Question
Find the greatest 4‑digit number which is exactly
divisible by 12, 15 and 20.Solution
LCM(12, 15, 20): 12 = 2² × 3 15 = 3 × 5 20 = 2² × 5 LCM = 2² × 3 × 5 = 4 × 3 × 5 = 60 Greatest 4‑digit number = 9,999 Divide by 60: 9,999 ÷ 60 = 166 remainder 39 Largest multiple = 60 × 166 = 9,960 Answer: 9,960.
A man, a woman and a boy can do a work in 3, 2, 6 days respectively. How many children were required with 1 man and 1 woman to complete the same work in...
Arun and Bala, alone can complete a work in 20 days and 30 days, respectively. They started the work together and left after 8 days such that the remai...
Sachin can complete a job in 15 days. Ankit alone can complete the same job in 10 days. Sachin works for 9 days and then the remaining job is completed ...
'A' and 'B' can do a piece of work together in 30 days. They worked together for 18 days, and then left the work. The remaining job was finished by 'C' ...
- Aman and Rohan can finish a job alone in 12 days and 30 days respectively. Aman began the task alone. After how many days should Rohan join him so that the...
A can do a piece of work in 40 days. A is 25% more eicient than B. In how many days the work gets completed when both of them work together?
A can complete a piece of work in 10 days and B can complete it in 15 days. They start working together, but B leaves after 3 days. In how many more day...
- M and N together complete a work in 10 days, while N alone does it in 16 days. If the efficiency of M to O is in the ratio 5:6, what is the ratio of effici...
12 man can make a wall in 5 days. How many men required to complete the same work in 6 days ?
‘A’ and ‘B’ can complete a certain work in 16 days and 32 days, respectively. They started working together and worked till completion of the wo...
Relevant for Exams:
