Question
What is the greatest four digit number which when
divided by 6, 9, 12, 15 and 18 leaves remainder 1 in each case?Solution
L.C.M. of 6, 9, 12, 15 and 18 = 180 To find the largest 4 digit number which, when divided by 6, 9, 12, 15 and 18, leaves remainder 1, we have to divide the 9999 by 180 and add 1 after subtracting the remainder from 9999. When we divide the 9999 by 180, the remainder is 99. Required number = 9999 – 99 + 1 = 9901
‘A’ and ‘B’ together can complete a work in 12 days, while ‘B’ and ‘C’ together can complete the work in...
‘M’ and ‘N’ together can finish a piece of work in 22 days. If ‘M’ alone can complete it in 55 days, how many days will ‘N’ alone take?<...
40 men can complete a piece of work in 48 days. ‘x’ men started the work and after 33 days 64 more men joined them so that whole work was finished i...
Person A can complete a certain task in 20 days, while person B can finish the same task in x days. Together, they can complete the task in 12 days. Det...
The efficiency of A, B, C, D are in the ratio of 6 : 5 : 4 : 3. If A and C can do a work together in 6 days. Then How much days B and D will take to com...
A, B and C together can do a work in p/13 days, A and B together can do the work in p/10 days and B alone can do the work in p/4 days. If C takes 20 day...
Pawan, Bittu, and Raju can individually complete a task in 36 days, 60 days, and 30 days, respectively. They all begin working together, but Raju stops ...
The time taken by P to complete a task is half of the time taken by Q. Q and R working together finish the task in 20 days, while...
A and B together can complete a piece of work in 30 days while A alone can complete 50% of the work in 25 days. Find the time taken by B to compl...
P and Q individually can complete the work in 36 days and 54 days respectively. If the time taken by R alone to complete the work is 1.25 times the time...
