ExamShortcut
medium importance~1-2 Q in Tier 12 formulasโšก 5 shortcuts3 subtopics

Figure-based puzzles โ€” paired grids, single grids, circles โ€” where one cell is hidden behind a numerical rule. Every rule connects the cells of a row (or segment), and the same rule is demonstrated by at least two complete instances. The winning habit is two-line verification: fit the rule on one complete row, confirm on the other, then apply. Digit-sum and digit-reversal variants reward students who switch families quickly when plain arithmetic stalls.

Track record in the exam

avg 1.0 Q / shift2024: 1โ€“2 Q2025: 1 Q

Questions per shift in recent SSC CGL papers.

Test difficulty mix (45 questions)

15 easy19 medium11 hard

Question patterns exams keep repeating

Taken from previous-year papers. If a pattern is marked "very common", expect to see it in your exam.

Row-rule hunt in a grid

very common
Spot it:

A 3ร—3 grid with one missing cell; rows (or columns) share a hidden rule.

How to solve: Test bridges in order: a+b, |aโˆ’b|, ab, 2ab, abยฑk, aยฒ+bยฒ, (a+b)ยฒ โ€” fit on every complete row before applying.

Example: Rows: (6,3,15), (8,4,28), (9,5,?)

Plain a+b fails (9, 12). Divide out: 15 = 5ร—3, 28 = 7ร—4 โ€” the multipliers 5, 7 are one less than the first numbers โ†’ c = (aโˆ’1)ร—b โ†’ (9โˆ’1)ร—5 = 40.

Learn this in โ€œGrids with row (or column) rulesโ€ โ†’

Two grids, one rule

common
Spot it:

Two complete grids and an incomplete third.

How to solve: Derive the rule on the first grid, verify it on the second, then apply to the third.

Example: Grid 1: (2,3,7),(3,4,13). Grid 2: (4,5,?),(5,6,31)

c = aร—b + 1 โ†’ 31 โœ“ โ†’ 4ร—5 + 1 = 21.

Learn this in โ€œGrids with row (or column) rulesโ€ โ†’

Square-based row rule

common
Spot it:

Output cells sit next to perfect squares (26, 48, 50, 63...).

How to solve: Square the first (or second) input and read the leftover: aยฒ ยฑ b, aยฒ ยฑ 1, aยฒ + bยฒ.

Example: Rows: (4,6,10), (5,3,22), (7,2,?)

a + b fits row 1 only. aยฒ โˆ’ b: 16โˆ’6 = 10 โœ“, 25โˆ’3 = 22 โœ“ โ†’ 49โˆ’2 = 47.

Learn this in โ€œHow missing-number puzzles workโ€ โ†’

Circle / triangle segments

common
Spot it:

Numbers placed in sectors of a circle or corners of a triangle with a centre value.

How to solve: Treat each sector as a row, or pair opposite sectors; test constant sum, then centre = sum/product of corners.

Example: Triangles (corners โ†’ centre): (2,3,4 โ†’ 24), (1,5,6 โ†’ 30), (3,2,5 โ†’ ?)

Centre = product of corners: 2ร—3ร—4 = 24 โœ“, 1ร—5ร—6 = 30 โœ“ โ†’ 3ร—2ร—5 = 30.

Learn this in โ€œGrids with row (or column) rulesโ€ โ†’

Reversed-digit rule

common
Spot it:

Mirror-image digits across the row (23 beside 32); outputs look like scrambled sums.

How to solve: Test R(a) + R(b) and R(a + b); confirm on both complete rows.

Example: Rows: (23,14,73), (45,12,75), (62,23,?)

R(23)+R(14) = 32+41 = 73 โœ“; R(45)+R(12) = 54+21 = 75 โœ“ โ†’ 26+32 = 58.

Learn this in โ€œDigit-sum and digit-reversal rulesโ€ โ†’

Digit-product rule

occasional
Spot it:

Outputs are small and factor neatly into the digits of the inputs.

How to solve: P(n) = product of digits; test P(a), P(a) + P(b), then weighted mixtures.

Example: Rows: (24,35,23), (43,26,24), (52,33,?)

P(24)+P(35) = 8+15 = 23 โœ“; P(43)+P(26) = 12+12 = 24 โœ“ โ†’ P(52)+P(33) = 10+9 = 19.

Learn this in โ€œDigit-sum and digit-reversal rulesโ€ โ†’

Digit-sum grid

common
Spot it:

Third numbers tiny compared with the values.

How to solve: S(a)+S(b) first, then S(a+b); fit on all complete rows.

Example: Rows: (29,14,18), (38,25,20), (56,34,?)

S(29)+S(14) = 11+5 = 16, but the answer is 18 โ€” a constant +2 gap. Check row 2: S(38)+S(25) = 11+7 = 18, +2 = 20 โœ“ โ†’ rule is S(a)+S(b)+2 โ†’ 11+7+2 = 20.

Learn this in โ€œDigit-sum and digit-reversal rulesโ€ โ†’

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