MBA Exam

LetZ={1,11,111,1111,...,11111upto55times} and T be a subset of Z such that the sum of no two elements of T is divisible by 3. The maximum possible number of elements in T is Kindly post the explanation too

1) 18
2) 19
3) 20
4) 37

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MBA Other Question

the cost of printing a book has the following components-paper 10%,printing ink 5%,labor 20%,power 25%,payment to author 40%the book is sold at a profit of 25%.the paper cost goes up by 20% and labor charges goes up by 50%,while there is no changes in the cost of power,or the author's payment.Q1-if the s.p remains unchanged,what is the profit percentage?a .13%b. 11 11/28%c. 11 17/28%d. 12 7/12%Q2-if the manufacture increases the s.p by 4% and wants a profit of 18 2/11% by what percent should he reduce his expenditure on labor(at the increased cost)?a. 6 2/3%b. 6 1/3%c. 3 1/3%d. 3 2/3%

Vijay and Gaurav participated in a bullock cart race. For the first hour, their speed was the same. After that, Vijay increased his speed by 5% every hour. Gaurav increased his speed by 1% in the first hour, by 3% in the next hour, by 5% in the next hour, by 7% in the next hour and so on. At what time will Gaurav overtake Vijay?

1) After 2 hours & 40 minutes
2) After 3 hours 20 minutes
3) After 4 hours & 10 minutes
4) None of these