## Geometric Series

Geometric series is a arrangement of numbers in a certain order, where **some numbers are this type of series are based on ascending or descending order of numbers and each continues number is obtain by multiplication or division of the previous number with a static number.**

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**We need to observe and find the accurate number to the series of numbers. This type of problem are given in Quantitative Aptitude which is a very essential in banking exam. Under below given some more example for your better practice.**

__Geometric Series__

__Geometric Series__

**In geometric series number is a combination of number arranged. In example 1) 5, 45, 405, 3645, ? where you need to count them in a one step or two step calculation for obtain the difference common result according with the series of numbers.**

**At first you can calculate missing number in geometric series and that you place the actual missing number in the? or missing place. Be prepared when you calculate differences because it is either one or two step calculation. So when you calculate and get result of two difference numbers you need follow some step wise.**

**At first calculate the first number 5 with 9 and second number value we get that is 45 then again second number calculate multiply with 9 and get the third number and follow same steps which is carry up to last and after that you get actual missing number by finding the common value when you put the missing number you have noticed that all series numbers are common 9 which multiply with number and get next number difference.**

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**This kind of missing series calculation you go thorough some common calculation shortcut tricks using cube multiplication division addition cube square shortcut tricks.**

**In this type series example questions, it is sounds hard, but it really isn’t. Get it? Once you have done this, by practice with more example then you just easily can do in your way as well competitive and as in bank exam also. So, each of our examples are given below.**

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**Example #1 – Geometric Series**

**3, ? , 45, 144, 585**

**18****21****23****27**

**Show Answer Show How to Solve Open Rough Workspace**

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**Answer:**Option (A)

3 x 0 + 9 = 9

18 x 2 + 9 = 45

45 x 3 + 9 = 144

144 x 4 + 9 = 585

**How to Solve**3 x 0 + 9 = 9

**9 x 1 + 9 = 18**18 x 2 + 9 = 45

45 x 3 + 9 = 144

144 x 4 + 9 = 585

**Rough Workspace****Example #2 – Geometric Series**

**5, 45, 405, 3645, ?**

**26832****28667****30551****32805**

**Show Answer Show How to Solve Open Rough Workspace**

**Answer:**Option (D)

5 x 9 = 45

45 x 9 = 405

405 x 9 = 3645

**How to Solve**5 x 9 = 45

45 x 9 = 405

405 x 9 = 3645

**3645 x 9 = 32805**

**Rough Workspace****Example #3 – Geometric Series**

**73205, 6655, 605, 55, ?**

**3****4****5****7**

**Show Answer Show How to Solve Open Rough Workspace**

**Answer:**Option (C)

5 x 11 = 55

55 x 11 = 605

605 x 11 = 6655

6655 x 11 = 73205

**How to Solve****5**5 x 11 = 55

55 x 11 = 605

605 x 11 = 6655

6655 x 11 = 73205

**Rough Workspace****Example #4 – Geometric Series**

**21, 84, 336, ? , 5376**

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**1344****1262****1173****1061**

**Show Answer Show How to Solve Open Rough Workspace**

**Answer:**Option (A)

21 x 4 = 84

84 x 4 = 336

1344 x 4 = 5376

**How to Solve**21 x 4 = 84

84 x 4 = 336

**336 x 4 = 1344**1344 x 4 = 5376

**Rough Workspace****Example #5 – Geometric Series**

**9, 54, ? , 1944, 11664**

**226****324****381****753**

**Show Answer Show How to Solve Open Rough Workspace**

**Answer:**Option (B)

9 x 6 = 54

324 x 6 = 1944

1944 x 6 = 11664

**How to Solve**9 x 6 = 54

**54 x 6 = 324**324 x 6 = 1944

1944 x 6 = 11664

**Rough Workspace****Example #6 – Geometric Series**

**5, 35, ? , 1715, 12005**

**205****245****503****976**

**Show Answer Show How to Solve Open Rough Workspace**

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**Answer:**Option (B)

5 x 7 = 35

245 x 7 = 1715

1715 x 7 = 12005

**How to Solve**5 x 7 = 35

**35 x 7 = 245**245 x 7 = 1715

1715 x 7 = 12005

**Rough Workspace****Example #7**

**25, 100, ? , 1600, 6400**

**800****600****500****400**

**Show Answer Show How to Solve Open Rough Workspace**

**Answer:**Option (D)

25 x 4 = 100

400 x 4 = 1600

1600 x 4 = 6400

**How to Solve**25 x 4 = 100

**100 x 4 = 400**400 x 4 = 1600

1600 x 4 = 6400

**Rough Workspace****Example #8**

**6, 18, 54, ? , 486, 1458**

**124****162****188****360**

**Show Answer Show How to Solve Open Rough Workspace**

**Answer:**Option (B)

6 x 3 = 18

18 x 3 = 54

162 x 3 = 486

486 x 3 = 1458

**How to Solve**6 x 3 = 18

18 x 3 = 54

**54 x 3 = 162**162 x 3 = 486

486 x 3 = 1458

**Rough Workspace****Example #9**

**15, 30, 60, 120, ?**

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**180****220****240****310**

**Show Answer Show How to Solve Open Rough Workspace**

**Answer:**Option (C)

15 x 2 = 30

30 x 2 = 60

60 x 2 = 120

**How to Solve**15 x 2 = 30

30 x 2 = 60

60 x 2 = 120

**120 x 2 = 240**

**Rough Workspace****Example #10**

**19, ? , 475, 2375, 11875**

**88****90****93****95**

**Show Answer Show How to Solve Open Rough Workspace**

**Answer:**Option (D)

475 x 5 = 2375

2375 × 5 = 11875

**How to Solve****19 x 5 = 95**475 x 5 = 2375

2375 × 5 = 11875

**Rough Workspace****Example #11**

**3, 48, ? , 768, 3072**

**192****221****390****556**

**Show Answer Show How to Solve Open Rough Workspace**

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**Answer:**Option (A)

3 x 4 = 12

12 x 4 = 48

192 x 4 = 768

768 x 4 = 3072

**How to Solve**3 x 4 = 12

12 x 4 = 48

**48 x 4 = 192**192 x 4 = 768

768 x 4 = 3072

**Rough Workspace****Other Types of Number Series**

**Perfect Square Series****Ration Series****Mixed Series****Perfect Cube Series****<< Go back to Number Series main page**

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**We provide few shortcut tricks on Geometric Series. Please visit this page to get updates on more Math Shortcut Tricks. You can also like our facebook page to get updates.**

**If you have any question regarding this topic then please do comment on below section. You can also send us message on facebook.**

mohana says: you are providing easy tricks and very useful

M.MOHAN KUMAR says: 3*0+9=12???

3*0+9=9

0+9=9

rupesh says: ya u r right, how it is possible

tanisha roy says: i m definetly agree with you.according the VODMAS formula multiplication should take first place and than we can do addition.so the answer should be 3*0+9=9

manikandan says: wait

chinnasamy says: thank u sir

Manogna says: Hi , could you mail me all the shortcuts

mahendra rathore says: Sir hard level ke exanple batao please

krishma says: 3*0+9=9

How its 12??

Admin says: please recheck the problem

Anonymous says: Its too simple.

Get something to make us scratch ours heads!

alka says: this is very helpful thank u so much