MAT - Miller Analogies Logical and Mathematical Patterns Questions and Answers 1 — Questions and Answers
Question 1: 81 : 9 :: 64 : ____
- 4
- 16
- 32
- 8 (Correct answer)
Correct answer: 8
The relationship in the first pair is that the second number is the square root of the first number (√81 = 9). Applying this mathematical pattern, the missing term is the square root of 64, which is 8.
Question 2: TRIANGLE : HEXAGON :: 3 : ____
- 5
- 8
- 6 (Correct answer)
- 4
Correct answer: 6
The relationship is between a polygon and its number of sides. A triangle has 3 sides. A hexagon has 6 sides. The analogy links the number of sides of the first shape to the number of sides of the second shape.
Question 3: ACE : GIK :: BDF : ____
- HJL (Correct answer)
- GIK
- IKM
- CEG
Correct answer: HJL
In the first pair (ACE), each letter is separated by one skipped letter (A-B-C-D-E). The second term (GIK) begins two letters after the last letter of the first term (E -> F, G) and follows the same pattern (G-H-I-J-K). Applying this logic to the second pair, BDF also has one skipped letter between each character. The next term must start two letters after F (G, H), so it starts with H. Following the same pattern of skipping one letter results in HJL (H-I-J-K-L).
Question 4: SEED : SPROUT :: LARVA : ____
- ADULT
- EGG
- PUPA (Correct answer)
- CHRYSALIS
Correct answer: PUPA
This analogy represents a sequential stage in a life cycle. A seed develops into a sprout. In the complete metamorphosis of many insects, the larva stage is followed by the pupa stage. An egg precedes the larva, and an adult follows the pupa. Chrysalis is the specific term for a butterfly's pupa.
Question 5: 2 : 8 :: 4 : ____
- 16
- 32
- 12
- 64 (Correct answer)
Correct answer: 64
The mathematical pattern is that the second number is the cube of the first number (2 x 2 x 2 = 8). To complete the analogy, you must find the cube of the second number. Therefore, 4 cubed (4 x 4 x 4) is 64.
Question 6: METER : KILOMETER :: GRAM : ____
- MILLIGRAM
- CENTIGRAM
- WEIGHT
- KILOGRAM (Correct answer)
Correct answer: KILOGRAM
The relationship is between a base unit of measurement and a unit that is one thousand times larger. A kilometer is 1,000 meters. Following this pattern, a kilogram is 1,000 grams. Milligram and centigram are smaller units, and weight is the concept being measured, not a unit in the same pattern.
81 : 9 :: 64 : ____