PROBLEM # 1

Determine the ones digit for the expression:
0! + 1! + 2! + 3! + 4! + . . . + 9999! + 10000!

PROBLEM # 2

What three consecutive counting numbers have a sum which is 0.2 of their product?

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Please send your solutions to both problems to anil@lokvani.com.

Use "Problem Solutions M-092503" as the subject line. Please include your full name in the text of the main message. The first one to submit the right answer will be profiled in the next issue of Lokvani.

Please do not post your solution in "Post Comments". No credit will be give for solutions not sent to anil@lokvani.com.

If you need clarification on any problem, please contact anil@lokvani.com.

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SOLUTIONS TO PROBLEMS ON 9/11/03

PROBLEM # 1

In a town of 10,000 families it was found that 40% families buy newspaper A, 20% families buy newspaper B and 10% families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all 3 newspapers, find the number of families which buy (i) A only (ii) B only (iii) none of A, B and C.

SOLUTION

(i) 3300 (ii) 1400 (iii) 4000

PROBLEM # 2

The mean weight of 15 students is 112 lbs. The mean weight of 5 of them is 100 lbs and of another 3 is 125 lbs. What is the mean weight of the remaining students?

SOLUTION

115 lbs

Winners

Congratulations to S. Mallick, D. Padmanabhan, L. Padmanabhan, K. Potnis, G. Varghese and B. Venkataraman, who were all winners of the last puzzle. In this issue we bring you yet another challenge.

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