarun' together can complete a work in 25 days. 'Ankit' and 'Manish' together can complete the same work in 75 days. 'Tarun' alone ...
A man, a woman and a boy can do a work in 4, 8, 32 days respectively. How many boys are required with 1 man and 1 woman to complete the same work in 1/4...
- 25 employees working 9 hours a day take 20 days to complete a project. How many employees working for 8 hours a day are needed to complete twice the given ...
