Series Shortcuts Practice Problems Solution with Explanation

Rajeev Reddy Nareddula 6/09/2018

Source (Internet): IACE Material.

What is SERIES?

SERIES is an important part of the Reasoning section in competitive Examinations. Series is a group of elements which follows a fixed pattern.

Example: 1) 2,4,6,8,10,12 (Number Series)
                2) A,C,E,G,I,K (letter Series)
                3) -,=, △, ▭ (Non-verbal Series)

NUMBER SERIES: For better understanding , we will classify this in to five types.

1. Difference Series :If the given Series is increase (or) decrease with a normal difference then that Series is Difference Series.

Example: 18,22,26,30,34,38 (constant difference) .

Example: 9,14,18,21,23,24 .

2.Product Series : If the given series is increase (or) decrease with a abnormal difference then that Series might be product Series .

Example: 3,6,18,7,360,2160 (Here multiplying *2 ,*3,*4,*5,and *6).

Example: 16,8,8,12,24,60,180 (Here multiplying *0.5,*1,*1.5,*2,*2.5 and *3 ).

3.Combination Series: If the given Series has more than one type of operation performed (or) more than one series combined together is a combination Series.

Example: 6,18,22,110,116,812 (*3,+4,*5,+6 and *7).

Example: 6,20,43,131,265,789 (*3+2,*2+3,*3+2, and *2+3).

4.Squares and Cubes Series: If the given Series is related to the squares of the numbers (or) cubes of numbers (or) near to squares and cubes then that Series is called squares and cubes Series .

Example: 4,16,5,25,6,36,7,49( Here number and its squares).

Example: 16,36,64,100 ( Here even numbers squares).

Example: 16,36,64,81( Here composite numbers squares).

5.General Series:

Example: 2,3,5,7,11,13,17,19 ( A Series of Prime Numbers).

Example: 2,3,5,8,13,21,34,55 ( A Series of Fibonacci Numbers).

Example: M,T,W,F,S,S ( A Series of starting letter of a week).

Exercise

             1.Problem 11,13,17,19,23,29 _

             Answers: a) 30 b) 32 c) 31 d) 45 e) None of these.

             Solution: c) 31 (Next prime number).

             2.Problem 2,14,18,46,82,172, _

             Answers: a) 238 b) 338 c) 218 d) 418 e) None of these.

             Solution: b) 338 (*2+10,*2-10,*2+10,*2-10,*2+10 and *2-10).

             3.Problem 0,6,24,60,120,210, _

             Answers: a) 630 b) 436 c) 536 d) 336 e) None of these.

             Solution: d) 336 (1³-1,2³-2,3³-3,4³-4,5³-5,6³-6 and 7³-7).

             4.Problem 15,21,39,77,143, _

             Answers: a) 245 b) 346 c) 243 d) 276 e) None of these.

             Solution: a) 245 (Difference +6,+18,+38,+66,+102 next difference +12,+20,+28,+36 next difference +8,+8 and +8).

             5.Problem 1,2,8,_,148,765

             Answers: a) 42 b) 33 c) 52 d) 65 e) None of these.

             Solution: b) 33 (*1+1,*2+4,*3+9,*4+16 and *5+25 ).

Result(s):

• number series quiz
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• tough number series questions