A train time table must be compiled for various days of the week, so that two trains twice a day depart for three days, one train daily for two days, and three trains once a day for two days. How many diferent time table can be compiled?

State in each case if the motion is one two or three dimensional. A paper flying on a wind day

State in each case if the motion is one two or three dimensional. A train accelerating on a long straight track

Why do the raindrops appear, to a passenger on a running train in a rainy day, to be falling obliquely ?

The following table shows the ages of the patients admitted in a hospital on a particular day : Find the mode and the mean of the data given below. Compare and interpret the two measures of central tendency.

Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on (i) the same day? (ii) consecutive days? (ii) different days?

Two customers are visiting a particular shop in the same week (Monday to Saturday). Each is equally likely to visit the shop on any one day as on another. What is the probability that both will visit the shop on the same day?

A sets out from a certain place and tavels 1 mile the first day, miles the second day, 3 miles the third day and so on. B sets out 5 days after A and travels the same road @ 12 miles a fay. How far will A travel before he is overtaken by B? If they continue to travel, in what time will be overtaken by A ?

(Manufacturing problem): A manufacturer has three machines. I, II and III installed in his factory. Machines I and II are capable of being operated for at most 12 hours whereas machine III must be operated for atleast 5 hours a day. She produces only two items M and N each requiring the sue of all the three machines. The number of hours required for producing 1 unit of each of M and N on the three machies are given in the follownig table: She makes a profit of Rs. 600 and Rs. 400 on items M and N respectively. How many of each item should be produce so as to maximise her profit assuming that she can sell all the items that she produced? What will be the maximum profit?