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For The Mathematically Inclined

Anil Saigal
02/27/2011

PROBLEM # 1
C, A and T are numbers  between 0 and 9. 
CAT = (C + A + T) × C × A × T
Find C, A and T that satisfy the above equation

PROBLEM #2
ABCDEF × 3 = BCDEFA and A,B,C, D,E and F are numbers between 1 and 9.  What are possible values of ABCDEF?


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Please send your solutions to mr.asaigal@gmail.com.

Use Problem Solutions M-030311 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani.

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

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

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Problems from 02/17/11

PROBLEM # 1
When asked about his birthday, a man said: "The day before yesterday I was only 25 and next year I will turn 28." This is true only one day in a year - when was he born?

SOLUTION 1
Dec. 31.
 


PROBLEM #2

What 5-digit number has the following features:  If we put the numeral 1 at the beginning, we get a number three times smaller than if we put the numeral 1 at the end of the number.

SOLUTION 2
42857.

Congratulations to Kishore Balsara, Nidhi Bhargava, Aseem Chandawarkar, Akshay Gowrishankar, Chaya Hindupur, Arun Lahori, Samir Mehta, Roshi Mutt, Inian Parathasarathy and Vishal Patel, who were winners of the last set of puzzles.



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