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SSC CGL Reasoning · Non-Verbal Series and Analogy

Alternating Figures

Figure series where two forms take turns, so every second figure is the same, or where each part of the figure follows its own short rule.

Why this matters

Nine questions in the bank, 6 from the 2023 shifts and 3 from the 2024 shifts, with 5 EASY, 3 MODERATE and 1 HARD. Spotting that figure 3 repeats figure 1 solves the easy ones in seconds; the harder ones split the figure into parts that each change in their own way.

Concept 1 of 2: Two forms taking turns

Some series do not progress at all: they swing between two forms, A, B, A, B. Once you see that figure 3 matches figure 1, the fifth figure must match them too.

Definition

  • Compare figure 1 with figure 3, and figure 2 with figure 4. If both pairs match exactly, the series alternates.
  • The next figure after four is figure 5, an odd figure, so it repeats figures 1 and 3.
  • The two forms can differ in shading (black and white swapped), in direction (up and down) or in which half is shaded.
  • If figures 1 and 3 differ even a little, the series is not a plain alternation; check the other rules.
  • Fast route: find the option identical to figure 3. Then confirm it differs from figure 4 the way figure 3 differs from figure 2.

Worked example

The first four figures of a series are: a white circle with a black dot, a black circle with a white dot, a white circle with a black dot, a black circle with a white dot. What is the fifth figure?
Practice this conceptself-check · 4 quick reps

The same idea in a real exam question:

SSC CGL · 2023 · Tier I, 14 Jul 2023, Shift 4 · Q7Easy

Example 1 · Non-Verbal Series and Analogy · Alternating Figures

Select the figure from among the given options that can replace the question mark (?) in the following series.

Calling a series alternating too soon

Two figures that look alike at a glance can differ in one dot or one shaded half. Compare figures 1 and 3 mark by mark before you decide the series alternates.

Concept 2 of 2: Parts with rules of their own

A figure can have several parts, each changing by its own short rule: one part alternates, another turns, a third is counted. Treat the figure as a set of small series, solve each one, and put the answers back together.

Definition

1. List the parts that change: an outline, a set of lines, a dot, a mark inside. 2. For each part, find its rule using the order of checks: count, turn, move, alternate. 3. Write what each part becomes in the next figure. 4. The answer is the option that shows every part's next state.

  • Parts with rules of different lengths (one alternates every 2 figures, one goes round 4 corners) line up again after a number of steps that both lengths divide.
  • Fast route: use the part with the clearest rule to strike options first, then check the next part on the ones left.

Worked example

In each figure of a series, the top shape alternates square, circle, square, circle, and the number of lines below it runs 1, 2, 3, 4. What is the fifth figure?
Practice this conceptself-check · 4 quick reps

The same idea in a real exam question:

SSC CGL · 2024 · Tier I, 12 Sep 2024, Shift 1 · Q7Moderate

Example 2 · Non-Verbal Series and Analogy · Alternating Figures

Select the figure from among the given options that can replace the question mark (?) in the following series.

Solving one part and stopping

When three parts change, an option that gets two of them right is still wrong. Write the next state of every part before you pick.

Mixing the rules of two parts

If the dots alternate and the lines are counted, do not count the dots. Keep each rule tied to its own part.

Summary — formulas & gotchas at a glance

A revision cheat-sheet for the formulas and gotchas above. Click any concept name to jump back to its full explanation.

Watch out for (3)

Test yourself on Non-Verbal Series and Analogy

20 past SSC CGL questions from this chapter, timed at 12 minutes and marked the way the exam marks it. You see your score and every answer the moment you finish. Free to start.