Today’s paper

Number and letter series

Ten reasoning questions, each marked as you answer.

  1. Which number replaces the question mark? 79, 83, 89, 97, 101, 103, ?
    Question 1
    Answer and working

    Answer B

    The rule: consecutive prime numbers. The missing term is 107.

  2. Which pair comes next? GX, HU, IR, JO, ?
    Question 2
    Answer and working

    Answer B

    The first letters move forward 1 (G, H, I, J); the second move back 3 (X, U, R, O). Next: KL.

  3. Which number replaces the question mark? 89, 97, 101, 103, 107, 109, ?
    Question 3
    Answer and working

    Answer C

    The rule: consecutive prime numbers. The missing term is 113.

  4. Which pair comes next? EW, FV, GU, HT, ?
    Question 4
    Answer and working

    Answer D

    The first letters move forward 1 (E, F, G, H); the second move back 1 (W, V, U, T). Next: IS.

  5. Which number replaces the question mark? 4, 8, 16, 32, 64, ?
    Question 5
    Answer and working

    Answer A

    The rule: each term is the previous × 2. The missing term is 128.

  6. Which group comes next? EFG, KLM, QRS, ?
    Question 6
    Answer and working

    Answer D

    Inside each group the letters step by 1; each group starts 6 letters after the last (E, K, Q). Next: WXY.

  7. Which number replaces the question mark? 0, 3, 8, 15, 24, 35, ?
    Question 7
    Answer and working

    Answer B

    The rule: the terms are 1², 2², 3² … minus 1. The missing term is 48.

  8. Which group comes next? GIK, KMO, OQS, ?
    Question 8
    Answer and working

    Answer A

    Inside each group the letters step by 2; each group starts 4 letters after the last (G, K, O). Next: SUW.

  9. Which number replaces the question mark? 23, 29, 31, 37, 41, 43, ?
    Question 9
    Answer and working

    Answer B

    The rule: consecutive prime numbers. The missing term is 47.

  10. Which pair comes next? AZ, BX, CV, DT, ?
    Question 10
    Answer and working

    Answer D

    The first letters move forward 1 (A, B, C, D); the second move back 2 (Z, X, V, T). Next: ER.

More reasoning: Coding and decoding, Analogies, Odd one out, Blood relations, Direction sense, Seating in a row.