QPSea Abstract Reasoning 3 — Questions and Answers
Question 1: A series of figures shows: 2 black dots, 4 black dots, 8 black dots, 16 black dots. How many dots appear in the sixth figure?
- 32
- 48
- 64 (Correct answer)
- 128
Correct answer: 64
The number of dots doubles each step: 2, 4, 8, 16, 32, 64 — so the sixth figure has 64 dots.
Question 2: Three shapes are presented: a circle divided into 2 equal parts with 1 shaded, a circle divided into 4 equal parts with 2 shaded, a circle divided into 6 equal parts with 3 shaded. What is the next figure?
- Circle divided into 8 parts with 3 shaded
- Circle divided into 8 parts with 4 shaded (Correct answer)
- Circle divided into 6 parts with 4 shaded
- Circle divided into 10 parts with 4 shaded
Correct answer: Circle divided into 8 parts with 4 shaded
Both the total parts and the shaded parts increase by 2 each step, giving a circle with 8 parts and 4 shaded.
Question 3: In a pattern, odd-positioned figures face left and even-positioned figures face right. All figures are arrows. The 7th figure in the series faces which direction?
- Left (Correct answer)
- Right
- Up
- Down
Correct answer: Left
7 is odd, so the 7th figure follows the odd-position rule and faces left.
Question 4: A 3×3 grid has symbols: the top row has ★ ★ ○, the middle row has ★ ○ ○, and the bottom row is missing. Each row and column contains exactly two ★ and one ○. What is the missing bottom row?
- ○ ★ ★ (Correct answer)
- ★ ○ ★
- ★ ★ ○
- ○ ○ ★
Correct answer: ○ ★ ★
Column 1 already has two ★, so the bottom-left must be ○; columns 2 and 3 each need one more ★, giving ○ ★ ★.
Question 5: A figure shows a 4-pointed star. Each step, one additional point is added. How many points does the figure have after 5 steps?
- 8
- 9 (Correct answer)
- 10
- 12
Correct answer: 9
Starting at 4 and adding 1 per step for 5 steps gives 4+5=9 points.
Question 6: In a series, each shape is reflected horizontally at every even step and reflected vertically at every odd step. Starting with a 'P' shape, what does step 4 look like?
- Original P (Correct answer)
- P reflected horizontally
- P reflected vertically
- P reflected both ways
Correct answer: Original P
Steps 1 (vertical), 2 (horizontal), 3 (vertical), 4 (horizontal) — two vertical and two horizontal reflections cancel out, restoring the original P.
Question 7: A sequence of letters corresponds to shapes: A=circle, B=square, C=triangle, D=hexagon. The pattern is ABCDABCD. What shape does the 11th letter represent?
- Circle
- Square
- Triangle (Correct answer)
- Hexagon
Correct answer: Triangle
The cycle length is 4; 11 ÷ 4 = 2 remainder 3, so the 11th term is the 3rd in the cycle, which is C = triangle.
QPSea Abstract Reasoning 3
A series of figures shows: 2 black dots, 4 black dots, 8 black dots, 16 black dots.
How many dots appear in the sixth figure?