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1. 4, 3, 4, 9, 32 ……

a. 125

b. 135

c. 145

d. 155

2. 16 (81) 25 49 (169) 36 64 ( ? ) 4

a. 121

b. 84

c. 81

d. 100

3. 1.5, 3, 5.5, 9, 13.5, 19, …

a. 81

b. 15.5

c. 21.5

d. 25.5

4. Which term of the series 5,8,11,14,…….is 320?

a. 104th

b. 105th

c. 106th

d. 64th

5. In the series 5, 10, 20, 40,….what will be the 10th term?

a. 1280

b. 2560

c. 1820

d. 2650

6. QPO, SRQ, UTS, WVU, ?

a. XVZ

b. ZYA

c. YXW

d. VWX

7. deb ijg nol ? xyv

a. rsp

b. stp

c. rsq

d. stq

e. sto

8. AB, DEF, HIJK, ? , STUVWX

a. MNOPQ

b. LMNOP

c. LMNO

d. QRSTU

9. shg rif qje ? olc

a. ole

b. pkd

c. nmc

d. nlb

10. Find the wrong term in the letter-number series given below:

G4T, J10R, M20P, P43N, S90L

a. G4T

b. J10R

c. M20P

d. P43N

e. S90L

1. The numbers are (x*1)-1; (x2)-2; (x3)-3….

Hence the series would be (32*5)-5=155

2. The pattern is 82 (?) 22; ?= 8+2=102= 100

3. The pattern is get by adding 1.5, 2.5, 3.5 …..

Then, 19+6.5 = 25.5

4. Clearly, 5+3= 8, 8+3= 11, 11+3= 14,….

So this is an A.P series in which a=5, d=3.

Let the number of the terms be n

Then, 320= 5+(n-1)*3; 3n=318; n=106

5. This is an G.P series in which a= 5; r= 2

10th term= ar(n-1) = 5*2 (10-1) = 5*2 9 = 2560

6. Each term in the series consists of three consecutive letters in reverse order. The first letter of each term
and last letter of next term is the same.

7. The letters in each term are moved five steps forward to obtain the corresponding letters of next term.

8. The number of letters in the terms goes on increasing by one at each step. Each term consists of letters
in alphabetic order. The last letter of each term and first letter of next term are alternate.

9. The first and third letters of each term are moved one step backward and the second letter is moved one
step forward to obtain the corresponding letters of the next term.

10. The first letter of each term is moved three steps forward and the last letter is moved two steps
backward to obtain the corresponding letters of the next term. The numbers follow the sequence *2+1,
*2+2, *2+3, *2+4.

So, 10 is wrong and must be replaced by (4*2+1) = 9

Numbers Series

In the number series, some numbers are arranged in a particular sequence. All the , numbers form a series and change in a certain order.

The number itself may be

- Perfect Square
Eg: 4,9,16,25,36,……..
Ans: 49

- Perfect Cube
Eg: 1,8,27,64,125,……
Ans: 216

- Prime
Eg: 1,2,3,5,7………
Ans: 11

- Combination
Eg: 2,5,10,17,26……
Ans: 37

Alphabet Seiries

Another type of number series question involves the substitution of letters of the alphabet to numbers. For example A=1, B=2,C=3 etc. It may seem strange to consider these as number series questions but they do actually work in exactly the same way after substitution.

Eg: 1. D, G, J, M…….
Ans: P

2.C, X, D, W,….
Ans: E

3.S, U, W, Y,....
Ans: A

Exercise Questions

1) DEF, DEF2, DE2F2, _____, D2E2F3

a) DEF3
b) D3EF3
c) D2E3F
d) D2E2F2
Explanation: In this series, the letters remain the same: DEF. The subscript numbers follow this series:
111, 112, 122, 222, 223, 233, 333, ...

2) DKY FJW HIU JHS ——

a) KGR
b) LFQ
c) KFR
d)LGQ
Explanation : 1st letter = +2 ( D+ 2 = F)
2nd letter = -1 (K –1 = J)
3rd letter = -2 (Y-2 = W)

3) 101 131 374 383 313 727

a)383
b)374
c)101
d)727
Explanation : 374 (palindrome)

4) 380, 188, 92, 48, 20, 8, 2

a) 188
b) 92
c) 48
d) 20
Explanation : Wrong no. = 48, Correct no. = 44
Each term will be four more than two times the next term

5) 8 12 21 30 46 _____

a)54
b)62
c)50
d)34
Explanation: 2*2+4=4+4=8, 2*2+8=4+8=12, 3*3+12=9+12=21 , 3*3+21=9+21=30,
4*4+30=16+30=46, 4*4+46=16+46=62

6) 19 23 29 31 37 41 _______

a)43
b)47
c)53
d)51
Explanation : Numbers are all primes. The next prime is 43.