18. Figure Pattern
Observe:
Figure 1: ●
Figure 2: ●●
Figure 3: ●●●
Figure 4: ●●●●How many dots should Figure 7 contain?
A) 5 B) 6 C) 7 D) 8
Answer: C) 7
Explanation:
The number of dots increases by 1 in every figure:
Figure 1 → 1 dot
Figure 2 → 2 dots
Figure 3 → 3 dots
Figure 4 → 4 dots
Figure 5 → 5 dots
Figure 6 → 6 dots
Figure 7 → 7 dotsTherefore:
Figure 7: ●●●●●●●Answer: C) 7
19. Figure Pattern
Observe:
Figure 1: ▲
Figure 2: ▲▲
Figure 3: ▲▲▲▲
Figure 4: ▲▲▲▲▲▲▲▲How many triangles should Figure 5 contain?
A) 10 B) 12 C) 16 D) 20
Answer: C) 16
Explanation:
The number of triangles doubles each time:
Figure 1 → 1
Figure 2 → 2
Figure 3 → 4
Figure 4 → 8Therefore:
Figure 5
= 8 × 2
= 16So:
▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲
▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲Answer: C) 16
Correction: The numerical answer is 16, which corresponds to C, not D.
20. Figure Matrix
Find the missing symbol:
┌────┬────┬────┐
│ ○ │ △ │ □ │
├────┼────┼────┤
│ △ │ □ │ ○ │
├────┼────┼────┤
│ □ │ ○ │ ? │
└────┴────┴────┘A) ○ B) △ C) □ D) ◇
Answer: B) △
Explanation:
Each row contains the three symbols:
○ △ □The order shifts one position to the left in each row:
Row 1: ○ △ □
Row 2: △ □ ○
Row 3: □ ○ △Therefore:
┌────┬────┬────┐
│ ○ │ △ │ □ │
├────┼────┼────┤
│ △ │ □ │ ○ │
├────┼────┼────┤
│ □ │ ○ │ △ │
└────┴────┴────┘Answer: B) △
21. Figure Matrix
Find the missing symbol:
┌────┬────┬────┐
│ ▲ │ ■ │ ● │
├────┼────┼────┤
│ ■ │ ● │ ▲ │
├────┼────┼────┤
│ ● │ ▲ │ ? │
└────┴────┴────┘A) ▲ B) ■ C) ● D) ◆
Answer: B) ■
Explanation:
The three symbols are:
▲ ■ ●Each row shifts the symbols one position to the left:
Row 1: ▲ ■ ●
Row 2: ■ ● ▲
Row 3: ● ▲ ■Therefore:
? = ■Answer: B) ■
22. Mirror Image
A vertical mirror is placed on the right side of the word:
CATWhich option represents its mirror image?
A) TAC B) CAT C) TCA D) ACT
Answer: A) TAC
Explanation:
A vertical mirror reverses the left-right order.
Original:
C A TMirror:
T A CTherefore:
CAT → TACAnswer: A) TAC
Note: In a real mirror-image question, the letters themselves are also laterally reversed. Since the options here are plain text, TAC represents the intended order reversal.
23. Mirror Image
A mirror is placed on the right side of:
12345What will be the order seen in the mirror?
A) 54321 B) 12345 C) 21345 D) 15432
Answer: A) 54321
Explanation:
A vertical mirror reverses the order:
Original:
1 2 3 4 5
↓ ↓ ↓ ↓ ↓
Mirror:
5 4 3 2 1Therefore:
Answer: A) 54321
24. Water Image
A horizontal mirror is placed below the letter:
PWhich type of transformation occurs?
A) Left-right reversal B) Top-bottom reversal C) No change D) Rotation by 90°
Answer: B) Top-bottom reversal
Explanation:
A water image is produced by a horizontal mirror.
Original
P
|
| Horizontal mirror
───────────────
|
Reflected imageThe top and bottom positions are reversed.
Vertical mirror → Left ↔ Right
Horizontal mirror → Top ↔ BottomTherefore, the answer is:
B) Top-bottom reversal
25. Paper Folding
A square sheet is folded once vertically and once horizontally.
Original:
+-------+
| |
| |
| |
| |
+-------+
↓
Fold vertically:
+---+---+
| | |
| | |
| | |
| | |
+---+---+
↓
Fold horizontally:
+---+
| |
+---+
| |
+---+A hole is punched through the folded sheet.
How many holes will appear when the sheet is completely unfolded?
A) 2 B) 4 C) 6 D) 8
Answer: B) 4
Explanation:
The paper is folded twice:
First fold:
2 layers
Second fold:
2 × 2 = 4 layersTherefore, one hole punched through the final folded paper will appear in 4 corresponding positions when unfolded.
Final unfolded paper:
+-------+
| • |
| |
| |
| • |
+-------+
Actually, the four positions are:
• •
• •Therefore:
Number of holes = 4Answer: B) 4
26. Paper Folding
A paper is folded once in half:
+---------+
| |
| |
+---------+
↓
+----+
| |
+----+
| |
+----+One hole is punched through the folded paper.
After unfolding, how many holes are visible?
A) 1 B) 2 C) 3 D) 4
Answer: B) 2
Explanation:
The paper is folded once:
Original paper
↓
2 layersA hole punched through both layers produces:
1 hole × 2 layers = 2 holesAfter unfolding:
• ← first layer
• ← second layerTherefore:
Answer: B) 2
27. Embedded Figure
Which option contains the small shape?
Target:
/\
/ \
/____\A) A square B) A circle C) A triangle containing the same three connected sides D) A straight line
Answer: C) A triangle containing the same three connected sides
Explanation:
The target consists of three connected line segments forming a triangle:
/\
/ \
/____\Therefore, the option containing the same connected triangular structure is:
C) A triangle containing the same three connected sides
28. Figure Rotation
A triangle points upward:
/\
/ \
/____\If it is rotated 180°, which is correct?
A)
/\
/ \
/____\B)
\____/
\ /
\/C)
|
/ \
/___\D)
────
\/Answer: B
Explanation:
A 180° rotation turns the figure completely upside down.
Original:
/\
/ \
/____\After 180°:
\____/
\ /
\/Therefore:
Answer: B
29. Figure Rotation
An arrow initially points right:
→It is rotated 90° clockwise.
Which direction will it point?
A) ↑ B) ↓ C) ← D) →
Answer: B) ↓
Explanation:
A 90° clockwise rotation changes:
↑ → →
→ → ↓
↓ → ←
← → ↑Therefore:
→
↓The arrow points down.
Answer: B) ↓
30. Cube Painting
A cube has all six faces painted and is divided into:
3 × 3 × 3 = 27How many small cubes have paint on exactly one face?
A) 6 B) 8 C) 12 D) 24
Answer: A) 6
Explanation:
For a 3 × 3 × 3 cube, the cubes with exactly one painted face are the center cubes of each face.
Each face has:
3 × 3The center is:
1 cubeThere are 6 faces:
6 × 1 = 6Therefore:
Answer: A) 6
31. Cube Painting
A cube is divided into:
4 × 4 × 4 = 64How many small cubes have paint on exactly three faces?
A) 4 B) 6 C) 8 D) 12
Answer: C) 8
Explanation:
Cubes with exactly three painted faces are located at the 8 corners of the large cube.
●──────●
/| /|
●──────● |
| ●────|─●
|/ |/
●──────●Every corner cube has three painted faces.
There are always:
8 cornersTherefore:
Answer: C) 8
32. Cube Counting
A large cube is divided into 3 × 3 × 3 smaller cubes.
How many smaller cubes are there in total?
A) 9 B) 18 C) 27 D) 36
Answer: C) 27
Explanation:
Multiply the number of divisions along each dimension:
3 × 3 × 3
= 9 × 3
= 27Visual representation:
Layer 1: 3 × 3 = 9
Layer 2: 3 × 3 = 9
Layer 3: 3 × 3 = 9
Total = 9 + 9 + 9
= 27Therefore:
Answer: C) 27
33. Dice Position
Three faces of a die are visible:
+-----+
/ 1 /|
+-----+ |
| 2 |3|
+-----+/If 1, 2 and 3 meet at one corner, which statement is definitely true?
A) 1 is opposite 2 B) 2 is opposite 3 C) 1, 2 and 3 are adjacent to one another D) 1 is opposite 3
Answer: C) 1, 2 and 3 are adjacent to one another
Explanation:
If three faces meet at the same corner, each face shares an edge with the other two.
Therefore:
1
/ \
/ \
2─────3This means:
1 ↔ 2 adjacent
1 ↔ 3 adjacent
2 ↔ 3 adjacentOpposite faces cannot meet at the same corner.
Therefore:
Answer: C) 1, 2 and 3 are adjacent to one another
34. Dice Reasoning
A die has opposite faces:
1 ↔ 6
2 ↔ 5
3 ↔ 4If the top face is 3, which number is on the bottom?
A) 1 B) 2 C) 4 D) 6
Answer: C) 4
Explanation:
The opposite pairs are given directly:
1 ↔ 6
2 ↔ 5
3 ↔ 4Therefore:
Top = 3
Bottom = 4Answer: C) 4
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