CAT Exam Category

How many integers between 1 and 100000 have sum of their digits as 18

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CAT Other Question

solve for the value of x when x raised to the x until infinity to the x equal to 10 Two person A and B are at two ends P and Q respectively. Both started running towards each other and returns back when reached to other end and continue this.
1) If ratio of speed of A to B is 3:2 and distance between P and Q is 500 meter then what is total distance traveled by A when they meet 3rd time?

2) If speed of A and B is 30 meter/min and 70 meter/min and distance between P and Q is 100 meter then
a) Distance from P to meeting point when they meet 2nd and 3rd time respectively?
b) time taken to meet 3rd time?