What is the next number of the following sequence 27, 54, 81, 135, 189,........

M4maths Previous Puzzles

31 Aug 2015 Sequence What is the next number of the following sequence 27, 54, 81, 135, 189,........: OPtion
1) 108
2) 243
3) 405
4) 216
5) 378
6) 486
7) 297
8) 459
9) 351
10)None of these; Correct Option: 7 Best Solution (95)

Deepanshu Chaturvedi 9 years AGO

3*3*3=27
3*3*3*2=54
3*3*3*3=81
3*3*3*5=135
3*3*3*7=189
similarly,
3*3*3*11=297

Like? Yes (4) | No

Moumita Choudhury 9 years AGO

54-27 = 27
81-54 = 27
135 - 81 = 54
189-135 = 54 so 189 + (54*2) = 189+108 = 297.

Like? Yes (4) | No (2)

Chandrajeet Yadav 9 years AGO

1st Method:
-----------------
27, 54, 81, 135, 189, .......
(3)^3, (3)^3*2 , (3)^3*3, (3)^3*5, (3)^3*7.....
By multiplying 1st prime Number in (3)^3 we get 2nd term and multiplying 2nd prime number in (3)^3, we get 3rd term and so on...

So that by multiplying 11 (5th prime number) in (3)^3 we get required number (6th number of the given sequence) is (3)^3*11=297
================================================

2nd Method:
------------------
27, 54, 81, 135, 189, .......
27, 54, (27+54), (54+81), {(27+54)+2*54},....
27, 54, (27+54), (54+81), {(27+54)+2*54}, {(54+81)+2*81},....
27, 54, 81, 135, 189, 297,.....

Like? Yes (2) | No

Danda Sindhura 9 years AGO

27=3*9
54=3*2*9
81=3*3*9
135=3*5*9
189=3*7*9
next prime number which has to be multiply with 3 and 9 is 11..........so
3*11*9=297

Like? Yes (2) | No

pravin kumar 9 years AGO

27*1,27*2,27*3,27*5,27*7,27*11
multiplication with prime numbers

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vikas kulshrestha 9 years AGO

27*1=27
27*2=54
27*3=81
27*5=135
27*7=189
27*11=297
the series is multiplication of prime numbers.

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SAGNIK DATTA 9 years AGO

27*3,27*5,27*7,27*11

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Shubham Raj 9 years AGO

ans- option - 7) 297
27 * 2 (first prime no) =54
27 * 3(second prime) =81
27 * 5(third prime) =135
27 * 7(fourth prime) = 189
27 * 11 (fifth prime) =297

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BONAM SRINIVAS 9 years AGO

first two times 27 difference next two times 54 and next 108,so 189+108=297

Like? Yes (1) | No

Lakhi kant Roy 9 years AGO

The series is incrementing like this--------->
27*1=27
27*2=54
27*3=81
27*5=135
27*7=189
so,
27*11=297 (Ans)

Like? Yes (1) | No

sravani 9 years AGO

It is 297...
If the series is
27*1, 27*2,27*3,27*5,27*7,27*11=297

Like? Yes (1) | No

vivek raj 9 years AGO

27 is multiplied by prime nos
27*2=54
27*3=81
27*5=135
27*7=189
27*11=297

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sudiptaa 9 years AGO

27
54=27*2
81=27*3
135=27*5
189=27*7
27*11=297
All prime numbers

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velmala gangadhar 9 years AGO

27+27=54
54+27=81
81+54=135
135+54=189
189+108=297.....ans is 297 option 7

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Dhirendra Gautam 9 years AGO

54-27=27
81-54=27
now difference gets double
135-81=54
189-135=54
now again differnce get double
so,
?-189=108
so?=!97

Like? Yes (1) | No

ramya 9 years AGO

All the numbers are prime multiples of 27
that is:
27 *1, 27 *2, 27 *3, 27*5, 27 *7, so the next one must be 27 *11= 297

Like? Yes (1) | No

himanshu shekhar 9 years AGO

54-27=27
81-54=27
135-81=54
I.e the sum of above 2 diffrences
and 189-135=54
I.e. 54+54 is the next value I.e 108 , add this to 189 to get 297 as answer

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sum gup 9 years AGO

27*2=54
27*3=81
27*5=135
27*7=189
27*11=297

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darladiwakar 9 years AGO

9*3
9*3*2
9*3*3
9*3*5
9*3*7
9*3*11=297

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Sneha Chakraborty 9 years AGO

27*1 = 27
27*2 = 54
27*3 = 81
27*5 = 135
27*7 = 189

as we can see 2,3,5,7 is prime no., so next is 11 and therefore
27*11 = 297...........so ans is (7)

Like? Yes (1) | No

mithilesh izardar 9 years AGO

9*(3*1) , 9*(3*2) , 9*(3*3) , 9*(3*5), 9*(3*7) , 9*(3*11)

9*3*next prime number

Like? Yes (1) | No

Priyank 9 years AGO

In each and Every Term 27 Is Multiplied By Prime numbers

i.e 1,3,5,7
such that
27*2 =54
27*3 =81
27*5=135
27*7=189
after 7 -- 11 Is the Prime number ( Number which is divisible by 1 And thatself Only)
i.e. We multiplied by 11
i.e.27*11 =297

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ANUSHKA 9 years AGO

3*9=27
6*9=54 (3+3=6)
9*9=81 (6+3=9)
15*9=135 (9+6=15)
21*9=189 (15+6=21)
33*9=297 (21+12=33)

Like? Yes (1) | No

Saiteja Turlapati 9 years AGO

each element in the series is multiplied with prime numbers starting from 1.
27*1, 27*2, 27*3, 27*5, 27*7
so next in the series is 27*11 =297

Like? Yes (1) | No

Akash Kumar 9 years AGO

starting from 27
next terms are achieved by multiplying subsequent prime number to 27.As following
27
27*2=54
27*3=81
27*5=135
27*7=189
and so
next prime is 11 therefore
27*11=297
therefore 297 is right answer.

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Pronab Paul 9 years AGO

27
27*2=54
27*3=81
27*5=135
27*7=189
27*11=297

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KALA BHANU PRAKASH 9 years AGO

27+27=54
54+27=81
81+54=135
135+54=189
189+108=297.....ans is 297 option 7

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Ankit Singh 9 years AGO

27 multiplied by prime numbers 2, 3, 5, 7 then it is 11, so 27*11=297

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Rishikesh Ranjan 9 years AGO

27*2
27*3
27*5
27*7
27*11=297
(27*prime numbers)

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RAVAL 9 years AGO

there is a multiplication of 27 with prime no.s
27;
27*2=54
27*3=81
27*5=135
27*7=189
so,27*11=297

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vivek 9 years AGO

as here 27*2=54
27*3=81
27*5=135
27*7=189
27*11=297
2,3,5,7,11 are prime numbers

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Krishns 9 years AGO

27*2
27*3
27*5
27*7
27*11

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Dharmraj Sharma 9 years AGO

27*1=27
27*2=54
27*3=81
27*5=135
27*7=189
27*11=297

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sanjay singh meena 9 years AGO

differenece between first two(27-54,81-54) no is 27,next two(135-81,189-135)is 54 so next no will have differenc 108
so next no is 189+108=297

Like? Yes (1) | No

Ravi Yadav 9 years AGO

54-27=27
81-54=27
27 two times, now 27 gets doubled
135-81=54
189-135=54
54 two times, now 54 gets doubled
189+108=297

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kayenaat 9 years AGO

27=9x3x1
54=9x3x2
81=9x3x3
135=9x3x5
189=9x3x7
9x3x11= 297

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Math Lovers 9 years AGO

numbers are prime multiples (2, 3, 5, 7) of 27

so next number will be 11 multiples of 27 =297

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ANURAG DADWAL 9 years AGO

the difference of the first four terms is 27 and 54 that is
54-27=27
81-54=27
135-81=54
189-135=54
x-189=(should be multiple of 54 i.e 2x54=108)
now add 108+189=297

Like? Yes (1) | No

vishal varma 9 years AGO

series in format of
3*1*9,3*2*9,3*3*9,3*5*9,3*7*9,________
i.e, 3*11*9=297

Like? Yes (1) | No

mithilesh kumar 9 years AGO

multiply 27 by consecutive prime no.
27�2=54
27�3=81
27�5=135
27�7=189
so next prime no. is 11
27�11=297

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Mrinalini Singh 9 years AGO

27*1, 27*2, 27*3, 27*5, 27*7, 27*11=297
consecutive prime numbers

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nisha 9 years AGO

first 27 +27 = 54,
54+27 =81
81 + 54= 135
135 +54= 189
189 +(54+ 54) = 297 ans

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Amit Niranjan 9 years AGO

it is series of multiple of 27 with consecutive prime numbers.

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Kunal nemu 9 years AGO

27 * 1=27
27 * 2=54
27 * 3=81
27 * 5=135
27 * 7=189
here 1,2,3,5,7 are prime number ...
so next prime number is 11
so the answer is 27 * 11=297

Like? Yes (1) | No

A.neeli swarna 9 years AGO

3 multiplcation
starting 3*9=27
3*(9+9)=54
3*(18+9)=81
3*(27+18)=135
3*(45+18)=189
3*(63+36)=297
3*(99+36)=405

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tarun kumar rajak 9 years AGO

the series is in the form of = 27 (1,2,3,5,7,11......)
multiplication of prime number

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Surendra Naraga 9 years AGO

54-27=27
81-54=27
135-81=54
189-135=54
so next the difference will be 108
189+108=297

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Kumar Gaurav 9 years AGO

all the numbers are prime multiple of 27. 1,2,3,5,7,11,13..... like this

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DHAYYALA SREEKANTH REDDY 9 years AGO

9*3=27
9*6=54
9*9=81
9*15=135
9*21=189
9*33=297

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venkatesh 9 years AGO

MULTIPLES OF 27 WITH PRIME NUMBERS=
27*2,27*3,27*5,27*7,27*11=297

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H. Sreekanth 9 years AGO

2*27=54;
54+27=81;
81+54=135;
135+54=189;
189+108=297;

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sudhir 9 years AGO

the difference between number is increase by
27,27,(2*27=54),(2*27=54),so next will be(54*2=108)
so next term is 189+108=297

Like? Yes (1) | No

ezhilane 9 years AGO

since
27*1=27
27*2=54
27*3=81
27*5=135
27*7=189 then next prime no. is 11
27*11=297.
so 27 54 81 135 189 297

Like? Yes (1) | No

JAHAGIRDAR RUPALI MANOJ 9 years AGO

in this sequence
the numbers are multiple of 27 ,but he multipliers are only prime numbers.
the last multipliers is 7 i.e. 27*7=189
series is:-
27*1=27
27*2=54
27*3=81
27*5=135
27*7=189
and the next no is
27*11=297
option 7)

Like? Yes (1) | No

REVATHIVENKATESAN 9 years AGO

The difference between first two number=27
next 2 no difference=27
next 2 no difference=54
next 2 no difference=54
So the next 2 no difference must be 108.
189+108=297.
So the answer is 297.

Like? Yes (1) | No

Gousulu K 9 years AGO

54-27=27
81-54=27
135-81=54
189-135=54
so next the difference will be 108
189+108=297

Like? Yes (1) | No

chindam laxman 9 years AGO

27=9*3=9*3*1
54=9*6=9*3*2
81=9*9=9*3*3
135=9*15=9*3*5
189=9*21=9*3*7
there fore 297=9*33=9*3*11

Like? Yes (1) | No

PALAK AGRAWAL 9 years AGO

27×2=54
27×3=81
27×5=135
27×7=189
27×11=297
I.e :27×prime no.

Like? Yes (1) | No

Alina Roy 9 years AGO

9*3=27
9*3*2=54
9*3*3=81
9*3*5=135
9*3*7=189
9*3*11=297

Like? Yes (1) | No

ajit 9 years AGO

series is - 3x9, 6x9, 9x9, 15x9, 21x9, 33x9
3 3 6 6 12
3x2 3x2 6x2

Like? Yes (1) | No

Rupkatha Banerjee 9 years AGO

54-27=27
81-54=27
195-81=54
189-135=54
189+108=297

Like? Yes (1) | No

indira 9 years AGO

27/3,54/3,81/3,135/3,189/3 we get 9,18,27,45,63 when divided by 9 we get 1,2,3,5,7 which are prime numbers.then next prime num is 11..hence multiplied by 9, then we get 99..again multiplied by 3 we get 297 as ans.

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Dileep Kumar 9 years AGO

because in 1st two pairs 27 is difference and gain in next two pairs difference is 54 then again for next two pairs difference should be 108

Like? Yes (1) | No

santosh kumar patel 9 years AGO

27*2=54
27*3=81
27*5=135
27*7=189
27*11=297

27*prime number

Like? Yes (1) | No

Tharun 9 years AGO

multiplying 27 with prime numbers that is in the series next with 11

Like? Yes (1) | No

sireesha.yammanuru 9 years AGO

27+27=54
54+27=81
81+54=135
135+54=189
189+108=297

Like? Yes (1) | No

UDIT 9 years AGO

54-27=27
81-54=27
double 27
135-81=54
189-135=54
so now double 54
189+108=297

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Anusha Kota 9 years AGO

Reason is 27* consecutive prime numbers
27
27*2=54
27*3=81
27*5=135
27*7=189
27*11=297

Like? Yes (1) | No

Biswajit Bora 9 years AGO

54-27=27
81-54=27

Now, 27*2=54

135-81=54
189-135=54

Now, 54*2=108

297-189=108

So, the next number is 297 :)

Like? Yes (1) | No

Vishal Kumar 9 years AGO

27*1=27,27*2=54,27*3=81,27*5=135,27*7=189...
1,2,3,5,7 is a prime number series that why the next number is 27*11=297

Like? Yes (1) | No

Amrita Kumari 9 years AGO

27*2,27*3,27*3,27*5,27*7,27*11...
prime nos..2,3,5,7,11....
27 multiplied by prime nos.

Like? Yes (1) | No

THUMMALA VINEESHA 9 years AGO

Series follows 3*9*1=27
3*9*2=54
3*9*3=81
3*9*5=135
3*9*7=189
3*9*11=297

Like? Yes (1) | No

Koumudhi Bonagiri 9 years AGO

series follow the below logic...
27x1, 27x2, 27x3, 27x5, ...27x the next prime number i.e; 7
27x7 = 297

Like? Yes (1) | No

Goutham 9 years AGO

27
54=27*2
81=27*3
135=27*5
189=27*7
NEXT NUMBER IS
27*11=297

Like? Yes (1) | No

shameer guptha 9 years AGO

9*3,9*6,9*9,9*15,9*21.. Why i choose 3,6,9,15,21 as a pattern because they are all productive prime nos.So,3*1,3*2,3*3,3*5,3*7

So the next pattern will be 3*11=33

Hence,the next number is 9*33=297.

Like? Yes (1) | No

shivam dubey 9 years AGO

series is become by multiplying prime numbers
27*2 = 54
27*3 = 81
27*5 = 135
27*7 = 189
27* 11 = 297

Like? Yes (1) | No

Mugesh sivagnanam Krishnapillai 9 years AGO

The sequence os formed by the multiples of 27 with prime
numbers 2,3,5,7,11.....
Therefore the sequence is 27,54,81,135,189,297.....

Like? Yes (1) | No

madhav gang 9 years AGO

27*1=27
27*2=54
27*3=54
27*5=135
27*7=189
27*11=297
it follows the series 1,2,3,5,7,11

Like? Yes (1) | No

R.NIVEDITA 9 years AGO

All the numbers are multiples of 27.
The first number can be given as (27*1)
The second number can be given as (27*2)
Third number:(27*3)
Fourth number:(27*5) and so on..
Note that only prime numbers are being multiplied with the number 27.
The last number is 189 = 27*7
The next number in the sequence is:
27*11=297

Like? Yes (1) | No

NAVEEN KUMAR 9 years AGO

9*3--(3*1)
9*6--(3*2)
9*9--(3*3)
9*15--(3*5)
9*21---(3*7)..
hence next prime no 11 so,11*3
9*33=297

Like? Yes (1) | No

Shashank Sourabh Singh 9 years AGO

9*3,9*6,9*9,9*15,9*21.. We choose 3,6,9,15,21 as a pattern because they are all productive prime numbers.So,3*1,3*2,3*3,3*5,3*7

Hence,the next number is 9*33=297.

Like? Yes (1) | No

mukul 9 years AGO

54-27=81-54=27
135-81=189-135=54(27*2)
therefore next term will be 108+189=297
{54*2=108}

Like? Yes (1) | No

Suraj Raju 9 years AGO

27*1,27*2,27*3,27*5,27*7,..(27*prime numbers)
So 27*11=297

Like? Yes (1) | No

M Narasimhulu 9 years AGO

given 27,54,81,135,189 which are mulitiples of 27*consecutive prime numbers i.e.,
27*1,27*2=54,27*3=81,27*5=135,27*7=189,then 27*11=297

Like? Yes (1) | No

PRIYADHARSINI.P 9 years AGO

the 1st 2 difference between the numbers in the series is 27, whereas next 2 difference is 54 (27*2) and so on.

Like? Yes (1) | No

YASWANTH REDDY 9 years AGO

27 = 27*1
54 = 27*2
81 = 27*3
135 = 27*5
189 = 27*7
these numbers are obtained by multiplying the number 27 with prime numbers starting from 1...if we continue like that, the next number we get will be
27*11 = 297

Like? Yes (1) | No

deepa singh 9 years AGO

54-27=27
81-54=27
135-81=54(27+27)
189-135=54
189+(54+54)=297

Like? Yes (1) | No

Ankita Mishra 9 years AGO

first two digits have the difference of 27
and next two have difference of 54
so at next it will be of difference 108
hence the answer is 297

Like? Yes (1) | No

Ravi Kumar 9 years AGO

9*3*1,9*3*2,9*3*3,9*3*5,9*3*7, so next no is 9*3*11 as 9*3 is constant the other multiplied no are prime numbers

Like? Yes (1) | No

ishan chourishi 9 years AGO

the series consists of the number we get by multiplying 27 * prime numbers.
27*1=27
27*2=54
27*3=81
27*5=135
27*7=189
next prime number is 11, so
27*11=297
hence 297 is answer.

Like? Yes (1) | No

bharath 9 years AGO

27+27=54
54+27=81
81+54=135
135+54=189
189+108=297

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ayushi dhanak 9 years AGO

Because 27 are divided by prime numbers 2*27=54,3*27=81,5*27=135,7*27=189,then next prime no is 11 therefore 11*27=297

Like? Yes (1) | No

Mayank Kumar 9 years AGO

57-27=27
81-54=27
135-81=54
189-135=54
(since, 27x2=54; and 54x2=108)
thus,
189+108=297

Like? Yes (1) | No

yadlapati venkat 9 years AGO

prime numbers sequence 1,2,3,5,7,11,13,17,....

Like? Yes (1) | No

LAVANYA P 9 years AGO

Multiply 27 with the prime numbers such as 2,3,5,7,11......
so the next answer will be 27*11=297

Like? Yes (1) | No

Dimple

India

Punjab

Time: 00:01:33

Points

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What is the next number of the following sequence 27, 54, 81, 135, 189,........

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