What is the next number of the following sequence 67, 871, 13936, 306592, ......

anand kumar   9 years AGO

multiply number with sum of digits to get next number
67x(7+6)=871
871x(8+7+1)=13936
306592x(3+0+6+5+9+2)=7664800

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anand vijay   9 years AGO

sum of the digit of each number in the following series....
6+7, 8+7+1, 1+3+9+3+6, 3+0+6+5+9+2
13,16,22,25,?
difference between the no 1st and second is 3
2nd and 3rd is 6
3rd and 4th is 3
so it follows the pattern 3,6,3,6
hence fifth no in the series would be 7664800
7+6+6+4+8+0+0=31
option 5)

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Devendra Marghade   9 years AGO

Multiply the number with its sum to get next number
67*(6+7)=871
871*(8+7+1)=13936
13936*(1+3+9+3+6)=306592
306592*(3+0+6+5+9+2)=7664800
Option (5)

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praveendas   9 years AGO

some of the digits in a series is 13, 16 ,22, 25 ,the next sum in the series is31...
check out in the given ans by adding its digits

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~Sandeep~   9 years AGO

Next Number =
Sum of digits of previous number * Previous number

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Vivek   9 years AGO

Adding the tens and units place we get
67 -> 6+7=13
then multiplying the number with the above sum we get the next number i.e
next number = 67 * 13
= 871
Similarly 871 -> 8+7+1 =16
next number = 871 * 16 = 13936
Similarly if we the last number
306592 -> 3+0+6+5+9+2 =25
And so the next number = 306592 * 25 = 7664800
So the answer is option 5)

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neha gupta   9 years AGO

67 * (6+7) = 871
871 * (8+7+1) = 13936
13936 * (1+3+9+3+6) = 306592
306592 * (3+0+6+5+9+2) = 306592 * 25 = 7664800
so next term is 7664800 .

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UJJWAL KANT   9 years AGO

if we do sum of digits then we get
13 16 22 25 31
i.e pattern is 3 6 3 6
hence next numbers digits summation must be 31
i.e 7664800

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Ayush Singhal   9 years AGO

871/67=13
here 6+7=13
13936/871=16
here 8+7+1=16
..
..
and so on
so answer is
306592*25=7664800

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Ajay Kumar Gupta   9 years AGO

the sum of all digits are like this sequence...
13,16,22,25
so in this series the next no will be- 31
a/c to options the sum of all digits of 7664800 is 31.

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Altaf Hussain   9 years AGO

67*13=871
871*16=13936
13936*22=306592
306592*25=7664800

13, 13+3=16, 16+6=22, 22+3=25

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abhishek kumar gupta   9 years AGO

Digital sum of every number is a is a difference of 3 , 6 ,3 , 6

that is
6+7=13
8+7+1=16
1+3+9+3+6=22
3+0+6+5+9+2=25
each coming up number is a difference of 3 and 6 alternately so next number must be 25+6=3 and it is 76648000 ,that is 7+6+6+4+8+0+0+0=31.

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Padal Shivani   9 years AGO

67*(6+7)=871
871*(8+7+1)=13936
-------
-----
306592*(3+0+6+5+9+2)-=7664800

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shivani gupta   9 years AGO

Given seq is next term =(next -1)term*(digit of (next-1)term)

6+7=13*67=871
8+7+1=16*871=13936
1+3+9+3+6=22×13936=306592
3+6+5+9+2=25*306592=7664800
So ans is option 5

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GITANJALI GOSWAMI   9 years AGO

6+7=13
8+7+1=16
1+3+9+3+6=22
3+0+6+5+9+2=25
7+6+6+4+8+0+0=31
option5 is correct.

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Arju   9 years AGO

ans-5-7664800
Explanation=871/67=13
13936/871=16
306592/13936=22
therefore 303692*25=7664800

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sudiptaa   9 years AGO

871/67= 13
13936/871=16
306592/13936=22
13,16,22,25
so d = 3 ,6,3,6,
306952*25=7664800

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Pinku Burnwal   9 years AGO

sequence is 67,871,13936,306592
1st number is 67,
2nd number=67*(6+7)=871
3rd number=871*(8+7+1)=13936
4th number=13936*(1+3+9+3+6)=306592
5th number=306592*(3+0+6+5+9+2)=7664800

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Parth Thakkar   9 years AGO

67*13=871
871*16=13936
13936*22=306592
306592*25=7664800

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ROHIT KUMAR   9 years AGO

Series is progress as
67*(6+7)=871
871*(8+7+1)=13939
13936*(1+3+9+3+6)=306592
306592*(3+0+6+5+9+2)=7664800

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S R Y Farhan   9 years AGO

6+7 =13
67*13 = 871
8+7+1 = 16
871*16 = 13936
and so on :)

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Dinesh thatti   9 years AGO

67*13 = 871
871*16 = 13936
13936 * 22 = 306592
306592 * 25 = 7664800

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Dhanraj Wanjare   9 years AGO

67, 871, 13936, 306592, .............
6+7=13;
67*13=871;

8+7+1=16;
871*16=13936;

1+3+9+3+6=22;
13936*22=306592;

3+0+6+5+9+2=25;
306592*25=7664800;

so option 5 is satisfied.

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GAUTAM CHAURASIA   9 years AGO

Now
67,871,13936,306592,....
First Number is 67 i.e Now 871/67 = 13 = 6+7,
Second Number is 871 i.e 13936/871 = 16 = 8+7+1,
Third Number is 13936 i.e 306592/13936 = 22 = 1+3+9+3+6,
Fourth Number 306592 i.e 3+0+6+5+9+2=25, 306592*25=7664800,

Hence Sixth Number would be " 7664800 "

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roshni.s   9 years AGO

1st term 67
6+7=13
2nd term= (67*13)=871
8+7+1=16
3rd term= (871*16)=13936
1+3+9+3+6=22
4th term= (13936*22)=306592
3+0+6+5+9+2=25
5th term=( 306592*25)=7664800

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keerthi choudhry   9 years AGO

6+7 , 8+7+1 , 1+3+9+3+6 , 3+0+6+5+9+2 , 7+6+6+4+8+0+0
13 16 22 25 31
/ / / /
3 6 3 6
/ / /
3 3 3
therefore, the answer is option: 5
7+6+6+4+8+0+0=31

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vimal tiwari   9 years AGO

sum of digits are in series

67 = > 6+7 =13 => 1+3 =4
871 => 8+7+1 = 16 => 1+6=> 7

hence 4 ,7,4,7...
next will be of sum 4..

5th option is correct

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Sushmita Ghanty   9 years AGO

67
6+7 = 13
67*13= 871
8+7+1= 16
871*16= 13936
1+3+9+3+6= 22
13936*22= 306592
3+0+6+5+9+2=25
306592*25 = 7664800

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RAVAL   9 years AGO

67=6+7=13
so, 67*13=871
871=8+7+1=16
so, 871*16=13936
same as,
306592=3+6+5+9+2=25
so, 306592*25=7664800

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prashanth   9 years AGO

67*13=871
871*16=13936
13936*22=306592
306592*25=7664800

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shiva   9 years AGO

67*(6+7) = 871
871*(8+7+1) = 13936
13936*(1+3+9+3+6)= 306592
306592*(3+0+6+5+9+2)=7664800

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anubhav kumar gupta   9 years AGO

67*(13)=871
871*(8+7+1)=13936
similarly,
,
,
306592*(3+0+6+5+9+2)=7664800

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Nazia Noorani   9 years AGO

67, 67*13 , 67*13*(13+3) , 67*13*16*13+9 , 67*13*16*22*(13+12)

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PRASHANT KUMAR   9 years AGO

871=67*(6+7)
13936=871*(8+7+1)
so REQD ANS=306592*25=7664800

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pankaj chaurasia   9 years AGO

871/67=13(6+7=13)
13936/871=16(8+7+1=16)
??therefore 3+0+6+5+9+2=25
now next no in the sequence is 25×306592=7664800

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SWARNIKA   9 years AGO

6+7=13,67*13=871
8+7+1=16,871*16=13936
1+3+9+3+6=22,13936*22=306592
3+0+6+5+9+2=25,306592*25=7664800

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Kirty   9 years AGO

sum of digits of the no. is multiplied with itself gives the result
So the addition of the digits of 306592 is 25 and 25 is multiplied with the no. gives 7664800

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PUSHPENDRA KUMAR   9 years AGO

67, 871, 13936, 306592, .....
Simple puzzle nothing in there :
In the given series every no's digits added and then multiply by itself .
Explanation:
1. 67*(6+7)=67*13=871 (2nd no)
2. 871*(8+7+1)=871*16=13936 (3rd no)
3. 13936*(1+3+9+3+6)=13936*22=306592 (4th no)
4. 306592*(3+0+6+5+9+2)=306592*25=7664800 (5th no)(Ans.)

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Ashu Kumar   9 years AGO

871%67=13
13936%871=16
306592%13936=22
SINCE WE SEE THAT 16-13=3,22-16=6..
AND PATTERN ARE 3,6,3,6..
SO NEXT TERM=25*306592=7664800

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Soma Naresh   9 years AGO

871=67×(6+7)=67×13
13936=871×(8+7+1)=871×16
306592=13936×(1+3+9+3+6)
=13936×22
306592×(3+0+6+5+9+2)=306592×25
=7664800

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