Latest Infosys Aptitude Question SOLUTION: 16,36,100,324.... Find the next term.

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(#M40040710) INFOSYS Numerical Ability question number series Keep an EYE

16,36,100,324....
Find the next term.

Asked In Infosys Shrabasti Sinha (9 years ago)

Unsolved Read Solution (30)

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Read Solution (30) :

osin  (9 years ago)

1156
4^2,(4+2)^2,(6+4)^2,(10+8)^2,(18+16)^2

Is this solution Helpfull? Yes (46) | No   

Nirmal Kumar Thakur  (9 years ago)

4*4= 16 , 6*6=36, 10*10=100, 18*18=324, 34*34=1156
4+2= 6, 6+4=10, 10+8=18, 18+16=324
2*2=4, 4*2=8, 8*2=16

Is this solution Helpfull? Yes (22) | No (2)  

babu shaik  (9 years ago)

write 16=4^2
36=6^2
100=10^2
324=18^2
from above we observe that the difference between two number is multiple of 2^n
means
6-4=2 =>2^1
10-6=4 =>2^2
18-10=8 =>2^3
then next we get 2^4 as difference
then 18+16=34
next term is =34^2=1156

Is this solution Helpfull? Yes (16) | No   

Jagruti  (9 years ago)

answer : 1156
the series is the squares of numbers as 4,6,10,18...and so on
4 (+2),6 (+4), 10(+8),18(+16)...so nxt number will b 34...so answer is 34^2 = 1156

Is this solution Helpfull? Yes (8) | No   

apoorv verma  (9 years ago)

Ans. 1156
4^2=16
6^2=36
10^2=100
18^2=324
34^2=1156

diff btw the base numbers:
6-4=2
10-6=4 (double of 2)
18-10=8 (double of 4)
so following the pattern next difference should be of 16 i.e double of 8
therefore next base number is 18+16=34.
and the required number is 34^2=1156.

Is this solution Helpfull? Yes (3) | No   

Aniket choudhary  (9 years ago)

1156 will be the ans..

Is this solution Helpfull? Yes (2) | No   

Abhishek Anand  (9 years ago)

16,36,100,324...

These are square root of 4,6,10,18...
so the roots are in gapping of 2*2, 4*2,8*2,


so its 16, 36,100,324, 1156

----> ANS 1156

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Nikhil B Raut  (9 years ago)

1156
its simple

Is this solution Helpfull? Yes | No (1)  

DAMARLA BALAJI  (9 years ago)

4*4=16
6*6=36 6-4=2
10*10=100 10-6=4
18*18=324 18-10=8
34*34=1156 next difference should be 16 34-18=16

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Vasudha Bhaskar  (9 years ago)

1156 ie (34)^2

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dharmendra singh tomar  (9 years ago)

4*4=16 6*6=36 10*10=100 18*18=324 34*34=1156

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suman kumar  (9 years ago)

16=(3*2-2)^2
36=(4*2-2)^2
100=(6*2-2)^2
324=(10*2-2)^2
1156=(18*2-2)^2
so ,answer is 1156

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Archita Agarwal  (9 years ago)

4*4= 16 ,
6*6=36,
10*10=100,
18*18=324
34*34=1156


2^1=2, 2^2=4, 2^3=8,2^4=16
4+2= 6, 6+4=10, 10+8=18, 18+16=34

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S Raj  (9 years ago)

4*4,6*6(6-4),10*10(10-6),18*18(18-10),34*34(34-18),...............
......, ,(4+2),(6+2*2),(10+2*2*2),(18+2*2*2*2)

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Patan Noushad Begum  (9 years ago)

the series as follows 4^2,6^2,10^2,18^2....difference between two successive terms as follows 2,4,8,...so the next term is 10... so ans is 784

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anshul  (9 years ago)

34 square=1156

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HIMAJA . P  (9 years ago)

ans :
1156

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sanjana  (9 years ago)

1156
16,36,100,324...
4*4,6*6,10*10,18*18,...
2 ,4 ,8, ,16
addon with cumulative value give result ... ----

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Nilanjan Banerjee  (9 years ago)

4^2......6^2.......10^2.......18^2.....18+14=32^2=1024
2..........4.............8......->14..
2...........4...........6|
ans 1024

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meghana  (9 years ago)

1156
4^2,6^2,10^2,18^2,34^2

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abhishek kumar  (9 years ago)

16=4*4
36=6*6
100=10*10
324=18*18
1156=34*34 ans

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Mayank  (9 years ago)

1156.............

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mrinal sinha  (9 years ago)

1156............

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Nitish Kumar Dubey  (9 years ago)

1156

4 6 10 18 34 squre of all

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aswani mudireddy  (9 years ago)

1156 34834=1156

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akarsh  (9 years ago)

next term is =34^2=1156

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STITAPRANGYA DASH  (9 years ago)

4^2=16
6^2=36
10^2=100
18^2=324
34^2=1156

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priyatham  (8 years ago)

4^2 6^2 10^2 18^2
4 6 10 difference is 2 and 4 so again 2 and 4 is in 2*2 so next term is 4 and again from that next series is 4*2 so 8 and again 8*2=16 therefore 18+16=34 and is 34^2 gives 1156.

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nirmala  (6 years ago)

ans:1156
4^2,6^2,10^2,18^2,34^2

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Ruksar Kasam Sayyad  (6 years ago)

16 36 100 324 -----
4^2 6^2 10^2 18^2 34^2==>1496

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