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Number and letter series

Written by Bilal Siddiqui (Logical Reasoning)

14 MDCAT Logical reasoning questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. Find the next number: 2, 4, 8, 16, ?

    • 1 64
    • 2 32
    • 3 30
    • 4 24
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    Correct answer: 32

    Each number is double the one before it, so the next is 16 x 2 = 32.

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  2. Find the next number: 3, 6, 11, 18, 27, ?

    • 1 38
    • 2 36
    • 3 40
    • 4 45
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    Correct answer: 38

    The differences are 3, 5, 7 and 9, which go up by 2 each time. The next difference is 11, so 27 + 11 = 38.

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  3. Find the next number: 1, 4, 9, 16, 25, ?

    • 1 36
    • 2 34
    • 3 49
    • 4 30
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    Correct answer: 36

    These are the squares of 1, 2, 3, 4 and 5, so the next is 6 squared, which is 36.

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  4. Find the next number: 100, 93, 86, 79, ?

    • 1 72
    • 2 69
    • 3 73
    • 4 71
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    Correct answer: 72

    Each number is 7 less than the one before it, so the next is 79 - 7 = 72.

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  5. Find the next number: 2, 3, 5, 7, 11, 13, ?

    • 1 17
    • 2 15
    • 3 19
    • 4 21
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    Correct answer: 17

    These are the prime numbers in order. The next prime after 13 is 17.

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  6. Find the next letter: A, C, E, G, ?

    • 1 K
    • 2 I
    • 3 H
    • 4 J
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    Correct answer: I

    The letters skip one each time, so after G (skipping H) comes I.

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  7. Find the next letter: Z, X, V, T, ?

    • 1 R
    • 2 S
    • 3 Q
    • 4 P
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    Correct answer: R

    The letters move back two places each time. After T (skipping S) comes R.

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  8. Find the next number: 1, 1, 2, 3, 5, 8, ?

    • 1 15
    • 2 11
    • 3 13
    • 4 12
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    Correct answer: 13

    Each number is the sum of the two before it, so the next is 5 + 8 = 13.

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  9. Find the next pair: AZ, BY, CX, DW, ?

    • 1 EX
    • 2 EV
    • 3 FV
    • 4 EU
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    Correct answer: EV

    The first letter moves forward one place and the second moves back one place each time, so the next pair is EV.

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  10. Find the next number: 5, 10, 20, 40, ?

    • 1 80
    • 2 100
    • 3 60
    • 4 70
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    Correct answer: 80

    Each number is double the one before it, so the next is 80.

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  11. What comes next in the series 3, 6, 12, 24, ...?

    • 1 36
    • 2 30
    • 3 42
    • 4 48
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    Correct answer: 48

    Each term is double the previous term.

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  12. What comes next in the series 2, 5, 10, 17, 26, ...?

    • 1 35
    • 2 36
    • 3 37
    • 4 38
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    Correct answer: 37

    The differences are 3, 5, 7, 9, so the next difference is 11 and the term is 37.

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  13. What comes next in the series A, C, F, J, ...?

    • 1 M
    • 2 N
    • 3 O
    • 4 P
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    Correct answer: O

    The gaps between letters increase by one each time: 2, 3, 4, then 5, so J plus 5 is O.

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  14. What comes next in the series 1, 1, 2, 3, 5, 8, ...?

    • 1 13
    • 2 12
    • 3 11
    • 4 14
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    Correct answer: 13

    Each term is the sum of the two before it.

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