In a queue,Amrita is $10^{th}$ from the front while Mukul is $25^{th}$ from behind and Mamta is just in the middle of the two. If there are $50$ persons in the queue,what position does Mamta occupy from the front (in $^{th}$)?

Reaching the place of meeting on Tuesday $15 \,minutes$ before $08:30 \,hours$,Anuj found himself half an hour earlier than the man who was $40 \,minutes$ late. What was the scheduled time of the meeting?

How many numbers from $1$ to $100$ are there,each of which is not only exactly divisible by $4$ but also has $4$ as a digit?

An application was received by an inward clerk in the afternoon of a weekday. The next day,he forwarded it to the table of the senior clerk,who was on leave that day. The senior clerk,on the next day evening,put up the application to the desk officer. The desk officer studied the application and disposed of the matter on the same day,i.e.,Friday. On which day was the application received by the inward clerk?

In a row of boys,Deepak is seventh from the left and Madhu is twelfth from the right. If they interchange their positions,Deepak becomes twenty-second from the left. How many boys are there in the row?

In the sequence $5, 1, 4, 7, 3, 9, 8, 5, 7, 2, 6, 3, 1, 5, 8, 6, 3, 8, 5, 2, 2, 4, 3, 4, 9, 6$,how many even numbers are there which are immediately preceded by an odd number and immediately followed by an even number?