In a clock (Conventional clock with numbers 1 to 12 in order)is cut into 3 pieces such that the sum of each piece in AP with a common difference of 1. What is the count of numbers in each piece? and what are the numbers? Choose the correct choice from the following options.
A) 25	B) 26	C) 27	D) 28	E) 29
Sum of the 12 numbers=1+2+3+......+12=12*13/2= 
<gadget id="calculator">12*13/2</gadget>
<output>78</output>
78   So we have to divide it into 3 slots such that the sum is 78 and sum of each slot is in AP, thus the 3 slots are 25,26,27. So the numbers can be:     3+4+5+6+7= 
<gadget id="calculator">  3+4+5+6+7</gadget>
<output>25</output>
25   8+9+10= 
<gadget id="calculator">8+9+10</gadget>
<output>27</output>
27   11+12+1+2= 
<gadget id="calculator">11+12+1+2</gadget>
<output>26</output>
26   ANSWER:26
<result>B</result>
In a clock (Conventional clock with numbers 1 to 12 in order)is cut into 3 pieces such that the sum of each piece in AP with a common difference of 1. What is the count of numbers in each piece? and what are the numbers?