Latest IBM Aptitude Question SOLUTION: What is the next number of the following sequence 2, 9, 5, 49, 11, 169, 20

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What is the next number of the following sequence
2, 9, 5, 49, 11, 169, 20

Asked In IBM Jagriti Banerjee (10 years ago)

Unsolved Read Solution (19)

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Read Solution (19) :

Saraswathy  (10 years ago)

Wrong question... Question might be 2, 9, 5, 49, 11, 169, 17, ?
Square the alternate prime numbers
2
3^2 = 9
5
7^2 = 49
11
13^2 = 169
17
19^2 = 361

Ans : 17, 361

Is this solution Helpfull? Yes (46) | No (9)  

Raja  (10 years ago)

It is the sequance of two series
one is->2,5,11,20
2
2+3=5
5+(3+3)=11
11+(3+3+3)=20
another is->9,49,169
3^2=9
(3+4)^2=7^2=49
(7+4+2)^2=13^2=169
(13+4+2+2)^2=21^2=441
Ans->441

Is this solution Helpfull? Yes (16) | No (6)  

Sharmila  (10 years ago)

yes wrong question

Is this solution Helpfull? Yes (6) | No (2)  

Ankan Biswas  (10 years ago)

It's absolutely correct question.
answer will be 32 , 441 , 47, .........
series 1 : 2, 5 ,11 , 20 ,...
next number = 32 (Difference in increase keeps increasing by 3)
series 2 : 9 or 3^2, 49 or 7^2, 169 or 13^2, ....
next number = 21^2 or 441 (Difference in increase of bases keeps increasing by 2)

Is this solution Helpfull? Yes (6) | No (4)  

joydeb mondal  (10 years ago)

2,9,5,49,11,169,20,x,y
(2,5,11,20,y) (9,49,169,x)
5-2=3
11-5=6
20-11=9
Y-20=12 so,y=32
3*3=9
7*7=49
13*13=169
21*21=441

Is this solution Helpfull? Yes (5) | No (1)  

rakesh  (7 years ago)

Dear Admin,
Everyone is providing their own solution.Every solution seems correct.Please do interfere and provide the correct solutioin

Is this solution Helpfull? Yes (1) | No   

Roopali  (10 years ago)

[2]+3=[5]
[5]+6=[11]
[11]+9=[20]
Thus we get the series
2,_,5,_,11,_,20
now for remaining numbers i.e.
9,49,169,_
9=09 where square(0)=0 9 i.e. 09
49 where square(2)=4 9 i.e. 49
169 where square(4)=16 9 i.e. 169
so, next number will be square(6) 9 i.e. 369
->369 Ans.

Is this solution Helpfull? Yes | No (7)  

Soham Satpati  (10 years ago)

I think there is 10 in place of 11.
i think correct series is: 2,9,5,49,10,169,20,?

Is this solution Helpfull? Yes | No (3)  

saisudha sarva  (10 years ago)

529 =(23)^2

Is this solution Helpfull? Yes | No (1)  

Divya  (10 years ago)

wrong series i think 2,9,5,49,11,169,17
because prime numbers
2
3^2===>9
5
7^2===>49
11
13^2==>169
17
19^2==>361

Is this solution Helpfull? Yes | No (1)  

Subrata Patra  (10 years ago)

2, 9, 5, 49, 11, 169, 20,...
two sequence are there
one is 2,5=2+3,11=5+6,20=11+9,
other one is 9=3^2,49=7^2,169=13^2,...
next term will be (13+6)^2=19^2=361

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PRATIK DIXIT  (10 years ago)

2 3^2=9
5(difference 3) 7^2=49
11(difference 6) 13^2=169
20(difference 9) 21^2=441 s answer

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kalyan   (9 years ago)

2,(2+1)(2+1),5,(5+2)(5+2),11,(11+3)(11+3),20,(20+4)(20+4)
ans:-576

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kalyan   (9 years ago)

2,(2+1)(2+1),5,(5+2)(5+2),11,(11+2)(11+2),20,(20+3)(20+3)
ans:-529

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amit  (9 years ago)

2 9 5 49 11 169 20 __
(2 5 11 20) and (9 49 169 __)
2+1(3)=5
5+2(3)=11
11+3(3)=20

2nd series ==square of alt.prime nos.
3 7 13 ..therefore ans==(19)^2=361

Is this solution Helpfull? Yes | No   

Raju kumar   (9 years ago)

2,5,11,20
2+3=5
5+6=11
11+9=20
other part
9,49,169,?
9+40=49
49+120=169
169+200=369
so ans is 369

Is this solution Helpfull? Yes | No (1)  

vartika jain  (9 years ago)

absolutely wrong question...........:) :)

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Surit Datta  (9 years ago)

the answer is 361
but the value will be 17 not 20

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bhavesh kotwani  (7 years ago)

odd series is increasing by 3 every time like 3,6,9,12
and the even is square of prime no.s
so the answer will be 289,32

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