In a size progression pattern: Small square, Medium square, Large square. If size increases by factor 2 each time, what is the ratio of the first to fourth figure's area?
A1:8
B1:16
C1:4
D1:32
Correct Answer:
A. 1:8
EXPLANATION
With factor 2 increase: 1st=1, 2nd=2, 3rd=4, 4th=8. Area ratio is 1:8.
In a series, the first figure has 2 circles, the second has 3 circles, and the third has 5 circles. Following this pattern, how many circles will the fourth figure have?
A8 circles
B7 circles
C9 circles
D6 circles
Correct Answer:
A. 8 circles
EXPLANATION
This follows a Fibonacci sequence where each term is the sum of the previous two: 2+3=5, and 3+5=8.
In a size progression: Small circle, Medium circle, Large circle, Very large circle, ?. The radius increases by 1 cm each time starting from 1 cm. What is the radius of the 5th circle?
A4 cm
B5 cm
C6 cm
D7 cm
Correct Answer:
B. 5 cm
EXPLANATION
Radii: 1, 2, 3, 4, 5 cm. The 5th figure has 5 cm radius.
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