1. Choose the correct alternative from the given ones that will complete the series NPQ, HJK, BDE, ?

A. RTU B. VXY C. KMN D. WYZ

Answer - Option B
Explanation - N + 2 = P and P + 1 = Q
N - 6 = H
H + 2 = J and J + 1 = K
VH - 6 = B
B + 2 = D and D + 1 = E
B - 6 = V
V + 2 = X and X + 1 = Y
Hence, option B is the correct choice.
2. Choose the correct alternative from the given ones that will complete the series WUY, ZXB, CAE, FDH, ?

A. IKH B. IGK C. JHL D. JGL

Answer - Option B
Explanation - W - 2 = U; U + 4 = Y and Y + 1 = Z
So on, we get, H + 1 = I; I - 2 = G; G + 4 = K
Hence, option B is the correct choice.
3. Choose the correct alternative from the given ones that will complete the series FHK, LNQ, RTW, XZC?

A. DFI B. CEI C. DFJ D. CFJ

Answer - Option A
Explanation - F + 2 = H and H + 3 = K
K + 1 = L
L + 2 = N and N + 3 = Q
Q + 1 = R and so on.
So, C + 1 = D
D + 2 = F and F + 3 = I
Hence, option A is the correct choice.
4. Which of the following options must continue the series? A, B, C, E, H, M, ?

A. U B. T C. V D. W

Answer - Option A
Explanation - Let us replace the letters with their positions in the alphabetical series.
A - 1 B - 2 C - 3 E - 5 H - 8 M - 13
As we can see, the given terms are in Fibonacci series.
2 + 1 = 3 3 + 2 = 5 5 + 3 = 8 8 + 5 = 13 13 + 8 = 21
Therefore, the next letter must be the U, whose position in the alphabetical series is 21. Therefore, option A is the right answer.
5. Which of the following options must continue the series? CEF, HJK, MOP, ?

A. RTQ B. RSU C. RTU D. RST

Answer - Option C
Explanation - CEF - One letter is skipped between C and E. After F, one letter is skipped.
HJK - One letter is skipped between H and J. After K, L is skipped.
MOP - One letter ‘N’ is skipped between M and O.
After P, one letter must be skipped. Therefore, the next term must start with R.
After R, one term must be skipped. Therefore, the next term must be RTU. Hence, option C is the right answer.

1. Which of the following options must continue the series? CE, GJ, OX, ?

A. PF B. OF C. OV D. PE

Answer - Option C
Explanation - CE - one letter ‘D’ is skipped.
The next term starts by skipping 1 letter - F.
GJ - 2 letters I and J are skipped.
After J, 4 letters are skipped - K, L, M, N.
The next term starts with O.
OX - 8 letters are skipped.
Logically, 16 letters must be skipped before the next term.
Therefore, the next term must start with O. Then, 32 terms must be skipped.
Therefore, the next term must be OV. Hence, option C is the right answer.
2. Which of the following options can be a part of the series given below? CDG, BFH, FHN, OCR , ?

A. SDV B. IHQ C. SEY D. PDU

Answer - Option B
Explanation - Let us replace the alphabets with numbers.
CDG - (3, 4, 7)
BFH - (2, 6, 8)
FHN - (6, 8, 14)
OCR - (15, 3, 18)
As we can see, the position of the third letter in the alphabetical series is the sum of the positions of the first 2 letters.
Now, let us evaluate the options. SDV - (19, 4, 22)
IHQ - (9, 8, 17)
SEY - (19, 5, 25)
PDU - (16, 4, 21).
Only IHQ satisfies the condition of the position of the third letter being the sum of the positions of the first 2 letters. Therefore, option B is the right answer.
3. A series is given with one missing term. Choose the correct alternative from the given options that will complete the series. ZD, GK, NR, UY, ?

A. AD B. CG C. CF D. BF

Answer - Option D
Explanation - Z + 4 =D
D + 3 = G; G + 4 = K
K + 3 = N; N + 4 = R
R + 3 = U; U + 4 = Y
Y + 3 = B; B + 4 = F
Hence, option D is the right answer
4. 1024, 520, 268, 142, ? 47.5

A. 84 B. 82 C. 79 D. 88

Answer - Option C
Explanation - 1024 ÷ 2 + 8 = 520
520 ÷ 2 + 8 = 268
268 ÷ 2 + 8 = 142
142 ÷ 2 + 8 = 79
79 ÷ 2 + 8 = 47.5
5. 32, 16.5, 17.5, 27.75, 57.5, ?

A. 136.25 B. 142.25 C. 146.25 D. 156.25

Answer - Option C
Explanation - [latex]32 \times \frac {1}{2} + \frac {1}{2} = 16.5[/latex]
[latex]16.5 \times 1 + 1 = 17.5[/latex]
[latex]17.5 \times \frac {3}{2} + \frac {3}{2} = 27.75[/latex]
[latex]27.75 \times 2 + 2 = 57.5[/latex]
[latex]57.5 \times \frac {5}{2} + \frac {5}{2} = 146.25[/latex]

1. 6, 16, 34, 62, 102, ?

A. 156 B. 132 C. 136 D. 142

Answer - Option A
Explanation - 6 + 2 × 5 = 16
16 + 3 × 6 = 34
34 + 4 × 7 = 62
62 + 5 × 8 = 102
102 + 6 × 9 = 156
2. 100, 101, 102, 101, 96, ?, 66.

A. 97 B. 85 C. 108 D. 64

Answer - Option B
Explanation - [latex] 100 – {(2)}^{2} + 5 = 101 [/latex]
[latex]101 – {(3)}^{2} + 10 = 102[/latex]
[latex]102 – {(4)}^{2} + 15 = 101[/latex]
[latex]101 – {(5)}^{2} + 20 = 96[/latex]
[latex]96 – {(6)}^{2} + 25 = 85[/latex]
[latex]85 – {(7)}^{2} + 30 = 66[/latex]
3. 3, 10, 24, 50, ?, 170.

A. 80 B. 82 C. 120 D. 121

Answer - Option C
Explanation - [latex]{2}^{2} – 1 = 3[/latex]
[latex]32 + 1 = 10[/latex]
[latex]52 – 1 = 24[/latex]
[latex]72 + 1 = 50[/latex]
[latex]112 – 1 = 120[/latex]
[latex]{13}^{2} + 1 = 170[/latex]
4. 32, 35, 64, 71, 104, ?, 152.

A. 110 B. 114 C. 115 D. 125

Answer - Option C
Explanation -
5. 4, 20, 29, 38, 47, 56, ?.

A. 65 B. 64 C. 66 D. 62

Answer - Option A
Explanation - 4 × 4 + 4 = 20
4 × 6 + 5 = 29
4 × 8 + 6 = 38
4 × 10 + 7 = 47
4 × 12 + 8 = 56
4 × 14 + 9 = 65