Question
When 135 is added to 3A7, the result is 4B2. 4B2 is
divisible by 3. What is the largest possible value of A?Solution
3A7 + 135 = 4B2 Clearly A+1+3 =B or A+4=B So possible values for A & B are: - A = 0, 1, 2, 3, 4, 5 & B = 4, 5, 6, 7, 8, 9 & 4B2 is exactly divisible by 3. Now, 4 + B + 2 = 6+B = multiple of 3 Therefore, B = 6 or 9 is only possible values and accordingly,  A = 2 or 5 is possible value for A, Hence largest possible value of A is 5.
‘R’ and ‘S’ can complete an assignment in 72 days and 90 days respectively while ‘R’, ‘S’ and ‘T’ together can complete the same ass...
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...
126 unit of work can be completed by P alone in 21 days. P started working alone and joined by Q after 10 days such that they completed the remaining wo...
X, Y and Z can do a piece of work in 90 days, 40 days and 120 days respectively. If they all work together alternatively starting with X, Y than Z respe...
Bharti, Chiku, and Diksha complete 30%, 40%, and 20% of a task in 6 days, 12 days, and 8 days, respectively. How many days will it take for them to coll...
"A" can complete a task in 15 days, while it takes 25 days for "B" to complete the same task. The ratio of the efficiencies of "A" and "C" is 2:1. If a ...
Akhil and Nikhil together can complete a work in 5 days while Nikhil alone takes 10 days to complete 40% of the work. If the efficiency of Sachin is 25%...
‘A’ and ‘B’ can complete a certain work in 15 days and 10 days, respectively. They started working together and worked till completion of the wo...
- Neha and Seema can finish a work in 10 days and 25 days, respectively, when working alone. Neha started the work. After how many days should Seema join to ...
P alone can finish a piece of work ‘M’ in 5 days while Q takes 3 days to finish it alone. P, Q and R working together can finish the work ‘N’ wh...
Relevant for Exams:
