Today’s paper

Analogies

Ten reasoning questions, each marked as you answer.

  1. DFH : GIK :: SUW : ?
    Question 1
    Answer and working

    Answer A

    Each letter of DFH moves 3 forward to give GIK. Doing the same to SUW gives VXZ.

  2. 9 : 720 :: 7 : ?
    Question 2
    Answer and working

    Answer D

    720 = 9³ − 9, the rule n³ − n. For 7: 7³ − 7 = 336.

  3. DEF : EFG :: PQR : ?
    Question 3
    Answer and working

    Answer D

    Each letter of DEF moves 1 forward to give EFG. Doing the same to PQR gives QRS.

  4. 3 : 9 :: 5 : ?
    Question 4
    Answer and working

    Answer A

    9 = 3², the rule n². For 5: 5² = 25.

  5. 5 : 13 :: 10 : ?
    Question 5
    Answer and working

    Answer D

    13 = 2 × 5 + 3, the rule 2n + 3. For 10: 2 × 10 + 3 = 23.

  6. EFG : FGH :: LMN : ?
    Question 6
    Answer and working

    Answer D

    Each letter of EFG moves 1 forward to give FGH. Doing the same to LMN gives MNO.

  7. 4 : 64 :: 3 : ?
    Question 7
    Answer and working

    Answer D

    64 = 4³, the rule n³. For 3: 3³ = 27.

  8. 7 : 57 :: 4 : ?
    Question 8
    Answer and working

    Answer D

    57 = 7² + 7 + 1, the rule n² + n + 1. For 4: 4² + 4 + 1 = 21.

  9. 3 : 9 :: 4 : ?
    Question 9
    Answer and working

    Answer A

    9 = 3², the rule n². For 4: 4² = 16.

  10. 7 : 17 :: 8 : ?
    Question 10
    Answer and working

    Answer C

    17 = 2 × 7 + 3, the rule 2n + 3. For 8: 2 × 8 + 3 = 19.

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