Question
The digits of a two-digit number βNβ are reversed to
form a new number βMβ. If M < N and N β M = 45, then which of the following maybe βNβ?Solution
ATQ; Let the original number = N = β10a + bβ So, the new number = M = β10b + aβ ATQ; N = M + 45 So, 10a + b = 10b β a + 45 Or, 9a β 9b = 45 Or, a β b = 5 So, possible pairs of βaβ and βbβ = (9, 4), (8, 3), (7, 2), (6, 1) So, possible values of βNβ = 94, 83, 72, 61 Alternate Solution From option βaβ: N = 49 So, M = 94 Since, M > N {not possible} N = 61 So, M = 16 Also, N β M = 61 β 16 = 45
- Amit and Ankit can complete a job in 60 days. Working together with Sumit, they can finish it in 40 days. How many days would Sumit alone take to complete ...
A civil contractor planned to build an over bridge of 3 km distance in 600 days. For this purpose, he employed 90 workers. After 200 days of work, it wa...
Three workers A, B and C can complete a job in 12, 15 and 20 days respectively, working alone. All three start working together. After some time, C leav...
Gagan can do a piece of work in 14 days. Magan is 40% more efficient than Gagan. How many days will Magan and Gagan together complete the work?
Vikram alone can finish some work in 20 days. Vikram and Varun completed the work together and earned Rs. 8,000 as wage. If Varun's wage share is Rs. 3,...
Four boys and nine girls can complete a task in 24 days. Three boys and five girls can finish the same task in 36 days. How many ...
- Alok finishes 60% of a project in 30 days, while Neha finishes 20% of the same in 15 days. Alok worked for 25 days and then stopped. Find the time taken by...
- A task can be done by βpβ men in 32 days. If the team had 8 more men, the work would finish in 24 days. Find the value of βpβ.
P alone can finish a piece of work βMβ in 12 days while Q takes 8 days to finish it alone. P, Q and R working together can finish the work βNβ w...
Ashish and Anil can do a piece of work in 20 days and 25 days respectively. Ashish completed 60% of the work. Find the time taken by Anil to complete th...
