Explanation

 Given:

Rectangle numbers: 3, 7, 2  
Step 1: Sum the numbers  
3 + 7 + 2 = 12
Step 2: Divide the sum by 2  
12 ÷ 2 = 6
Answer: 6  

Explanation

To solve the triangle puzzle:

Figure 1: Outer numbers are 5, 3, 4.  

Pattern: Multiply the two side numbers and add the base.  

(5 × 3) + 4 = 15 + 4 = 19

Figure 2: Outer numbers are 7, 5, 6.  

(7 × 5) + 6 = 35 + 6 = 41

Figure 3: Outer numbers are 6, 4, 5.  

(6 × 4) + 5 = 24 + 5 = 29

Answer: 41  

Explanation

1. Number of Parallelograms in a 2×3 grid

Formula: Total = (m(m+1)/2) × (n(n+1)/2)  

= (2×3/2) × (3×4/2) = 3 × 6 = 18

Answer: 18 (not in options, closest is 16)

Explanation

Explanation

To determine which set (A or B) the figure at the bottom belongs to, we need to identify a pattern or rule in the figures of Set A and Set B.

Upon close inspection, here's a breakdown:

- Set A Pattern: In all Set A figures, the dark black rectangles on the left and right bars are in symmetrical or balanced positions.

- Set B Pattern: In all Set B figures, the dark black rectangles are not symmetrical; their positions on the left and right bars differ noticeably.

Bottom Figure Analysis:

- The dark bars on both sides of the figure are in identical positions.

- This symmetry matches the pattern observed in Set A.

Explanation

The figure to be classified has two black squares:

1. One black square is in the Bottom Left Corner.

2. The other black square is on the Bottom Side next to the corner.

Since the two black squares are located on adjacent sides (the left and bottom sides) and share a corner, the figure matches the rule for SET B.

Explanation

Based on the predictions:

1. Circle: Top Left

2. Large Triangle: White (Unfilled)

3. Small Triangle: Right

   A (Circle: Top Left, Large Triangle: White, Small Triangle: Right) - Correct.

Explanation

Figure Description:

- Top row: ★ ★ ★  

- Bottom row: ★ ★ ★ (black star)

Classification Logic:

- Set B Rule: The figure has a black star in the bottom row.

- This figure does have a black star in the bottom row.

Explanation

Top Set (Set 1):

All figures are composed of five (5) blocks.

They are all different rotations of the same basic L-shaped pentomino (or a 1x4 column with one block attached to the side).

Explanation