276.A number is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the blank spaces- 1, 4, 27, 16, ________, 36, 343#
- A121
- B125
- C244
- D81
All 74 Series questions the Punjab PSC asked between 2015 and 2026, each with a worked answer and the exam it came from. First 10 free to read.
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Find the next number in the series
The terms alternate between cubes and squares of consecutive numbers. > 13, 22, 33, 42, 53, 62, 73 > Missing term = 53 = 125 So (b).
The differences between the terms are 0, 3, 8, 15. These are 1² − 1, 2² − 1, 3² − 1, 4² − 1. So the next difference is 5² − 1 = 24. > 2 → 2 (+0) → 5 (+3) → 13 (+8) → 28 (+15) > 28 + 24 = 52 So the missing term is 52.
The series adds and multiplies by turns, with a counter that grows: +1, ×1, +2, ×2, +3, ×3, +4, ×4, +5. > 2 + 1 = 3, 3 × 1 = 3, 3 + 2 = 5, 5 × 2 = 10, 10 + 3 = 13 > 13 × 3 = 39, 39 + 4 = 43, 43 × 4 = 172, 172 + 5 = 177 The missing term is 39.
Each new term is the current number written in front of the previous term: 2 → 25, 3 → 325, 4 → 4325. > 5 = 5 followed by 4325 = 54325
Read the matrix as four rows of three: (3, 8, 10), (2, ?, 1), (6, 56, 90), (2, 20, 0). Each number in the third row is n × (n − 1) of the number above it in the first row. Each number in the fourth row is n × (n − 1) of the number in the second row. > 3×2 = 6, 8×7 = 56, 10×9 = 90 > 2×1 = 2, ? × (? − 1) = 20 → ? = 5, 1×0 = 0 So the missing number is 5.
Read the 16 entries as a 4 × 4 table. Every complete row adds up to the same total. > 1 + 3 + 2 + 9 = 15; 2 + 3 + 8 + 2 = 15; 8 + 2 + 2 + 3 = 15 > p + 7 + 3 + 1 = 15 → p = 4 So (b). (Reading column-wise gives the same. There 3 + 7 + 3 + 2, 2 + 3 + 8 + 2 and 9 + 1 + 2 + 3 all give 15. That leaves 1 + p + 2 + 8 = 15.)
Each term is one less than a perfect cube: 1³ − 1 = 0, 2³ − 1 = 7, 3³ − 1 = 26, … 9³ − 1 = 728. > Next term = 10³ − 1 = 999 So (d).
Multiply each term by a rising number, then add one less than that multiplier. > 3 × 2 + 1 = 7 > 7 × 3 + 2 = 23 > 23 × 4 + 3 = 95 > 95 × 5 + 4 = 479 So the next term is 479.
Each term is a cube minus 1. > 2³ − 1 = 7, 3³ − 1 = 26, 4³ − 1 = 63, 5³ − 1 = 124, 6³ − 1 = 215, 7³ − 1 = 342 > Next: 8³ − 1 = 512 − 1 = 511 The next number is 511.
Each term is four times the previous term minus 1. > 2 × 4 − 1 = 7, 7 × 4 − 1 = 27, 27 × 4 − 1 = 107, 107 × 4 − 1 = 427 > 427 × 4 − 1 = 1707 So (b).
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