1. A, B, D, G, .....

A. L B. M C. J D. K

Answer - Option D
Explanation -
Pattern is [latex]^{1}{A}, ^{1}{A } + 1, ^{2}{B} + 2, ^{4}{D} + 3, ^{7}{G} + 4,.....[/latex]
i.e, Missing letter = K.
2. A, D, H, M, S .....

A. U B. V C. Y D. Z

Answer - Option D
Explanation -
Pattern is [latex]^{1}{A}, ^{1}{A} + 3, ^{4}{D} + 4, ^{8}{H} + 5, ^{13}{M} + 6, ^{19}{S} + 7.....[/latex]
i.e, Missing letter = Z.
3. X, U, R, O, L, .....

A. I B. J C. K D. L

Answer - Option A
Explanation -
Pattern is
[latex]^{24}{X}, ^{24}{X} - 3, ^{21}{U} - 3, ^{18}{R} - 3, ^{15}{O} - 3, ^{12}{L} - 3.....[/latex]
i.e, Missing letter = I.
4. R, M, ....., F, D, C

A. F B. G C. H D. I

Answer - Option D
Explanation -
Pattern is
[latex]^{18}{R}, ^{18}{R} - 5, ^{13}{M} - 4, ^{9}{I} - 3, ^{6}{F} - 2, ^{4}{D} - 1.....[/latex]
i.e, Missing letter = I.
5. AZ, BY, CX, DW, .......

A. EU B. EV C. EW D. FW

Answer - Option B
Explanation -
Pattern is [latex]^{1}{A}{Z}_{1}, ^{2}{B}{Y}_{2}, ^{3}{C}{X}_{3}, ^{4}{D}{W}_{4}, ^{5}{E}{V}_{5},.....[/latex]
i.e, Missing letter = EV
6. DF, GJ, KM, NQ, RT, .....

A. WV B. UX C. XZ D. YZ

Answer - Option B
Explanation -
Pattern is
[latex]^{4}{D}^{6}{F}, ^{7}{G}^{10}{J}, ^{11}{K}^{13}{M}, ^{14}{N}^{17}{Q}, ^{18}{R}^{20}{T}, ^{21}{U}^{24}{X}, ,.....[/latex]
i.e, Missing letter = UX.
7. ABZ, BCY, CDX, DEW, ......

A. EFV B. FEV C. DEF D. DEV

Answer - Option A
Explanation -
Pattern is
[latex]^{1}{A}^{2}{B}{Z}_{1}, ^{2}{B}^{3}{C}{Y}_{2}, ^{3}{C}^{4}{D}{X}_{3}, ^{4}{D}^{5}{E}{W}_{4}, ^{5}{E}^{6}{F}{V}_{5},.....[/latex]
i.e, Missing letter = EFV
8. NEQ, MGO, LIM, KKK, .....

A. PRI B. YAM C. AAJ D. JMI

Answer - Option D
Explanation -
Pattern is
[latex]^{14}{N}^{5}{E}^{17}{Q}, ^{13}{M}^{7}{G}^{15}{O}, ^{12}{L}^{9}{I}^{13}{M}, ^{11}{K}^{11}{K}^{11}{K}, ^{10}{J}^{13} {M}^{9}{I},.....[/latex]
i.e, Missing letter = JMI
9. AYD, BVF, DRH, ....., KGL

A. FMI B. GMJ C. HLK D. GLJ

Answer - Option B
Explanation -
Pattern is
[latex]^{1}{A} {Y}_{2} ^{4}{D}, ^{2}{B} {V}_{5} ^{6}{F}, ^{4}{D} {R}_{9} ^{8}{H}, ^{7}{G} {M}_{14} ^{10}{J}, ^{11}{K} {G}_{20} ^{12}{L},.....[/latex]
i.e, Missing letters = GMJ.
10. A, CD, GHI, ......, UVWXY

A. LMNO B. MNO C. NOPQ D. MNOP

Answer - Option D
Explanation -
Pattern is
[latex]^{1}{A}, ^{3}{C}^{4}{D}, ^{7}{G}^{8}{H}^{9}{I},^{13}{M}^{14}{N}^{15}{O}^{16}{P}, ^{21}{U}^{22}{V}^{23}{W}^{24}{X}^{25}{Y},.....[/latex]
i.e, Missing letter = MNOP.
11. DCBA, WXYZ, HGFE, STUV, LKJI, .....

A. OPQR B. MNOP C. NOPQ D. ONML

Answer - Option A
Explanation -
Pattern is
[latex]^{4}{D}^{3}{C}^{2}{B}^{1}{A}, {W}_{4}{X}_{3}{Y}_{2}{Z}_{1}, ^{8}{H}^{7}{G}^{6}{F}^{5}{E}, {S}_{8}{T}_{7}{U}_{6}{V}_{5}, ^{12}{L}^{11}{K}^{10}{J}^{9}{I}, {O}_{12}{P}_{11}{Q}_{10}{R}_{9},.....[/latex]
i.e, Missing letter = OPQR.
12. shg, rif, qje, pkd, .....

A. ole B. olc C. nmc D. nlb

Answer - Option B
Explanation -
Pattern is
[latex]{s}_{8}^{8}{h}^{7}{g}, {r}_{9}^{9}{i}^{6}{f}, {q}_{10}^{10}{j}^{5}{e}, {p}_{11}^{11}{k}^{4}{d}, {o}_{11}^{12}{l}^{3}{c},........ [/latex]
i.e, Missing letter = olc
13. ab __ ba __ b.a __

A. bab B. aba C. bbb D. abb

Answer - Option D
Explanation -
Pattern is ab/ab/ab/ab/ab.
14. abaa __ aab __ a __ a

A. abb B. aba C. bab D. aab

Answer - Option C
Explanation -
Pattern is aba/aba/aba/aba
15. aa __ b __ abb ____ bb

A. abaa B. bbaa C. baaa D. baba

Answer - Option C
Explanation -
Patter n is aa/bb/aa/bb/aa/bb

1. a __ ab __ baa __ bb __

A. baba B. abab C. aabb D. bbaa

Answer - Option B
Explanation -
Pattern is aaa/bbb/aaa/bbb.
2. abc __ bc __ c __

A. acbbab B. aabbca C. aabacb D. aababc

Answer - Option D
Explanation -
Pattern is abc/abc/abc/abc.
3. aabc ____ bca __ b __ a __ bc

A. aabca B. aacba C. aaaca D. abaac

Answer - Option C
Explanation -
Pattern is aa/bc/aa/bc/aa/bc/aa/bc.
4. a __ abbb __ ccccd __ ddccc __ bb __ ba

A. abcda B. abdbc C. abdcb D. abcad

Answer - Option C
Explanation -
pattern is aaa/bbbb/cccc/dddd/cccc/bbbb/a
5. adb __ ac __ da __ cddcb __ dbc __ cbda

A. bccba B. cbbaa C. ccbba D. bbcad

Answer - Option B
Explanation -
Pattern is adbc/acbd/abcd/dcba/dbca/ebda
Here letters are equidistant from the begining and the end of series are the same.
6. b __ abbc __ bbca __ bcabb __ ab

A. acaa B. acba C. cabc D. cacc

Answer - Option C
Explanation -
Pattern is bcab/bcab/bcab/bacb/bcab.
7. ac __ cab __ baca __ aba __ acac

A. aacb B. acbc C. babb D. bcbb

Answer - Option A
Explanation -
Pattern s combination of two series acac and abab
acac/abab/acac/abab/acac
8. b __ b __ bb ____ bbb __ bb __ b

A. bbbbba B. bbaaab C. ababab D. aabaab

Answer - Option C
Explanation -
Pattern is babb/bbab/bbba/bbbb.
Thus, in each sequence, a moves one step forward and b takes its place and finally in the fourth sequence, it is eliminated.
9. a __ bc __ c __ abb __ bca __

A. cccbc B. cbbac C. accba D. abbba

Answer - Option C
Explanation -
Pattern is aa/b/cccc/a/bbbb/c/aa.
10. 18, 21, 24, 27, .....

A. 32 B. 30 C. 31 D. 29

Answer - Option B
Explanation -
Pattern is a, a + d, a + 2d, .......
i.e. 18, 18 + 3, 21 + 3, 24 + 3, ......
i.e, Missing number = 27 + 3 = 30.
11. 885, 870, 855, 840, ......

A. 835 B. 855 C. 825 D. 815

Answer - Option C
Explanation -
Pattern is a, a – d, a – 2d, .....
i.e, Missing number = 840 – 15 = 825.
12. 3, 9, 27, 81, ......

A. 243 B. 324 C. 342 D. 432

Answer - Option A
Explanation -
Pattern is 3, 3 * 3, 9 * 3, 27 * 3, .......
i.e, Missing number = 81 * 3 = 243.
13. 1, 4, 9, 16, 25, ......

A. 35 B. 36 C. 38 D. 34

Answer - Option B
Explanation -
Pattern is [latex]{1}^{2}, {2}^{2}, {3}^{2}, {4}^{2}, {5}^{2},.....[/latex]
i.e, Missing number = [latex]{6}^{2}[/latex] = 36.
14. 216, 221, 231, 246, 266, ......

A. 289 B. 271 C. 281 D. 291

Answer - Option D
Explanation -
Pattern is + 5, + 10, + 15, + 20, ....
i.e, Missing number = 266 + 25 = 291.
15. 11, 16, 23, 32, 43, .....

A. 56 B. 55 C. 57 D. 54

Answer - Option A
Explanation -
Pattern is + 5, + 7, + 9, + 11, ....
i.e, Missing number = 43 + 13 = 56.

1. 1, 6, 15, 28, 45, ......

A. 56 B. 66 C. 57 D. 63

Answer - Option B
Explanation -
Pattern is + 5, + 9, ......, + 21, + 25
Missing number = 45 + 21 = 66.
2. 64, 144, 256, 400, .....

A. 529 B. 484 C. 676 D. 576

Answer - Option D
Explanation -
Pattern is [latex]{8}^{2}, {12}^{2}, {16}^{2}, {20}^{2},.....[/latex]
i.e, Missing number = [latex]{(20 + 4)}^{2}[/latex] = 576.
3. 2, 5, 10, 17, ......

A. 21 B. 26 C. 27 D. 29

Answer - Option B
Explanation -
Pattern is [latex]{1}^{2} + 1, {2}^{2} + 1, {3}^{2} + 1, {4}^{2} + 1,.....[/latex]
Missing number = [latex]{5}^{2} [/latex] + 1 = 26.
4. 2, 10, 30, 68, .....

A. 130 B. 140 C. 142 D. 138

Answer - Option A
Explanation -
Pattern is [latex]{1}^{3} + 1, {2}^{3} + 2, {3}^{3} + 3, {4}^{3} + 4,.....[/latex]
Missing number = [latex]{5}^{3} [/latex] + 1 = 130.
5. 31, 35, 43, 59, 91, ......

A. 135 B. 145 C. 155 D. 165

Answer - Option C
Explanation -
Pattern is + 4, + 8, + 16, + 32, ....
i.e. [latex]{2}^{2},+ {2}^{3},+ {2}^{4},+ {2}^{5},.....[/latex]
i.e, Missing number = 91 + [latex]{2}^{6}[/latex] = 91 + 64 = 155.
6. F – 1, G – 3, J – 5, O – 8, ......

A. W – 3 B. L – 14 C. U – 10 D. Z – 26

Answer - Option A
Explanation -
Pattern varies as
[latex] ^{6}{F} - 1, ^{6 + 1}{G} - 3, ^{7 + 3}{J} - 5, ^{10 + 5}{O} - 8, ^{15 + 8}{W} .....[/latex]
i.e. numerals represent the places which varies
7. D – 4, G – 7, I – 9, M – 13, ......

A. P – 14 B. O – 15 C. Q – 16 D. M – 17

Answer - Option B
Explanation -
In the given series, all the alphabets with their positions.
8. B – 3, D – 6, F – 9, H – 12, ......

A. L – 14 B. M – 13 C. J – 15 D. I – 9

Answer - Option C
Explanation -
Pattern is combination of two series
[latex]^{2}{B}, ^{4}{D} , ^{6}{F}, ^{8}{H}, ^{10}{J},.....[/latex] and 3, 6, 9, 12, 15, .......
9. 3F, 6G, 111, 18L, ......

A. 210 B. 25N C. 27P D. 27Q

Answer - Option C
Explanation -
Pattern is combination of two series
3, 6, 11, 18, 27, ..... and [latex]^{6}{F}, ^{7}{G} , ^{9}{I}, ^{12}{L}, ^{16}{P}, .....[/latex]
i.e, Missing term = 27 P.
10. [latex]{C}_{3},{H}_{8},{O}_{15},.....[/latex]

A. [latex]{X}_{24}[/latex] B. [latex]{I}_{35}[/latex] C. [latex]{T}_{26}[/latex] D. [latex]{J}_{35}[/latex]

Answer - Option A
Explanation -
Letters with their positions
11. Q – 49, P – 36, O – 25, N – 16, .....

A. N – 9 B. M – 9 C. L – 9 D. K – 9

Answer - Option B
Explanation -
Pattern varies as
Q, P, O, N, M, ........ and 49, 36, 25, 16, 9, 4, ......
12. B2D, E3H, I4M, ......

A. N5R B. N5S C. N5Q D. N5T

Answer - Option B
Explanation -
Numeral indicates the places between letters.
13. A1E, F4J , K9O, .......

A. Q4U B. W1X C. P16T D. T2V

Answer - Option C
Explanation -
Pattern is combination of two series
[latex]^{1}{A}^{5}{E},^{6}{F}^{10}{J}, ^{11}{K}^{15}{0},^{16}{P}^{20}{T},.....[/latex] and 1, 4, 9,16, ......
14. C4X, F9U, I16R, .....

A. K25P B. L25P C. L25O D. L27P

Answer - Option C
Explanation -
Pattern is combination of two series
[latex]^{3}{C}{X}_{3}, ^{6}{F}{U}_{6}, ^{9}{I}{R}_{9}, ^{12}{L}{O}_{12},.....[/latex]and 4, 9, 16, 25, ...
15. A3B, C7D, E11F, G15H, .....

A. I20J B. I19K C. J19K D. I19J

Answer - Option D
Explanation -
Pattern is
A3B, C7D, E11F, G15H, I19J, K23L, ....