What is the next number of following series 52, 364, 4732, 75712, 1665664, ....

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14 Nov 2016 Sequence

What is the next number of following series
52, 364, 4732, 75712, 1665664, ....

OPtion

1) 63568562
2) 85543352
3) 812336573
4) 12483547
5) 125742362
6) 45247896
7) 56632576
8) 62881268
9) 51568423
10)None of these

Solution

Reason- next number to 52 = (5+2)*52 = 7*52=364
next number to 364 = (3+6+4)*364 = 4732
next number to 4732 = (4+7+3+2)*4732 = 75712
next number to 75712 = (7+5+7+1+2)*75712 = 1665664
next number to 1665664 = (1+6+6+5+6+6+4)*1665664 = 56632576

Option 7)

Correct Option: 7 Best Solution (13)

Aakash Beniwal   8 years AGO

Multiple each number by its Sum of digit to get next number
i.e.
52 * (5+2) = 364
364 * (3+6+4)= 4732
similarly
1665664 * ( 1+6+6+5+6+6+4 ) = 56632576 answer

Like? Yes (3) | No (1)  

G.S.Kantharao   8 years AGO

52.364.4732.75712.1665664. all are divisible by the predissor.Hence option 7 is right choice Because it is the only number which is exactly divisible.

Like? Yes (1) | No   

Uls Manikanta   8 years AGO

364=52*(5+2)
4732=364*(3+6+4)
75712=4732*(4+7+3+2)
therefore 1665664*(1+6+6+5+6+6+4)=56632576

Like? Yes (1) | No (1)  

Siva   8 years AGO

52×(5+2)=364 as like as
1665664×(1+6+6+5+6+6+4)=56632576

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Jagriti Priya   8 years AGO

a(n+1) = a(n) * sum of digits of a(n)
52 * 7 = 364
364 * 13 = 4732
4732 * 16 = 75712
75712 * 22 = 1665664
1665664 * 34 = 56632576

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Nandini JB   8 years AGO

in the given options, only option7 is divided by 1665664. so option7 is the ans

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Priyanka Kumari   8 years AGO

because it is the multiple of 1665664.

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Dipu Kumar   8 years AGO

1st, Number should be divisible by 4, option-1,3,4,5,9 out
2nd, Next number should be multiple of 1665664, option-2,6,8 out
only 7th option are divisible by 4 and 1665664 then ans is option-7

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Sandip Das   8 years AGO

364 = 52 * (5+2)
4732 = 364 * (3+6+4)
similarly
1665664 * (1+6+6+5+6+6+4) = 56632576 (option 7)

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Mathi Vanan P   8 years AGO

5+2=7
364/7=52
3+6+4=13
4732/13=364
4+7+3+2=16
75712/16=4732
7+5+7+1+2=22
1665664/22=75712
1+6+6+5+6+6+4=34
1665664*34=56632576

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meghana boda   8 years AGO

5+2=7--52*7=364;3+6+4=13--364*13=4732............7+5+7+1+2=34-----75712*34=56632576

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rajeev ranjan mishra   8 years AGO

all above are multiple of 26. 26 as a common factor among all

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Lenin   8 years AGO

52
the next number= 52 *(5+2) = 52*7=364

similarly, 1665664 * (1+6+6+5+6+6+4) =1665664 * 34 = =56632576

option 7.

Like? Yes | No (1)