RBC - Online Assessment Abstract and Logical Patterns Questions and Answers — Questions and Answers
Question 1: Observe the sequence of figures. Which of the answer figures logically comes next?
- A figure where the internal arrow points directly south and the small circle is in the top-left corner. (Correct answer)
- A figure where the internal arrow points southwest and the small circle is in the bottom-left corner.
- A figure where the internal arrow points directly south and the small circle is in the bottom-right corner.
- A figure where the internal arrow points east and the small circle returns to the top-left corner.
Correct answer: A figure where the internal arrow points directly south and the small circle is in the top-left corner.
The pattern consists of two independent rules. Rule 1: The small circle moves clockwise from one corner to the next in each step. In the fourth figure, it is in the bottom-left, so in the next step, it will return to the top-left. Rule 2: The internal arrow rotates 45 degrees clockwise in each step. In the fourth figure, it points southeast, so the next 45-degree rotation will make it point directly south. The correct answer combines these two outcomes.
Question 2: Analyze the relationship between the shapes in each box. Which of the following options is the odd one out?
- A square containing three small circles.
- A pentagon containing five small circles. (Correct answer)
- A hexagon containing five small circles.
- A triangle containing two small circles.
Correct answer: A pentagon containing five small circles.
The logical rule followed by three of the four figures is that the number of small internal circles is one less than the number of sides of the outer shape. A triangle (3 sides) has 2 circles. A square (4 sides) has 3 circles. A hexagon (6 sides) has 5 circles. The pentagon (5 sides) has 5 circles, which violates the rule (it should have 4).
Question 3: A logical pattern is established in the rows and columns of the 3x3 grid. Which of the answer choices should replace the question mark (?) to complete the grid?
- A grey square
- A white square
- A black circle
- A white circle (Correct answer)
Correct answer: A white circle
The logic of the grid follows Sudoku-like rules. Each row and each column must contain exactly one of each shape (circle, square, triangle) and one of each shading (black, white, grey). The third row already has a grey square and a black triangle. Therefore, the missing shape must be a circle and the missing shading must be white. The third column already has a grey triangle and a black square, confirming the missing shape is a circle and the missing shading is white.
Question 4: Figure A is to Figure B in the same way that Figure C is to which of the following answer choices?
- A hexagon with a square inside.
- A pentagon with a triangle inside.
- A pentagon with a square inside. (Correct answer)
- A square with a pentagon inside.
Correct answer: A pentagon with a square inside.
The transformation rule from Figure A to Figure B is: the original shape moves to the inside, and a new outer shape is added that has one more side than the original shape. Figure A (triangle, 3 sides) becomes the inner shape in Figure B, with a new outer shape (square, 4 sides). Applying this same rule to Figure C (square, 4 sides), it should become the inner shape, and a new outer shape with 5 sides (a pentagon) should be added.
Question 5: Examine the following sequence of items. Which item should logically come next?
- Four white dots
- Three white dots
- Four black dots (Correct answer)
- Three black dots
Correct answer: Four black dots
This sequence follows an alternating two-step pattern. Step 1: Add one dot of the current color. Step 2: Invert the color of all dots. The sequence is: 1 black dot -> (add dot) -> 2 black dots -> (invert) -> 2 white dots -> (add dot) -> 3 white dots -> (invert) -> 3 black dots. The last action was 'invert'. Therefore, the next action is 'add dot', resulting in four black dots.
Question 6: A figure is undergoing a series of transformations. Based on the pattern, which figure should appear in the position of the question mark (?)?
- A large square in the bottom-left quadrant containing a small black circle.
- A large square in the bottom-left quadrant containing a small white circle. (Correct answer)
- A large square in the top-left quadrant containing a small white circle.
- A large square in the bottom-right quadrant containing a small white circle.
Correct answer: A large square in the bottom-left quadrant containing a small white circle.
There are two patterns occurring simultaneously. First, the large square moves one quadrant clockwise with each step: top-left, top-right, bottom-right. The next logical position is the bottom-left quadrant. Second, the small inner circle alternates its color with each step: black, white, black. The next logical color is white. Therefore, the correct figure is a large square in the bottom-left quadrant containing a small white circle.
Observe the sequence of figures.
Which of the answer figures logically comes next?