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Series & analogies MCQ with Answers

20 questionswith explanationsfor RAS, Patwari, VDO and other Rajasthan exams

Questions

Q1

Find the next term in the series: 2, 5, 14, 41, 122, ?

  1. (1)365
  2. (2)367
  3. (3)364
  4. (4)244

Answer: (1) 365

Explanation

Each term = previous × 3 − 1; 122 × 3 − 1 = 365.

Q2

Find the next term in the series: 0, 7, 26, 63, 124, ?

  1. (1)216
  2. (2)215
  3. (3)217
  4. (4)214

Answer: (2) 215

Explanation

Terms are n³ − 1 for n = 1, 2, 3, …; 6³ − 1 = 215.

Q3

Find the next term in the series: 1, 2, 6, 24, 120, ?

  1. (1)600
  2. (2)720
  3. (3)240
  4. (4)840

Answer: (2) 720

Explanation

Multiply by 2, 3, 4, 5, 6 in turn; 120 × 6 = 720.

Q4

Find the next term in the series: 3, 20, 6, 17, 12, 14, 24, ?

  1. (1)21
  2. (2)12
  3. (3)11
  4. (4)10

Answer: (3) 11

Explanation

Two alternating series: 3, 6, 12, 24 (×2) and 20, 17, 14, 11 (−3); the 8th term belongs to the second, so 11.

Q5

Find the wrong number in the series: 4, 9, 25, 49, 121, 168

  1. (1)9
  2. (2)49
  3. (3)121
  4. (4)168

Answer: (4) 168

Explanation

The terms are squares of consecutive primes 2, 3, 5, 7, 11, 13; the last should be 13² = 169, not 168.

Q6

Find the next term in the series: 7, 9, 12, 17, 24, 35, ?

  1. (1)46
  2. (2)47
  3. (3)50
  4. (4)48

Answer: (4) 48

Explanation

Differences are consecutive primes 2, 3, 5, 7, 11, so next difference is 13: 35 + 13 = 48.

Q7

Find the next term in the series: 120, 99, 80, 63, 48, ?

  1. (1)35
  2. (2)33
  3. (3)36
  4. (4)37

Answer: (1) 35

Explanation

Terms are 11² − 1, 10² − 1, 9² − 1, …; next is 6² − 1 = 35 (differences 21, 19, 17, 15, 13).

Q8

Find the next term in the series: B, E, H, K, N, ?

  1. (1)Q
  2. (2)P
  3. (3)R
  4. (4)S

Answer: (1) Q

Explanation

Each letter moves 3 places forward: N + 3 = Q.

Q9

Find the next term in the series: Z, X, U, Q, L, ?

  1. (1)G
  2. (2)F
  3. (3)E
  4. (4)H

Answer: (2) F

Explanation

Positions drop by 2, 3, 4, 5, 6: Z26, X24, U21, Q17, L12, then 12 − 6 = 6 = F.

Q10

Find the next term in the series: AZ, BY, CX, DW, ?

  1. (1)EU
  2. (2)FV
  3. (3)EV
  4. (4)EW

Answer: (3) EV

Explanation

First letters go forward (A, B, C, D, E) and second letters go backward (Z, Y, X, W, V): EV.

Q11

Find the next term in the series: DKM, FJP, HIS, ?

  1. (1)JHU
  2. (2)JGV
  3. (3)JHV
  4. (4)KHV

Answer: (3) JHV

Explanation

1st letters +2 (D, F, H, J), 2nd letters −1 (K, J, I, H), 3rd letters +3 (M, P, S, V): JHV.

Q12

Find the next term in the series: A1, C3, E5, G7, ?

  1. (1)H8
  2. (2)I8
  3. (3)J9
  4. (4)I9

Answer: (4) I9

Explanation

Alternate letters with their alphabet positions: A1, C3, E5, G7, I9.

Q13

Find the next term in the series: 1B, 4D, 9F, 16H, ?

  1. (1)24J
  2. (2)25I
  3. (3)36J
  4. (4)25J

Answer: (4) 25J

Explanation

Numbers are squares 1, 4, 9, 16, 25; letters skip one: B, D, F, H, J. So 25J.

Q14

Choose the number that completes the analogy: 7 : 343 :: 9 : ?

  1. (1)729
  2. (2)81
  3. (3)727
  4. (4)739

Answer: (1) 729

Explanation

343 = 7³, so the answer is 9³ = 729.

Q15

Choose the number that completes the analogy: 12 : 145 :: 15 : ?

  1. (1)225
  2. (2)226
  3. (3)227
  4. (4)196

Answer: (2) 226

Explanation

145 = 12² + 1, so the answer is 15² + 1 = 226.

Q16

Choose the letter group that completes the analogy: ACE : FHJ :: KMO : ?

  1. (1)PQT
  2. (2)PRT
  3. (3)QRT
  4. (4)PRS

Answer: (2) PRT

Explanation

Each letter moves 5 places forward (A→F, C→H, E→J), so KMO → PRT.

Q17

Thermometer : Temperature :: Seismograph : ?

  1. (1)Atmospheric pressure
  2. (2)Relative humidity
  3. (3)Earthquake waves
  4. (4)Wind speed

Answer: (3) Earthquake waves

Explanation

A thermometer measures temperature; a seismograph records earthquake (seismic) waves.

Q18

Ghoomar : Rajasthan :: Garba : ?

  1. (1)Maharashtra
  2. (2)Punjab
  3. (3)Gujarat
  4. (4)Assam

Answer: (3) Gujarat

Explanation

Ghoomar is a folk dance of Rajasthan; Garba is a folk dance of Gujarat.

Q19

Find the odd one out: 27, 125, 144, 343

  1. (1)27
  2. (2)125
  3. (3)343
  4. (4)144

Answer: (4) 144

Explanation

27, 125 and 343 are cubes of odd numbers (3³, 5³, 7³); 144 is not a cube.

Q20

Find the odd one out: BDF, HJL, MOQ, RTW

  1. (1)BDF
  2. (2)HJL
  3. (3)MOQ
  4. (4)RTW

Answer: (4) RTW

Explanation

BDF, HJL and MOQ have gaps of +2, +2; RTW has +2, +3.