Latest CTS Aptitude Question SOLUTION: 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

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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?

Asked In CTS Punitha (8 years ago)

Solved Ahsan Fatma Read Solution (8)

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Ahsan Fatma  (8 years ago) Best Solution

Sum of the 12 numbers=1+2+3+......+12=12*13/2=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=25
8+9+10=27
11+12+1+2=26

Is this solution Helpfull? Yes (13) | No   

Punitha  (8 years ago)

In a clock there are total of 78 hrs..by dividing it by 3 we get 26..i.e., 26,26,26
with Arithmetic Progression(AP) difference of 1 means have to divide that as 25,26,27

Three parts are
1st part : 10,9,8
2nd part : 11,12,1,2
3rd part : 3,4,5,6,7

so that we can get the sum values of pieces at AP with the common difference of 1.
Hence total hours in the bigger part is 25 hrs

Is this solution Helpfull? Yes (5) | No   

niranjan  (8 years ago)

Sum of the 12 numbers=1+2+3+......+12=12*13/2=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=25
8+9+10=27
11+12+1+2=26

Is this solution Helpfull? Yes (1) | No (1)  

Ramjan Ali  (8 years ago)

first..remind that there is no saying that cut should be equal...so divide the clock into 3 pieces ...following this way..(3+4+5+6+7),(11+12+1+2),(8+9+10)...u will find that these sum are in A.P...& the common diff. is 1

Is this solution Helpfull? Yes (1) | No (1)  

venkatesh sandiri  (8 years ago)

1 2 3 4 5 6 7 8 9 10 11 12
sum of frst n natural num of the series of each piece is
10 , 32, 78

Is this solution Helpfull? Yes | No (5)  

Bablu patel  (8 years ago)

first piece 12,7,6,
second -11,8,5,2
third-10,9,4,3,1

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RAGUL  (7 years ago)

cp of 1m= 40000/400 = 100rs
sp of 1m = 200/(3/2) = 400/3 rs
%gain = sp-cp / cp= ((400/3)- 100)/100 X 100 = 100/3 X 100 = 33.33%

Is this solution Helpfull? Yes | No (2)  

Yallaling  (7 years ago)

12+13=25 but it is also correct na

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