What is the next number of the following sequence 246, 20, 689, 66, 479, 55, 369, ....

M4maths Previous Puzzles

26 Sep 2016 Sequence

What is the next number of the following sequence
246, 20, 689, 66, 479, 55, 369, ....

OPtion

1) 20
2) 64
3) 66
4) 92
5) 55
6) 85
7) 45
8) 74
9) 36
10)35

Solution

(246, 20), (689, 66), (479, 55), (369, ....)
abc = (a*b + b*c)-(a*c)
246 = (2*4 + 4*6)-(2*6) = (8+24)-12 = 32-12 = 20
689 = (6*8 + 8*9)-(6*9) = (48+72)-54 = 120-54 = 66
479 = (4*7 + 7*9)-(4*9) = (28+63)-36 = 91-36 = 55
Similarly
369 = (3*6 + 6*9)-(3*9) = (18+54)-27 = 72-27 = 45

Option 7)

Correct Option: 7 Best Solution (3)

Ankit Sharma   8 years AGO

Take pairs... i.e
246,20 689,66 479,55
In every pair..... Let it be abc
So 2nd term is as
b*c-a*(c-b)
Therefore it will be
6*9-3(9-6)=54-9= 45

Like? Yes (2) | No (1)  

Lakshmi Narayanan.k   8 years AGO

246,20,689,66,479,55,369,_
246=2*4+(4-2)6=20.
689=6*8+(8-6)9=66.
479=4*7+(7-4)9=55.
369=3*6+(6-3)9=45. (opt 7)

Like? Yes (4) | No (4)  

gulshan   8 years AGO

246= 2*6+4+4=20
689 =6*9+8+4=66
479 =4*9+7+12=55
369 = 3*9+6+12=45
that my ans is 45

Like? Yes (3) | No (5)