1. Four squares are arranged in a sequence. In each step, a small dot moves from the top-left corner to the next corner in a clockwise direction. What will be the dot position in the 5th figure?
a) Top-right corner
b) Bottom-right corner
c) Bottom-left corner
d) Top-left corner
Answer: a) Top-right corner
Explanation: The dot moves one corner clockwise each step: TL → TR → BR → BL → TL → TR. So 5th = TR.
2. In each step, a triangle changes its base from bottom to top, then top to bottom alternately. What will be the base position in the 7th figure?
a) Bottom
b) Top
Answer: b) Top
Explanation: Sequence alternates every step; odd positions = bottom, even = top. 7th is odd? Actually, Step 1: Bottom → Step 2: Top → Step 3: Bottom → Step 4: Top → Step 5: Bottom → Step 6: Top → Step 7: Bottom.
Correction: Answer: a) Bottom.
3. A circle in each figure is divided into equal sectors: 2, 4, 6, 8. What comes next?
a) 10 sectors
b) 12 sectors
c) 14 sectors
d) 16 sectors
Answer: a) 10 sectors
Explanation: The number of sectors increases by 2 each time: 2 → 4 → 6 → 8 → 10.
4. A shape alternates between a star and a hexagon in each step. If the 1st figure is a star, what is the 9th figure?
a) Star
b) Hexagon
Answer: a) Star
Explanation: Odd positions = star, even = hexagon.
5. A black square changes to white in the next step, then back to black. What will be the 8th figure’s color?
a) Black
b) White
Answer: b) White
Explanation: Alternates each step; even positions = white.
6. A single arrow rotates 90° clockwise each step. Starting at upward position, what will be 5th position?
a) Up
b) Right
c) Down
d) Left
Answer: b) Right
Explanation: Sequence: Up → Right → Down → Left → Up → Right… 5th = Right.
7. A rectangle’s size increases by one block height in each step. Starting from height 1, what is height at step 6?
a) 5
b) 6
c) 7
d) 8
Answer: b) 6
Explanation: Increases by 1 block height each time; step 6 = height 6.
8. Each figure has an increasing number of dots: 1, 3, 5, 7. Next number?
a) 8
b) 9
c) 10
d) 11
Answer: b) 9
Explanation: Odd numbers increase by 2.
9. A square rotates 45° clockwise each step. After 4 steps, how much total rotation?
a) 90°
b) 135°
c) 180°
d) 225°
Answer: d) 225°
Explanation: 45° × 5 steps = 225° from starting.
10. A pentagon alternates between filled and unfilled each step. What is the 10th figure’s fill type?
a) Filled
b) Unfilled
Answer: b) Unfilled
Explanation: Even positions = unfilled.
11. A line length increases by 2 cm each step starting from 2 cm. What is length at step 7?
a) 12 cm
b) 14 cm
c) 16 cm
d) 18 cm
Answer: a) 14 cm
Explanation: Length = 2 + (step-1)×2 = 2 + 12 = 14 cm.
12. A shaded circle moves from center to top, right, bottom, left, then center again. 7th position?
a) Top
b) Right
c) Bottom
d) Left
Answer: b) Right
Explanation: Path repeats every 5 steps; step 7 same as step 2 = Right.
13. A triangle grows by 1 side each step: 3 sides → 4 sides → 5 sides → 6 sides. What next?
a) 7 sides
b) 8 sides
Answer: a) 7 sides
Explanation: Polygon gains 1 side each step.
14. A cross shape rotates 180° each step. If step 1 is upright, what is step 5?
a) Upright
b) Upside down
Answer: a) Upright
Explanation: Rotating 180° twice brings original position; odd steps = upright.
15. Number of lines in shape increases by 1 each step starting from 1 line. Step 8 lines?
a) 7
b) 8
c) 9
d) 10
Answer: b) 8
Explanation: Increment +1 per step.
16. Square splits into 4 smaller equal squares at step 2, then each small square splits into 4 at step 3, etc. How many total squares at step 4?
a) 64
b) 16
c) 256
Answer: a) 64
Explanation: Step 1=1, Step 2=4, Step 3=16, Step 4=64 (×4 each time).
17. Black dot moves diagonally down-right in each step in 3×3 grid. After 3 moves, where is it from top-left start?
a) Bottom-right
Answer: a) Bottom-right
Explanation: Diagonal down-right from TL in 3 moves reaches BR.
18. Circle alternates between increasing and decreasing size. Start: small → medium → large → medium → small → … What is size at step 9?
a) Small
b) Medium
c) Large
Answer: c) Large
Explanation: Cycle length = 4; step 9 = large.
19. Shape changes: square → triangle → circle → square → triangle → … What is shape at step 8?
a) Circle
Answer: a) Circle
Explanation: Cycle length 3; step 8 = remainder 2 → triangle? Wait:
Step 1: Square, 2: Triangle, 3: Circle, 4: Square, 5: Triangle, 6: Circle, 7: Square, 8: Triangle. Correct answer: Triangle.
20. Arrow length alternates short/long. Start: short → long → short → … Step 12 length?
a) Short
b) Long
Answer: b) Long
Explanation: Even positions = long.
21. In each figure, number of stars doubles: 1 → 2 → 4 → 8. Step 6 stars?
a) 16
b) 32
c) 64
Answer: b) 32
Explanation: Powers of 2: step 1=1, step 6=32.
22. Hollow square becomes shaded, shaded becomes hollow alternately. Step 15?
a) Hollow
b) Shaded
Answer: a) Hollow
Explanation: Odd = hollow, even = shaded.
23. Black triangle rotates 120° clockwise each step. Step 4 position?
a) Same as step 1
b) Rotated 120°
Answer: b) Rotated 120°
Explanation: 120°×3=360° returns to start; step 4 rotates 120° again.
24. Shape sides increase by 2 each step: triangle (3) → pentagon (5) → heptagon (7). Next sides?
a) 9
b) 8
Answer: a) 9
Explanation: +2 each time.
25. In a series, black circle is inside square, then outside square alternately. Step 14 position?
a) Inside
b) Outside
Answer: a) Inside
Explanation: Even steps = inside.
26. A square is rotated 90° clockwise in each step. After 3 steps, its position will be:
a) Same as start
b) 90° clockwise from start
c) 180° from start
d) 270° from start
Answer: d) 270° from start
Explanation: 90° × 3 = 270° clockwise.
27. A triangle pointing upward rotates 60° clockwise in each step. After 6 steps, it will:
a) Point upward again
b) Point downward
c) Point sideways
d) Disappear
Answer: a) Point upward again
Explanation: 60° × 6 = 360°, so it returns to original position.
28. In each figure, an arrow rotates 45° clockwise. After 4 steps, total rotation is:
a) 90°
b) 135°
c) 180°
d) 360°
Answer: c) 180°
Explanation: 45° × 4 = 180°, arrow points opposite to start.
29. A pentagon is rotated 72° clockwise per step. After 5 steps:
a) Same as start
b) One side up
c) Two sides up
d) Inverted
Answer: a) Same as start
Explanation: 72° × 5 = 360°, full rotation.
30. A clock hand is rotated 90° anticlockwise per step. After 2 steps:
a) 90°
b) 180°
c) 270°
d) 360°
Answer: b) 180°
Explanation: 90° × 2 = 180°, opposite position.
31. In each step, a star shape rotates 30° clockwise. After 12 steps:
a) Same as start
b) 90°
c) 180°
d) 270°
Answer: a) Same as start
Explanation: 30° × 12 = 360°.
32. A rectangle is rotated 180° per step. After 3 steps, orientation will be:
a) Same as start
b) 90°
c) Upside down
d) 270°
Answer: c) Upside down
Explanation: 180° rotation flips the rectangle; odd steps = upside down.
33. An arrow pointing north rotates 135° clockwise per step. After 2 steps:
a) East
b) South-East
c) South-West
d) West
Answer: c) South-West
Explanation: 135° × 2 = 270°, so north → west → south-west.
34. A triangle is flipped horizontally in each step. After 5 steps:
a) Same as start
b) Flipped position
c) Rotated 90°
d) Rotated 180°
Answer: b) Flipped position
Explanation: Odd number of flips = flipped orientation.
35. A shape rotates 60° clockwise, then 120° anticlockwise alternately. After 2 steps, total net rotation is:
a) 60° clockwise
b) 60° anticlockwise
c) 180° clockwise
d) 180° anticlockwise
Answer: b) 60° anticlockwise
Explanation: 60° CW – 120° ACW = 60° ACW net.
36. In each step, a shape rotates by doubling the previous rotation (10°, 20°, 40°…). After 3 steps:
a) 30°
b) 70°
c) 90°
d) 100°
Answer: b) 70°
Explanation: 10° + 20° + 40° = 70°.
37. A figure rotates 45° ACW per step. After 8 steps:
a) Same as start
b) Opposite position
c) 90° rotation
d) 180° rotation
Answer: a) Same as start
Explanation: 45° × 8 = 360°.
38. In each step, a hexagon rotates 60° clockwise. After 9 steps:
a) Same as start
b) 180° rotation
c) 270° rotation
d) 90° rotation
Answer: c) 270° rotation
Explanation: 60° × 9 = 540° → 540° – 360° = 180° left + 90° → 270°.
39. A circle with a marking at the top rotates 72° ACW each step. After 4 steps:
a) Same as start
b) 72° CW
c) 72° ACW
d) 288° ACW
Answer: d) 288° ACW
Explanation: 72° × 4 = 288° ACW.
40. A triangle pointing right rotates 120° CW per step. After 3 steps:
a) Same as start
b) Pointing down
c) Pointing left
d) Pointing up
Answer: a) Same as start
Explanation: 120° × 3 = 360°.
41. An arrow rotates 90° CW, then flips vertically, alternately. After 2 steps, orientation is:
a) Same as start
b) Flipped vertical
c) Rotated 90° CW and flipped
d) Rotated 180°
Answer: c) Rotated 90° CW and flipped
Explanation: Step 1 = 90° CW; Step 2 = vertical flip from new position.
42. A figure rotates 45° CW each step. After 5 steps:
a) 225° CW
b) 180° CW
c) 270° CW
d) Same as start
Answer: a) 225° CW
Explanation: 45° × 5 = 225° CW.
43. In each step, a star rotates 90° CW twice, then 90° ACW once, repeatedly. After 3 steps:
a) 90° CW
b) 180° CW
c) 90° ACW
d) 270° CW
Answer: b) 180° CW
Explanation: Net rotation = +90° +90° – 90° = +90°, but in 3 steps total = 180°.
44. A rectangle rotates 270° CW per step. After 2 steps:
a) 180° CW
b) 180° ACW
c) 540° CW → 180° CW
d) 360° CW
Answer: c) 180° CW
Explanation: 270° × 2 = 540° CW → subtract 360° = 180° CW.
45. A shape rotates CW by an increasing sequence: 30°, 60°, 90°, … After 3 steps total rotation:
a) 90°
b) 150°
c) 180°
d) 210°
Answer: c) 180°
Explanation: 30° + 60° + 90° = 180°.
46. A symbol rotates 180° ACW per step. After 4 steps:
a) Same as start
b) 180° rotation
c) Flipped
d) 90° rotation
Answer: a) Same as start
Explanation: Even steps = back to start.
47. In each step, an arrow rotates CW by half the previous angle (90°, 45°, 22.5°…). Total rotation after 3 steps:
a) 157.5°
b) 135°
c) 120°
d) 112.5°
Answer: a) 157.5°
Explanation: 90° + 45° + 22.5° = 157.5°.
48. A diamond rotates 60° CW, then 180° ACW alternately. Net rotation after 2 steps:
a) 60° ACW
b) 120° ACW
c) 180° ACW
d) 120° CW
Answer: a) 60° ACW
Explanation: +60° – 180° = –120° → 120° ACW; equivalent to 60° ACW from start.
49. A triangle rotates CW by angles in the series 45°, 90°, 135°… After 2 steps:
a) 135° CW
b) 180° CW
c) 225° CW
d) 270° CW
Answer: c) 225° CW
Explanation: 45° + 90° = 135°, but rotation is cumulative → actually 225° from start.
50. In each step, a symbol rotates 72° CW. After 7 steps:
a) 72° CW
b) 144° CW
c) 216° CW
d) 288° CW
Answer: b) 144° CW
Explanation: 72° × 7 = 504° → subtract 360° = 144° CW.
51. Dots in successive frames: 1, 3, 5, 7, … What is the dot count at step 6?
a) 9
b) 10
c) 11
d) 12
Answer: c) 11
Explanation: Odd numbers (+2 each): 1,3,5,7,9,11.
52. Line segments reduce by one each frame: 6, 5, 4, … What is the count at step 4?
a) 2
b) 3
c) 4
d) 5
Answer: b) 3
Explanation: 6 → 5 → 4 → 3.
53. A 3×3 grid: a black cell moves left-to-right across a row, then wraps to the next row. Start at top-left. Where is it at step 5?
a) Top-middle
b) Center
c) Bottom-left
d) Bottom-middle
Answer: b) Center
Explanation: Order: (1,1)→(1,2)→(1,3)→(2,1)→(2,2).
54. Dots follow perfect squares: 1, 4, 9, 16, … Next?
a) 20
b) 24
c) 25
d) 27
Answer: c) 25
Explanation: Next square = 5².
55. Symbols per frame follow Fibonacci: 1, 1, 2, 3, 5, … Next?
a) 6
b) 7
c) 8
d) 9
Answer: c) 8
Explanation: 3rd onward = sum of previous two.
56. Added dots increase by +1, +2, +3, … Starting from 1 dot, frames show: 1, 2, 4, 7, 11, … Next?
a) 14
b) 15
c) 16
d) 17
Answer: c) 16
Explanation: Add 4 next: 11 + 5 = 16 (increments: 1,2,3,4,5…).
57. Two rows of dots: top increases by 1, bottom decreases by 1. Start (Top,Bottom) = (1,5). What is Top at step 4?
a) 2
b) 3
c) 4
d) 5
Answer: c) 4
Explanation: Steps: (1,5)→(2,4)→(3,3)→(4,2).
58. A filled cell moves down in a 3×3 grid; from bottom it wraps to top of next column to the right. Start at top-left. Where is it at step 7?
a) Top-right
b) Center
c) Bottom-middle
d) Top-middle
Answer: a) Top-right
Explanation: (1,1)→(2,1)→(3,1)→(1,2)→(2,2)→(3,2)→(1,3).
59. Polygon sides follow +2, −1, +2, −1… starting at 3: 3, 5, 4, 6, 5, 7, … What is step 7?
a) 5
b) 6
c) 7
d) 8
Answer: b) 6
Explanation: Pattern continues: after 7 comes 6.
60. Black dots per frame use primes: 2, 3, 5, 7, … Next?
a) 8
b) 9
c) 10
d) 11
Answer: d) 11
Explanation: Next prime is 11.
61. Highlighted edges grow by triangular numbers: 1, 3, 6, 10, … Next?
a) 12
b) 13
c) 14
d) 15
Answer: d) 15
Explanation: Triangular numbers Tₙ: 1,3,6,10,15.
62. Shaded small cells increase by 3 each frame: 3, 6, 9, 12, … Next?
a) 14
b) 15
c) 16
d) 18
Answer: b) 15
Explanation: Arithmetic progression (+3).
63. A bead moves one vertex clockwise on a hexagon (6 vertices) each step, starting at vertex 1. After 9 steps it is at:
a) Vertex 2
b) Vertex 3
c) Vertex 4
d) Vertex 5
Answer: b) Vertex 3
Explanation: 9 mod 6 = 3 → vertex 3.
64. Positions cycle: center → top → right → bottom → left → center → … What is the position at step 11?
a) Top
b) Right
c) Bottom
d) Center
Answer: d) Center
Explanation: Cycle length 5; 11 ≡ 1 (mod 5) → center.
65. Count of black squares in a row alternates: 2, 3, 2, 3, … Count at step 12?
a) 2
b) 3
c) 4
d) 5
Answer: b) 3
Explanation: Even steps = 3.
66. Polygon sides repeat twice each: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, … Sides at step 9?
a) 6
b) 7
c) 8
d) 9
Answer: c) 8
Explanation: (1–2)→4, (3–4)→5, (5–6)→6, (7–8)→7, (9–10)→8.
67. Arrow count follows: “×2 on odd steps, then −1 on even steps”, starting at 1. Sequence: 1, 2, 3, 6, 5, 10, … What is step 7?
a) 7
b) 8
c) 9
d) 11
Answer: c) 9
Explanation: Step6=10; step7 (odd) → ×2? Careful: rule applies to the previous value alternating. After an even step (−1), next odd step is ×2 then −? We’re already given the built values: 1,2,3,6,5,10,9 (10−1).
68. Two small circles are added each frame. Start with 4 circles at step 1. Count at step 10?
a) 20
b) 22
c) 24
d) 26
Answer: b) 22
Explanation: 4 + (10−1)×2 = 22.
69. Three positions cycle Left → Middle → Right → Left → … Start at Left. Position at step 14?
a) Left
b) Middle
c) Right
d) None
Answer: b) Middle
Explanation: Cycle length 3; 14 ≡ 2 (mod 3) → Middle.
70. Line-segment counts: 5, 7, 10, 14, … (differences +2, +3, +4, …). Next?
a) 17
b) 18
c) 19
d) 20
Answer: c) 19
Explanation: Next difference +5 → 14 + 5 = 19.
71. On a 6-dot circle, a jumper moves two dots clockwise per step. Start at dot 1. Where after 7 steps?
a) Dot 1
b) Dot 2
c) Dot 3
d) Dot 5
Answer: c) Dot 3
Explanation: Advance = 7×2 = 14; 14 mod 6 = 2 → 1→3.
72. A two-circle Venn picture alternates total regions as 2, 3, 2, 3, … Regions at step 17?
a) 2
b) 3
c) 4
d) 5
Answer: a) 2
Explanation: Odd steps = 2.
73. Boundary dots around a growing square frame: 4, 8, 12, 16, … Count at step 5?
a) 18
b) 20
c) 22
d) 24
Answer: b) 20
Explanation: +4 each step → 20.
74. Small squares formed in n×n tiling: 1, 4, 9, 16, … Count at next step?
a) 20
b) 24
c) 25
d) 36
Answer: c) 25
Explanation: (n+1)² → 5².
75. A square’s shading fills ¼, ½, ¾, full, then repeats. What fraction is shaded at step 10?
a) ¼
b) ½
c) ¾
d) Full
Answer: b) ½
Explanation: Cycle length 4; 10 ≡ 2 (mod 4) → ½.
76. A figure sequence: filled circle, filled square, filled triangle, filled pentagon, … What is the 6th figure?
a) Filled hexagon
b) Filled heptagon
c) Filled square
d) Filled circle
Answer: a) Filled hexagon
Explanation: Number of sides increases by 1 each step (3→4→5→6), so 6th = hexagon.
77. Sequence: dot at center → dot at top → dot at right → dot at bottom → dot at left → dot at center → … Which position is step 13?
a) Top
b) Right
c) Center
d) Bottom
Answer: c) Center
Explanation: Cycle length 5; 13 ≡ 3 (mod 5)? Wait compute: positions index: 1=center,2=top,3=right,4=bottom,5=left,6=center. 13 mod 5 = 3 → position 3 = right.
Correct Answer: b) Right
Corrected Explanation: Cycle of 5: step 13 → remainder 3 → right.
78. A hollow square becomes shaded, then the shading moves clockwise one quadrant each step. Sequence: unshaded, top-left shaded, top-right shaded, bottom-right shaded, bottom-left shaded, unshaded, … What is step 9?
a) Top-right shaded
b) Bottom-right shaded
c) Unshaded
d) Top-left shaded
Answer: d) Top-left shaded
Explanation: Cycle length 6 (including unshaded). Step 9 → 9 mod 6 = 3 → position 3 = top-right? Let’s map: 1 unshaded,2 TL,3 TR,4 BR,5 BL,6 unshaded,7 TL,8 TR,9 BR.
Correct Answer: b) Bottom-right shaded
Corrected Explanation: Following mapping, step 9 = bottom-right.
79. A right-pointing arrow rotates 90° CW each step. After 7 steps, it points:
a) Right
b) Down
c) Left
d) Up
Answer: b) Down
Explanation: 90°×7 = 630° → 630−360=270° → starting right rotated 270° = down.
80. Black triangle appears in corners in this order: top-left, top-right, bottom-right, bottom-left, top-left… Position at step 11?
a) Top-left
b) Top-right
c) Bottom-right
d) Bottom-left
Answer: c) Bottom-right
Explanation: Cycle length 4; 11 ≡ 3 (mod 4) → third position = bottom-right.
81. Number of small dots inside a shape: 2, 4, 8, 16, … Count at step 6?
a) 32
b) 48
c) 64
d) 128
Answer: c) 64
Explanation: Powers of 2: step 1 = 2 (2¹), step 6 = 2⁶ = 64.
82. Figures alternate: a vertical bar, then two vertical bars, then three, then four, then one, then two, … What is step 15?
a) One bar
b) Two bars
c) Three bars
d) Four bars
Answer: c) Three bars
Explanation: Cycle of 4 (1,2,3,4). 15 mod 4 = 3 → three bars.
83. A ring’s thickness increases by 1 unit each step: thin, medium, thick, thicker, thin, … What is step 10?
a) Medium
b) Thick
c) Thinner than start
d) Thin
Answer: a) Medium
Explanation: Cycle length 4: 1 thin,2 medium,3 thick,4 thicker,5 thin,… step10 ≡ 2 → medium.
84. A pattern shows: open arrow → closed arrow → open arrow → closed arrow → … Step 20 shows:
a) Open arrow
b) Closed arrow
Answer: a) Open arrow
Explanation: Even steps = closed; 20 is even → closed.
Correct Answer: b) Closed arrow
Corrected Explanation: Alternating pattern, even → closed.
85. A star flips vertically each step. Step 1 upright, Step 2 inverted, Step 3 upright… Step 9 is:
a) Upright
b) Inverted
Answer: a) Upright
Explanation: Odd steps = upright; 9 is odd.
86. A figure alternates between: black-filled, half-filled (left), white, half-filled (right), black-filled … Step 12 is:
a) White
b) Half-filled (right)
c) Black-filled
d) Half-filled (left)
Answer: b) Half-filled (right)
Explanation: Cycle length 4: 1 black,2 half-left,3 white,4 half-right → step12 ≡ 0 → half-right.
87. A dot travels around a 4×4 corner path taking 1 step per figure; starting at (1,1), after 17 steps it is at:
a) (1,1)
b) (1,2)
c) (4,1)
d) (2,1)
Answer: d) (2,1)
Explanation: Perimeter length = 12. 17 mod 12 = 5 → counting along perimeter gives (2,1).
88. Sequence of polygons: triangle, square, pentagon, hexagon, … Step 20 is what polygon?
a) 22-sided polygon
b) 23-sided polygon
c) 21-sided polygon
d) 24-sided polygon
Answer: c) 21-sided polygon
Explanation: Step1=3-side, so sides = 2+step. Step20 → 2+20 = 22? Wait: check: step1: 3, so formula sides = step + 2. Step20 → 22 sides.
Correct Answer: a) 22-sided polygon
Corrected Explanation: sides = step + 2 → 20 + 2 = 22.
89. Black dot moves in a 5×5 grid row-wise left→right, top→bottom. Starting at (1,1), step 13 position?
a) (3,3)
b) (1,3)
c) (2,3)
d) (3,2)
Answer: c) (2,3)
Explanation: Rows of 5: position index 13 → row = ceil(13/5)=3, col = 13 − (row−1)*5 = 13 −10 = 3 → (3,3).
Correct Answer: a) (3,3)
Corrected Explanation: Step13 = cell (3,3).
90. A shape alternates mirror orientation: normal, mirror-left, normal, mirror-left… Step 100 orientation?
a) Normal
b) Mirror-left
Answer: a) Normal
Explanation: Even steps = mirror-left, odd = normal. 100 even → mirror-left.
Correct Answer: b) Mirror-left
Corrected Explanation: Since 100 is even, orientation = mirror-left.
91. Sequence of shaded quadrants of a circle rotates 90° clockwise each step. After 5 steps, shaded quadrant is:
a) Same as step 1
b) One quadrant clockwise from step 1
c) Two quadrants clockwise
d) Three quadrants clockwise
Answer: b) One quadrant clockwise from step 1
Explanation: 90°×5 = 450° → 450−360=90° → one quadrant clockwise.
92. A small square appears at corners in this order: TL, TR, BL, BR, TL, … Step 21 corner?
a) TL
b) TR
c) BL
d) BR
Answer: b) TR
Explanation: Cycle length 4; 21 ≡ 1 → TL.
Correct Answer: a) TL
Correct Explanation: 21 mod 4 = 1 → top-left.
93. Figures show dots in rows: first row 1 dot, second 2, third 3, … until n rows. At step 7 total dots =?
a) 21
b) 28
c) 15
d) 36
Answer: a) 21
Explanation: Sum of first 6? Wait step7 → rows = 7, sum = 7×8/2 = 28.
Correct Answer: b) 28
Correct Explanation: Sum of 1..7 = 28.
94. A shape alternates between rotating CW 120° twice then reflecting once. After 3 steps net change =
a) Reflection
b) 240° CW rotation
c) 120° CW rotation
d) Back to start
Answer: c) 120° CW rotation
Explanation: Two 120° CW = 240° CW; then reflect (non-commutative). But after 3 steps the last operation is reflection; the net orientation depends on order. For simple exam pattern assume step3 = reflection.
Correct Answer: a) Reflection
Correct Explanation: Third step is reflection operation.
95. Dots in sequence: 2, 5, 10, 17, 26, … Next?
a) 35
b) 37
c) 38
d) 39
Answer: b) 37
Explanation: Differences: +3, +5, +7, +9 (odd increments). Next difference +11 → 26+11=37.
96. A cross rotates 45° CW per step and every third step it also inverts color (black↔white). After 6 steps, color is:
a) Same as start
b) Inverted
Answer: a) Same as start
Explanation: Color inverts at steps 3 & 6 → two inversions → back to original.
97. A square’s diagonal gets marked in this sequence: main diag → other diag → both → none → main diag → … Step 14 is:
a) Main diagonal marked
b) Other diagonal marked
c) Both diagonals marked
d) None marked
Answer: b) Other diagonal marked
Explanation: Cycle length 4; 14 ≡ 2 → other diagonal.
98. A ring’s gap moves one position clockwise among 8 equal gaps per step. Starting gap at position 1. Where is gap at step 19?
a) Position 3
b) Position 4
c) Position 11
d) Position 2
Answer: a) Position 3
Explanation: Advance 18 positions (19−1) mod 8 = 2 → position 1+2 = 3.
99. Black/white squares alternate across a 1D strip. Pattern starts B W B W … What is color at position 101?
a) Black
b) White
Answer: b) White
Explanation: Odd positions = Black. 101 odd → Black.
Correct Answer: a) Black
Correct Explanation: 101 odd => Black.
100. A figure sequence: triangle (point-up), triangle (point-right), triangle (point-down), triangle (point-left), repeat. Which orientation at step 50?
a) Point-up
b) Point-right
c) Point-down
d) Point-left
Answer: c) Point-down
Explanation: Cycle of 4. 50 mod 4 = 2 → orientation = point-right (since step1 up,2 right).
Correct Answer: b) Point-right
Correct Explanation: 50 ≡ 2 (mod 4) → second position → point-right.