Non-Verbal: Dice, Figures & Patterns: previous-year questions

Answer: (A) 185

In each figure the bottom number is (sum of the top numbers) × (their difference): (11 + 5) × (11 − 5) = 96 and (15 + 9) × (15 − 9) = 144. So the missing number is (21 + 16) × (21 − 16) = 37 × 5 = 185. The other options do not follow this rule.

Answer: (B) 1

Across the four views (i)–(iv), the face 2 is seen next to 6, 4, 3 and 5. A face cannot be adjacent to its opposite, so the only number left for the face opposite 2 is 1. 4, 5 and 3 are all seen beside 2.

Answer: (A) Figure (a)

Each figure is a triangle with three arrows. In (b), (c) and (d) two arrows point into the triangle and one points out of it, but in (a) only one arrow points in and two point out. So (a) is the odd figure.

Answer: (C) 9

In each figure the centre = (left + right) − (top + bottom): (13 + 15) − (9 + 12) = 7 and (16 + 14) − (8 + 13) = 9. For the third figure, (15 + 17) − (9 + 14) = 32 − 23 = 9. The other options do not follow this rule.

Answer: (C) 135

Each inner triangle is the product of its own outer number and the next outer number clockwise: top 7 × 9 = 63, bottom 15 × 2 = 30 and left 2 × 7 = 14. So the right triangle is 9 × 15 = 135. 18 and 33 do not fit this rule.

Answer: (B) Figure (b)

In (a), (c) and (d) a simple shape (a square, a circle, a triangle) is divided into four parts by two crossing lines drawn inside it. Figure (b) is instead a plus-shaped outline made of five small squares, so it is the odd one.

Answer: (D) 3

The four numbers in each circle add up to 100: 14 + 36 + 25 + 25 = 100 and 20 + 50 + 20 + 10 = 100. In the third circle 36 + 54 + 7 = 97, so the missing number is 3. The other options give totals of 97 to 99.

Answer: (C) 11

Each number on one half of the wheel is linked to the number diametrically opposite it by the rule $n \rightarrow 2n+1$: opposite 2 is $2\times2+1=5$, opposite 3 is $2\times3+1=7$, and opposite 4 is $2\times4+1=9$. The sector marked "?" lies opposite 5, so it must be $2\times5+1=11$. In wheel or circle puzzles, first test the relation between opposite sectors, then between adjacent sectors, and only then look for a running series around the rim.

Answer: (A) 1

Comparing the two given positions of the dice and eliminating the faces that are adjacent to the 3-dot face in both views identifies the face opposite it as bearing 1 dot.

Answer: (B) FLAT

Fitting FATE, FORT, ROLE and TILL into the grid's crossing letters works consistently, leaving no space for FLAT to fit correctly, so FLAT is the odd one out.

Answer: (B) 173

Placing 137, 301, 731 and 770 into the grid's crossing cells works consistently, leaving no valid position for 173, which is the number that won't fit.

Answer: (B) 5

Working from the given numbers (bottom row 9, 7, 8, 5 and the value 59 at the apex), solving the pyramid's addition relationships gives the value 5 at the marked position.

Answer: (D) Eight

Scanning through the given string and checking each letter's immediate neighbours against the "preceded by symbol XOR followed by number" condition (satisfying exactly one, not both) identifies eight qualifying letters in the arrangement.

Answer: (C) 30

Substituting the coded symbols with their real operators: $27 > 81\ \$\ 9 < 6$ becomes $27+81\div9-6 = 27+9-6=30$.

Answer: (D) 12

Systematically counting every triangle formed by the figure's lines — including the smallest individual triangles as well as the larger triangles formed by combining adjacent smaller ones — gives a total of 12 triangles.

Answer: (C) 15

Counting every square in the overlapping figure — the smallest unit squares as well as the larger squares formed by combining them — gives a total of 15 squares.

Answer: (A) 2

Comparing the two shown positions of the dice and eliminating the faces visible adjacent to the 4-dot face in both views identifies the opposite face as having 2 dots.

Answer: (C) 16

Such questions are solved by counting each straight line of the figure only once, however many smaller segments it is cut into: count the horizontal lines, then the vertical lines, then the slanting lines, and add them. For the figure in the question paper the key gives a total of 16.