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11. 6 : 72 :: 8 : ?

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Solution:
6 * 12 = 72 and
8 * 12 = 96
12. 384 : ? :: 216 : 63

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Solution:
216/4 = 54, and 216/3 = 72
72+54 = 126/2 = 63.

384/4 = 96, and 384/3 = 128.
128+96 = 224, 224/2 = 112.
13. Air : Atmosphere :: Water : ?

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Solution:
Atmosphere is the biggest unit which contains Air similarly Ocean is the biggest unit which contains Water.
14. Mother : Daughter :: Father : ?

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Solution:
Father is the masculine of Mother in same way Son is masculine of Daughter.
15. Obey : Defy :: Work : ?

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Solution:
Defy is antonym of Obey in same way Rest is antonym of Work.
16. Light : Sun :: Heat : ?

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Solution:
Sun gives us Light in same way Fire gives us Heat.
17. Oil : Lamp :: Wax : ?

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Solution:
Lamp contains Oil in same way Candle contains Wax.
18. Parrot : Cage :: Man : ?

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Solution:
Parrot is captured in Cage in same way Man is captured in Prison.
19. Mango : Fruit :: Potato : ?

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Solution:
we are comparing the relationship between two different items. A "Mango" is a type of fruit, so the relationship is that of a fruit. To find a similar relationship for "Potato," we need to identify what category it belongs to. A "Potato" is a type of root vegetable. Therefore, the analogy is:

Mango : Fruit :: Potato : Root

So, the correct answer is Option A: Root, as it correctly completes the analogy, representing the category to which "Potato" belongs.
20. Dog : Bark :: Goat : ?

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Solution:
Dog makes noise known as Bark and Goat makes noise known as Bleat.