IUC AcademyHome3441. Find the odd one out: 81, 169, 121, 80
- A. 169
- B. 81
- C. 80
- D. 121
Answer: 80
Explanation: 81, 169, 121 are all perfect squares, whereas 80 is not.
Explanation: 81, 169, 121 are all perfect squares, whereas 80 is not.
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3442. Find the odd one out: 39, 169, 117, 38
- A. 117
- B. 169
- C. 39
- D. 38
Answer: 38
Explanation: 39, 169, 117 are all multiples of 13, whereas 38 is not.
Explanation: 39, 169, 117 are all multiples of 13, whereas 38 is not.
3443. Find the odd one out: 63, 14, 49, 64
- A. 14
- B. 63
- C. 64
- D. 49
Answer: 64
Explanation: 63, 14, 49 are all multiples of 7, whereas 64 is not.
Explanation: 63, 14, 49 are all multiples of 7, whereas 64 is not.
3444. Find the odd one out: 125, 27, 8, 127
- A. 8
- B. 127
- C. 27
- D. 125
Answer: 127
Explanation: 125, 27, 8 are all perfect cubes, whereas 127 is not.
Explanation: 125, 27, 8 are all perfect cubes, whereas 127 is not.
3445. Find the odd one out: 25, 36, 16, 24
- A. 24
- B. 36
- C. 16
- D. 25
Answer: 24
Explanation: 25, 36, 16 are all perfect squares, whereas 24 is not.
Explanation: 25, 36, 16 are all perfect squares, whereas 24 is not.
3446. Find the odd one out: 139, 11, 17, 138
- A. 139
- B. 11
- C. 138
- D. 17
Answer: 138
Explanation: 139, 11, 17 are all prime numbers, whereas 138 is not.
Explanation: 139, 11, 17 are all prime numbers, whereas 138 is not.
3447. Find the odd one out: 195, 65, 169, 197
- A. 169
- B. 195
- C. 65
- D. 197
Answer: 197
Explanation: 195, 65, 169 are all multiples of 13, whereas 197 is not.
Explanation: 195, 65, 169 are all multiples of 13, whereas 197 is not.
3448. Find the odd one out: 105, 56, 161, 103
- A. 105
- B. 161
- C. 56
- D. 103
Answer: 103
Explanation: 105, 56, 161 are all multiples of 7, whereas 103 is not.
Explanation: 105, 56, 161 are all multiples of 7, whereas 103 is not.
3449. Find the odd one out: 8, 125, 64, 10
- A. 64
- B. 10
- C. 8
- D. 125
Answer: 10
Explanation: 8, 125, 64 are all perfect cubes, whereas 10 is not.
Explanation: 8, 125, 64 are all perfect cubes, whereas 10 is not.
3450. Find the odd one out: 169, 81, 4, 167
- A. 81
- B. 167
- C. 4
- D. 169
Answer: 167
Explanation: 169, 81, 4 are all perfect squares, whereas 167 is not.
Explanation: 169, 81, 4 are all perfect squares, whereas 167 is not.
3451. Select the term that completes the analogy: COACH : EQCEJ :: SEMAPHORE : ?
- A. UGOCRJQTG
- B. TFNBQIPSF
- C. VHPDSKRUH
- D. QCKYNFMPC
Answer: UGOCRJQTG
Explanation: Every letter of the first word is moved 2 place(s) forward in the alphabet; applying the same to 'SEMAPHORE' gives 'UGOCRJQTG'.
Explanation: Every letter of the first word is moved 2 place(s) forward in the alphabet; applying the same to 'SEMAPHORE' gives 'UGOCRJQTG'.
3452. Select the number that completes the analogy: 14 : 238 :: 10 : ?
- A. 128
- B. 130
- C. 150
- D. 110
Answer: 130
Explanation: The relation is x -> 3n + n^2. For 14: 238. Hence for 10: 130.
Explanation: The relation is x -> 3n + n^2. For 14: 238. Hence for 10: 130.
3453. Select the number that completes the analogy: 14 : 2730 :: 6 : ?
- A. 207
- B. 211
- C. 210
- D. 224
Answer: 210
Explanation: The relation is x -> n^3 - n. For 14: 2730. Hence for 6: 210.
Explanation: The relation is x -> n^3 - n. For 14: 2730. Hence for 6: 210.
3454. Select the number that completes the analogy: 5 : 35 :: 3 : ?
- A. 18
- B. 15
- C. 9
- D. 10
Answer: 15
Explanation: The relation is x -> n^2 + 2n. For 5: 35. Hence for 3: 15.
Explanation: The relation is x -> n^2 + 2n. For 5: 35. Hence for 3: 15.
3455. Select the term that completes the analogy: POINTSMAN : UTNSYXRFS :: CONSTABLE : ?
- A. HTSXYFGQJ
- B. XJINOVWGZ
- C. GSRWXEFPI
- D. IUTYZGHRK
Answer: HTSXYFGQJ
Explanation: Every letter of the first word is moved 5 place(s) forward in the alphabet; applying the same to 'CONSTABLE' gives 'HTSXYFGQJ'.
Explanation: Every letter of the first word is moved 5 place(s) forward in the alphabet; applying the same to 'CONSTABLE' gives 'HTSXYFGQJ'.
3456. Select the number that completes the analogy: 15 : 450 :: 14 : ?
- A. 420
- B. 391
- C. 390
- D. 392
Answer: 392
Explanation: The relation is x -> 2n^2. For 15: 450. Hence for 14: 392.
Explanation: The relation is x -> 2n^2. For 15: 450. Hence for 14: 392.
3457. Select the number that completes the analogy: 8 : 513 :: 6 : ?
- A. 214
- B. 217
- C. 225
- D. 219
Answer: 217
Explanation: The relation is x -> n^3 + 1. For 8: 513. Hence for 6: 217.
Explanation: The relation is x -> n^3 + 1. For 8: 513. Hence for 6: 217.
3458. Select the number that completes the analogy: 4 : 21 :: 11 : ?
- A. 131
- B. 144
- C. 134
- D. 133
Answer: 133
Explanation: The relation is x -> n^2 + n + 1. For 4: 21. Hence for 11: 133.
Explanation: The relation is x -> n^2 + n + 1. For 4: 21. Hence for 11: 133.
3459. Select the term that completes the analogy: BRIDGE : GWNILJ :: INQUIRY : ?
- A. NSVZNWD
- B. OTWAOXE
- C. DILPDMT
- D. MRUYMVC
Answer: NSVZNWD
Explanation: Every letter of the first word is moved 5 place(s) forward in the alphabet; applying the same to 'INQUIRY' gives 'NSVZNWD'.
Explanation: Every letter of the first word is moved 5 place(s) forward in the alphabet; applying the same to 'INQUIRY' gives 'NSVZNWD'.
3460. Select the number that completes the analogy: 19 : 380 :: 21 : ?
- A. 483
- B. 459
- C. 462
- D. 460
Answer: 462
Explanation: The relation is x -> n(n+1). For 19: 380. Hence for 21: 462.
Explanation: The relation is x -> n(n+1). For 19: 380. Hence for 21: 462.
3461. Select the number that completes the analogy: 7 : 343 :: 12 : ?
- A. 1730
- B. 1729
- C. 1728
- D. 1721
Answer: 1728
Explanation: The relation is x -> n^3. For 7: 343. Hence for 12: 1728.
Explanation: The relation is x -> n^3. For 7: 343. Hence for 12: 1728.
3462. Select the number that completes the analogy: 9 : 80 :: 7 : ?
- A. 51
- B. 45
- C. 62
- D. 48
Answer: 48
Explanation: The relation is x -> n^2 - 1. For 9: 80. Hence for 7: 48.
Explanation: The relation is x -> n^2 - 1. For 9: 80. Hence for 7: 48.
3463. Select the term that completes the analogy: TRACK : XVEGO :: POINTSMAN : ?
- A. LKEJPOIWJ
- B. TSMRXWQER
- C. SRLQWVPDQ
- D. UTNSYXRFS
Answer: TSMRXWQER
Explanation: Every letter of the first word is moved 4 place(s) forward in the alphabet; applying the same to 'POINTSMAN' gives 'TSMRXWQER'.
Explanation: Every letter of the first word is moved 4 place(s) forward in the alphabet; applying the same to 'POINTSMAN' gives 'TSMRXWQER'.
3464. Select the number that completes the analogy: 19 : 418 :: 10 : ?
- A. 130
- B. 127
- C. 133
- D. 111
Answer: 130
Explanation: The relation is x -> 3n + n^2. For 19: 418. Hence for 10: 130.
Explanation: The relation is x -> 3n + n^2. For 19: 418. Hence for 10: 130.
3465. Select the number that completes the analogy: 11 : 1320 :: 6 : ?
- A. 210
- B. 204
- C. 199
- D. 211
Answer: 210
Explanation: The relation is x -> n^3 - n. For 11: 1320. Hence for 6: 210.
Explanation: The relation is x -> n^3 - n. For 11: 1320. Hence for 6: 210.
3466. Select the number that completes the analogy: 8 : 80 :: 9 : ?
- A. 102
- B. 99
- C. 108
- D. 98
Answer: 99
Explanation: The relation is x -> n^2 + 2n. For 8: 80. Hence for 9: 99.
Explanation: The relation is x -> n^2 + 2n. For 8: 80. Hence for 9: 99.
3467. Select the term that completes the analogy: TRACK : YWFHP :: STATION : ?
- A. WXEXMSR
- B. YZGZOUT
- C. XYFYNTS
- D. NOVODJI
Answer: XYFYNTS
Explanation: Every letter of the first word is moved 5 place(s) forward in the alphabet; applying the same to 'STATION' gives 'XYFYNTS'.
Explanation: Every letter of the first word is moved 5 place(s) forward in the alphabet; applying the same to 'STATION' gives 'XYFYNTS'.
3468. Select the number that completes the analogy: 4 : 32 :: 10 : ?
- A. 180
- B. 200
- C. 198
- D. 202
Answer: 200
Explanation: The relation is x -> 2n^2. For 4: 32. Hence for 10: 200.
Explanation: The relation is x -> 2n^2. For 4: 32. Hence for 10: 200.
3469. Select the number that completes the analogy: 3 : 28 :: 14 : ?
- A. 2745
- B. 2748
- C. 2742
- D. 2746
Answer: 2745
Explanation: The relation is x -> n^3 + 1. For 3: 28. Hence for 14: 2745.
Explanation: The relation is x -> n^3 + 1. For 3: 28. Hence for 14: 2745.
3470. Select the number that completes the analogy: 6 : 43 :: 9 : ?
- A. 91
- B. 92
- C. 85
- D. 93
Answer: 91
Explanation: The relation is x -> n^2 + n + 1. For 6: 43. Hence for 9: 91.
Explanation: The relation is x -> n^2 + n + 1. For 6: 43. Hence for 9: 91.
3471. Select the term that completes the analogy: INQUIRY : JORVJSZ :: CUSTODY : ?
- A. DVTUPEZ
- B. EWUVQFA
- C. BTRSNCX
- D. FXVWRGB
Answer: DVTUPEZ
Explanation: Every letter of the first word is moved 1 place(s) forward in the alphabet; applying the same to 'CUSTODY' gives 'DVTUPEZ'.
Explanation: Every letter of the first word is moved 1 place(s) forward in the alphabet; applying the same to 'CUSTODY' gives 'DVTUPEZ'.
3472. Select the number that completes the analogy: 11 : 132 :: 5 : ?
- A. 30
- B. 33
- C. 28
- D. 19
Answer: 30
Explanation: The relation is x -> n(n+1). For 11: 132. Hence for 5: 30.
Explanation: The relation is x -> n(n+1). For 11: 132. Hence for 5: 30.
3473. Select the number that completes the analogy: 12 : 1728 :: 11 : ?
- A. 1331
- B. 1319
- C. 1332
- D. 1342
Answer: 1331
Explanation: The relation is x -> n^3. For 12: 1728. Hence for 11: 1331.
Explanation: The relation is x -> n^3. For 12: 1728. Hence for 11: 1331.
3474. Select the number that completes the analogy: 3 : 8 :: 7 : ?
- A. 48
- B. 34
- C. 55
- D. 46
Answer: 48
Explanation: The relation is x -> n^2 - 1. For 3: 8. Hence for 7: 48.
Explanation: The relation is x -> n^2 - 1. For 3: 8. Hence for 7: 48.
3475. Which letter comes next in the series: E, G, J, N, S, ?
- A. Z
- B. B
- C. Y
- D. W
Answer: Y
Explanation: Position gaps increase by 1 each time (2, 3, 4, ...). Following the pattern, the next letter is Y.
Explanation: Position gaps increase by 1 each time (2, 3, 4, ...). Following the pattern, the next letter is Y.
3476. Which letter comes next in the series: E, P, G, N, I, L, ?
- A. K
- B. N
- C. J
- D. L
Answer: K
Explanation: Alternate letters form two series: one moving forward by 2 (E, G, I, ...) and the other backward by 2. The next letter continues the first series: K.
Explanation: Alternate letters form two series: one moving forward by 2 (E, G, I, ...) and the other backward by 2. The next letter continues the first series: K.
3477. Which letter comes next in the series: F, G, I, L, P, ?
- A. X
- B. S
- C. U
- D. W
Answer: U
Explanation: Position gaps increase by 1 each time (1, 2, 3, ...). Following the pattern, the next letter is U.
Explanation: Position gaps increase by 1 each time (1, 2, 3, ...). Following the pattern, the next letter is U.
3478. Which letter comes next in the series: A, K, B, J, C, I, ?
- A. F
- B. C
- C. E
- D. D
Answer: D
Explanation: Alternate letters form two series: one moving forward by 1 (A, B, C, ...) and the other backward by 1. The next letter continues the first series: D.
Explanation: Alternate letters form two series: one moving forward by 1 (A, B, C, ...) and the other backward by 1. The next letter continues the first series: D.
3479. Which letter comes next in the series: B, D, G, K, P, ?
- A. T
- B. U
- C. V
- D. Y
Answer: V
Explanation: Position gaps increase by 1 each time (2, 3, 4, ...). Following the pattern, the next letter is V.
Explanation: Position gaps increase by 1 each time (2, 3, 4, ...). Following the pattern, the next letter is V.
3480. Which letter comes next in the series: F, L, H, I, J, F, ?
- A. J
- B. L
- C. O
- D. K
Answer: L
Explanation: Alternate letters form two series: one moving forward by 2 (F, H, J, ...) and the other backward by 3. The next letter continues the first series: L.
Explanation: Alternate letters form two series: one moving forward by 2 (F, H, J, ...) and the other backward by 3. The next letter continues the first series: L.
3481. Which letter comes next in the series: B, E, I, N, T, ?
- A. A
- B. D
- C. Z
- D. Y
Answer: A
Explanation: Position gaps increase by 1 each time (3, 4, 5, ...). Following the pattern, the next letter is A.
Explanation: Position gaps increase by 1 each time (3, 4, 5, ...). Following the pattern, the next letter is A.
3482. Find the next term: DW, EV, FU, GT, ?
- A. HT
- B. HS
- C. GS
- D. IR
Answer: HS
Explanation: The first letter moves one step forward and the second one step backward in each term, so the next term is HS.
Explanation: The first letter moves one step forward and the second one step backward in each term, so the next term is HS.
3483. Which letter comes next in the series: F, T, I, R, L, P, ?
- A. O
- B. P
- C. M
- D. R
Answer: O
Explanation: Alternate letters form two series: one moving forward by 3 (F, I, L, ...) and the other backward by 2. The next letter continues the first series: O.
Explanation: Alternate letters form two series: one moving forward by 3 (F, I, L, ...) and the other backward by 2. The next letter continues the first series: O.
3484. Which letter comes next in the series: A, B, D, G, K, ?
- A. P
- B. N
- C. S
- D. R
Answer: P
Explanation: Position gaps increase by 1 each time (1, 2, 3, ...). Following the pattern, the next letter is P.
Explanation: Position gaps increase by 1 each time (1, 2, 3, ...). Following the pattern, the next letter is P.
3485. Which letter comes next in the series: E, M, H, J, K, G, ?
- A. P
- B. N
- C. Q
- D. M
Answer: N
Explanation: Alternate letters form two series: one moving forward by 3 (E, H, K, ...) and the other backward by 3. The next letter continues the first series: N.
Explanation: Alternate letters form two series: one moving forward by 3 (E, H, K, ...) and the other backward by 3. The next letter continues the first series: N.
3486. Which letter comes next in the series: C, D, F, I, M, ?
- A. Q
- B. R
- C. O
- D. U
Answer: R
Explanation: Position gaps increase by 1 each time (1, 2, 3, ...). Following the pattern, the next letter is R.
Explanation: Position gaps increase by 1 each time (1, 2, 3, ...). Following the pattern, the next letter is R.
3487. Find the next term: CX, DW, EV, FU, ?
- A. HS
- B. FT
- C. GU
- D. GT
Answer: GT
Explanation: The first letter moves one step forward and the second one step backward in each term, so the next term is GT.
Explanation: The first letter moves one step forward and the second one step backward in each term, so the next term is GT.
3488. Which letter comes next in the series: E, P, F, N, G, L, ?
- A. J
- B. F
- C. H
- D. K
Answer: H
Explanation: Alternate letters form two series: one moving forward by 1 (E, F, G, ...) and the other backward by 2. The next letter continues the first series: H.
Explanation: Alternate letters form two series: one moving forward by 1 (E, F, G, ...) and the other backward by 2. The next letter continues the first series: H.
3489. Which letter comes next in the series: C, F, J, O, U, ?
- A. E
- B. B
- C. C
- D. Y
Answer: B
Explanation: Position gaps increase by 1 each time (3, 4, 5, ...). Following the pattern, the next letter is B.
Explanation: Position gaps increase by 1 each time (3, 4, 5, ...). Following the pattern, the next letter is B.
3490. Find the next term: AZ, BY, CX, DW, ?
- A. DV
- B. EW
- C. FU
- D. EV
Answer: EV
Explanation: The first letter moves one step forward and the second one step backward in each term, so the next term is EV.
Explanation: The first letter moves one step forward and the second one step backward in each term, so the next term is EV.
3491. Which letter comes next in the series: A, O, B, L, C, I, ?
- A. D
- B. C
- C. F
- D. B
Answer: D
Explanation: Alternate letters form two series: one moving forward by 1 (A, B, C, ...) and the other backward by 3. The next letter continues the first series: D.
Explanation: Alternate letters form two series: one moving forward by 1 (A, B, C, ...) and the other backward by 3. The next letter continues the first series: D.
3492. Find the next term: BY, CX, DW, EV, ?
- A. FV
- B. GT
- C. FU
- D. EU
Answer: FU
Explanation: The first letter moves one step forward and the second one step backward in each term, so the next term is FU.
Explanation: The first letter moves one step forward and the second one step backward in each term, so the next term is FU.
3493. Which letter comes next in the series: E, U, H, R, K, O, ?
- A. Q
- B. M
- C. P
- D. N
Answer: N
Explanation: Alternate letters form two series: one moving forward by 3 (E, H, K, ...) and the other backward by 3. The next letter continues the first series: N.
Explanation: Alternate letters form two series: one moving forward by 3 (E, H, K, ...) and the other backward by 3. The next letter continues the first series: N.
3494. Which letter comes next in the series: G, H, J, M, Q, ?
- A. V
- B. Y
- C. W
- D. S
Answer: V
Explanation: Position gaps increase by 1 each time (1, 2, 3, ...). Following the pattern, the next letter is V.
Explanation: Position gaps increase by 1 each time (1, 2, 3, ...). Following the pattern, the next letter is V.
3495. Find the missing term of the series: 24, 60, 120, 210, ?
- A. 336
- B. 332
- C. 343
- D. 331
Answer: 336
Explanation: The terms are n^3 - n for n = 3, 4, ...; the next is 7^3 - 7 = 336.
Explanation: The terms are n^3 - n for n = 3, 4, ...; the next is 7^3 - 7 = 336.
3496. Find the missing term of the series: 12, 35, 16, 29, 20, 23, 24, ?
- A. 21
- B. 17
- C. 18
- D. 14
Answer: 17
Explanation: Two interleaved series: odd places rise by 4 (12, 16, ...), even places fall by 6 (35, 29, ...). The missing even-place term is 17.
Explanation: Two interleaved series: odd places rise by 4 (12, 16, ...), even places fall by 6 (35, 29, ...). The missing even-place term is 17.
3497. Find the missing term of the series: 7, 16, 27, 40, 55, ?
- A. 69
- B. 60
- C. 72
- D. 75
Answer: 72
Explanation: The terms are n^2 - 9 for n = 4, 5, ...; the next term is 9^2 - 9 = 72.
Explanation: The terms are n^2 - 9 for n = 4, 5, ...; the next term is 9^2 - 9 = 72.
3498. Find the missing term of the series: 2, 13, 57, 233, 937, ?
- A. 3753
- B. 3746
- C. 3750
- D. 3757
Answer: 3753
Explanation: Each term = previous term x 4 + 5, so the next term is 937 x 4 + 5 = 3753.
Explanation: Each term = previous term x 4 + 5, so the next term is 937 x 4 + 5 = 3753.
3499. Find the missing term of the series: 26, 27, 30, 35, 42, 51, ?
- A. 50
- B. 62
- C. 57
- D. 74
Answer: 62
Explanation: The differences go 1, 3, 5, ... increasing by 2 each time, so the missing term is 51 + 11 = 62.
Explanation: The differences go 1, 3, 5, ... increasing by 2 each time, so the missing term is 51 + 11 = 62.
3500. Find the missing term of the series: 7, 10, 15, 22, 33, 46, ?
- A. 66
- B. 75
- C. 58
- D. 63
Answer: 63
Explanation: Successive primes (3, 5, 7, 11, 13, 17) are added in turn; the missing term is 46 + 17 = 63.
Explanation: Successive primes (3, 5, 7, 11, 13, 17) are added in turn; the missing term is 46 + 17 = 63.
3501. Find the missing term of the series: 130, 222, 350, 520, ?
- A. 730
- B. 737
- C. 738
- D. 739
Answer: 738
Explanation: The terms are n^3 + n for n = 5, 6, ...; the next is 9^3 + 9 = 738.
Explanation: The terms are n^3 + n for n = 5, 6, ...; the next is 9^3 + 9 = 738.
3502. Find the missing term of the series: 8, 45, 13, 39, 18, 33, 23, ?
- A. 37
- B. 33
- C. 27
- D. 34
Answer: 27
Explanation: Two interleaved series: odd places rise by 5 (8, 13, ...), even places fall by 6 (45, 39, ...). The missing even-place term is 27.
Explanation: Two interleaved series: odd places rise by 5 (8, 13, ...), even places fall by 6 (45, 39, ...). The missing even-place term is 27.
3503. Find the missing term of the series: 45, 60, 77, 96, 117, ?
- A. 145
- B. 139
- C. 140
- D. 141
Answer: 140
Explanation: The terms are n^2 - 4 for n = 7, 8, ...; the next term is 12^2 - 4 = 140.
Explanation: The terms are n^2 - 4 for n = 7, 8, ...; the next term is 12^2 - 4 = 140.
3504. Find the missing term of the series: 4, 15, 48, 147, 444, ?
- A. 1335
- B. 1327
- C. 1342
- D. 1333
Answer: 1335
Explanation: Each term = previous term x 3 + 3, so the next term is 444 x 3 + 3 = 1335.
Explanation: Each term = previous term x 3 + 3, so the next term is 444 x 3 + 3 = 1335.
3505. Find the missing term of the series: 5, 9, 17, 29, 45, 65, ?
- A. 79
- B. 101
- C. 95
- D. 89
Answer: 89
Explanation: The differences go 4, 8, 12, ... increasing by 4 each time, so the missing term is 65 + 24 = 89.
Explanation: The differences go 4, 8, 12, ... increasing by 4 each time, so the missing term is 65 + 24 = 89.
3506. Find the missing term of the series: 2, 5, 10, 17, 28, 41, ?
- A. 70
- B. 50
- C. 60
- D. 58
Answer: 58
Explanation: Successive primes (3, 5, 7, 11, 13, 17) are added in turn; the missing term is 41 + 17 = 58.
Explanation: Successive primes (3, 5, 7, 11, 13, 17) are added in turn; the missing term is 41 + 17 = 58.
3507. Find the missing term of the series: 5, 15, 60, 300, 1800, ?
- A. 12612
- B. 12600
- C. 12603
- D. 12595
Answer: 12600
Explanation: Each term is the previous term multiplied by 3, 4, 5, ... in turn; the missing term is 1800 x 7 = 12600.
Explanation: Each term is the previous term multiplied by 3, 4, 5, ... in turn; the missing term is 1800 x 7 = 12600.
3508. Find the missing term of the series: 68, 130, 222, 350, ?
- A. 519
- B. 518
- C. 520
- D. 527
Answer: 520
Explanation: The terms are n^3 + n for n = 4, 5, ...; the next is 8^3 + 8 = 520.
Explanation: The terms are n^3 + n for n = 4, 5, ...; the next is 8^3 + 8 = 520.
3509. Find the missing term of the series: 20, 43, 24, 41, 28, 39, 32, ?
- A. 37
- B. 36
- C. 31
- D. 41
Answer: 37
Explanation: Two interleaved series: odd places rise by 4 (20, 24, ...), even places fall by 2 (43, 41, ...). The missing even-place term is 37.
Explanation: Two interleaved series: odd places rise by 4 (20, 24, ...), even places fall by 2 (43, 41, ...). The missing even-place term is 37.
3510. Find the missing term of the series: 27, 38, 51, 66, 83, ?
- A. 110
- B. 102
- C. 90
- D. 94
Answer: 102
Explanation: The terms are n^2 + 2 for n = 5, 6, ...; the next term is 10^2 + 2 = 102.
Explanation: The terms are n^2 + 2 for n = 5, 6, ...; the next term is 10^2 + 2 = 102.
3511. Find the missing term of the series: 2, 9, 30, 93, 282, ?
- A. 849
- B. 854
- C. 857
- D. 837
Answer: 849
Explanation: Each term = previous term x 3 + 3, so the next term is 282 x 3 + 3 = 849.
Explanation: Each term = previous term x 3 + 3, so the next term is 282 x 3 + 3 = 849.
3512. Find the missing term of the series: 11, 13, 18, 26, 37, 51, ?
- A. 68
- B. 70
- C. 73
- D. 76
Answer: 68
Explanation: The differences go 2, 5, 8, ... increasing by 3 each time, so the missing term is 51 + 17 = 68.
Explanation: The differences go 2, 5, 8, ... increasing by 3 each time, so the missing term is 51 + 17 = 68.
3513. Find the missing term of the series: 1, 3, 6, 11, 18, 29, ?
- A. 54
- B. 52
- C. 42
- D. 48
Answer: 42
Explanation: Successive primes (2, 3, 5, 7, 11, 13) are added in turn; the missing term is 29 + 13 = 42.
Explanation: Successive primes (2, 3, 5, 7, 11, 13) are added in turn; the missing term is 29 + 13 = 42.
3514. Find the missing term of the series: 2, 6, 24, 120, 720, ?
- A. 5032
- B. 5044
- C. 5042
- D. 5040
Answer: 5040
Explanation: Each term is the previous term multiplied by 3, 4, 5, ... in turn; the missing term is 720 x 7 = 5040.
Explanation: Each term is the previous term multiplied by 3, 4, 5, ... in turn; the missing term is 720 x 7 = 5040.
3515. Find the missing term of the series: 6, 24, 60, 120, ?
- A. 210
- B. 203
- C. 198
- D. 209
Answer: 210
Explanation: The terms are n^3 - n for n = 2, 3, ...; the next is 6^3 - 6 = 210.
Explanation: The terms are n^3 - n for n = 2, 3, ...; the next is 6^3 - 6 = 210.
3516. Find the missing term of the series: 7, 41, 11, 38, 15, 35, 19, ?
- A. 37
- B. 32
- C. 26
- D. 38
Answer: 32
Explanation: Two interleaved series: odd places rise by 4 (7, 11, ...), even places fall by 3 (41, 38, ...). The missing even-place term is 32.
Explanation: Two interleaved series: odd places rise by 4 (7, 11, ...), even places fall by 3 (41, 38, ...). The missing even-place term is 32.
3517. Find the missing term of the series: 30, 41, 54, 69, 86, ?
- A. 105
- B. 115
- C. 106
- D. 100
Answer: 105
Explanation: The terms are n^2 + 5 for n = 5, 6, ...; the next term is 10^2 + 5 = 105.
Explanation: The terms are n^2 + 5 for n = 5, 6, ...; the next term is 10^2 + 5 = 105.
3518. Find the missing term of the series: 4, 11, 25, 53, 109, ?
- A. 219
- B. 221
- C. 218
- D. 215
Answer: 221
Explanation: Each term = previous term x 2 + 3, so the next term is 109 x 2 + 3 = 221.
Explanation: Each term = previous term x 2 + 3, so the next term is 109 x 2 + 3 = 221.
3519. Find the missing term of the series: 15, 17, 21, 27, 35, 45, ?
- A. 57
- B. 56
- C. 49
- D. 61
Answer: 57
Explanation: The differences go 2, 4, 6, ... increasing by 2 each time, so the missing term is 45 + 12 = 57.
Explanation: The differences go 2, 4, 6, ... increasing by 2 each time, so the missing term is 45 + 12 = 57.
3520. Statements: I. No Ropes are Chains. II. All Chains are Cables.Conclusions: I. Some Ropes are Cables. II. No Chains are Ropes.Which of the following is correct?
- A. Neither conclusion I nor II follows
- B. Only conclusion II follows
- C. Only conclusion I follows
- D. Both conclusions I and II follow
Answer: Only conclusion II follows
Explanation: Drawing the Venn diagram for the premises: conclusion I (Some Ropes are Cables) is not necessarily true, and conclusion II (No Chains are Ropes) is definitely true. Hence: only conclusion II follows.
Explanation: Drawing the Venn diagram for the premises: conclusion I (Some Ropes are Cables) is not necessarily true, and conclusion II (No Chains are Ropes) is definitely true. Hence: only conclusion II follows.