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Series — Questions and Answers

Non-verbal figure series present a sequence of shapes that change by a fixed rule — a rotation, an added element, a shading flip — and ask what comes next. Even without seeing the figures, the underlying arithmetic is what is really being tested: how far a shape has rotated after n steps, or how many elements it carries at a given position.

10 solved questionsNon Verbal ReasoningFree · no signup

Series— Concepts, Formulas & Shortcuts

  • A shape rotating r degrees per step returns to its start after 360/r steps.
  • 270° clockwise is the same position as 90° anticlockwise.
  • Alternating shading follows odd and even positions: odd steps match step 1.
  • If one element is added per step, the nth figure has (first count + n − 1) elements.
  • Check three things in order: rotation, element count, shading.
  • A rule must fit every given figure, not just the first transition.

Series Practice Questions with Answers

Attempt each question first, then open the explanation. All 10 questions below are free to read and require no signup.

  1. Q1.A figure rotates 90° clockwise at each step. After 4 steps its orientation is:

    Easy
    • A90° from the start
    • B180° from the start
    • C270° from the start
    • DBack to the original
    +Show Answer & Explanation

    Answer: D. Back to the original

    Explanation: 4 × 90° = 360°, a full turn, so the figure returns to its starting orientation.

    Series question 1 of 10

  2. Q2.A figure rotates 45° clockwise per step. It first returns to its original position after:

    Moderate
    • A4 steps
    • B6 steps
    • C8 steps
    • D12 steps
    +Show Answer & Explanation

    Answer: C. 8 steps

    Explanation: 360/45 = 8 steps.

    Series question 2 of 10

  3. Q3.In a series, one line is added to the figure at each step. If the first figure has 2 lines, the fifth has:

    Easy
    • A5
    • B6
    • C7
    • D8
    +Show Answer & Explanation

    Answer: B. 6

    Explanation: 2 + (5 − 1) = 6 lines.

    Series question 3 of 10

  4. Q4.A shape alternates between shaded and unshaded at each step, starting shaded. The 7th figure is:

    Easy
    • AShaded
    • BUnshaded
    • CHalf shaded
    • DCannot be determined
    +Show Answer & Explanation

    Answer: A. Shaded

    Explanation: Odd-numbered steps match step 1, and 7 is odd, so the figure is shaded.

    Series question 4 of 10

  5. Q5.A figure rotates 120° anticlockwise per step. Its pattern repeats every:

    Moderate
    • A2 steps
    • B3 steps
    • C4 steps
    • D6 steps
    +Show Answer & Explanation

    Answer: B. 3 steps

    Explanation: 360/120 = 3 steps.

    Series question 5 of 10

  6. Q6.A series begins with a triangle and adds one side to the polygon at each step. The 4th figure is a:

    Moderate
    • APentagon
    • BHexagon
    • CHeptagon
    • DOctagon
    +Show Answer & Explanation

    Answer: B. Hexagon

    Explanation: The sequence runs triangle (3), quadrilateral (4), pentagon (5), hexagon (6).

    Series question 6 of 10

  7. Q7.A dot moves one corner clockwise around a square at each step. After 4 steps it is:

    Easy
    • AAt the next corner
    • BDiagonally opposite
    • CBack at the start
    • DOutside the square
    +Show Answer & Explanation

    Answer: C. Back at the start

    Explanation: A square has 4 corners, so 4 moves complete a full circuit.

    Series question 7 of 10

  8. Q8.A figure rotating 60° clockwise per step returns to its original orientation after:

    Easy
    • A4 steps
    • B5 steps
    • C6 steps
    • D8 steps
    +Show Answer & Explanation

    Answer: C. 6 steps

    Explanation: 360/60 = 6 steps.

    Series question 8 of 10

  9. Q9.Rotating a figure 270° clockwise gives the same result as rotating it:

    Moderate
    • A90° clockwise
    • B90° anticlockwise
    • C180° clockwise
    • D360° anticlockwise
    +Show Answer & Explanation

    Answer: B. 90° anticlockwise

    Explanation: 270° clockwise and 90° anticlockwise reach the same orientation.

    Series question 9 of 10

  10. Q10.If the number of elements increases by 2 each step starting from 3, the 5th figure has:

    Moderate
    • A9
    • B11
    • C13
    • D15
    +Show Answer & Explanation

    Answer: B. 11

    Explanation: 3 + 2 × (5 − 1) = 3 + 8 = 11 elements.

    Series question 10 of 10

Series — Frequently Asked Questions

How do I work out the position of a rotating figure?+

Multiply the rotation per step by the number of steps, then take the result modulo 360. A figure rotating 90° per step is back to its original orientation after 4 steps.

What should I check first in a figure series?+

Rotation, then the count of elements, then shading. Most exam series use exactly one of these as the primary rule and at most one as a secondary rule.

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