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Number and letter series

10 MDCAT Logical reasoning questions with answers and explanations.

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

    • 1 24
    • 2 32
    • 3 30
    • 4 64
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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 36
    • 2 38
    • 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 30
    • 2 49
    • 3 36
    • 4 34
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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 71
    • 3 73
    • 4 69
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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 15
    • 2 17
    • 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 H
    • 2 J
    • 3 I
    • 4 K
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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 S
    • 2 Q
    • 3 R
    • 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 11
    • 2 12
    • 3 13
    • 4 15
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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 EV
    • 2 EU
    • 3 FV
    • 4 EX
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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 60
    • 2 70
    • 3 80
    • 4 100
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    Correct answer: 80

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

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