Directions: In each of the following questions, there are two set of numbers to the left of the sign :: which are connected in some way. The same relationship obtains between the third set of numbers and one of the four alternatives under it. Find the correct alternative in each question.
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6 : 24 :: 5 : ?
Second term = 4 × First term
Fourth term = 4 × Third term
11 : 17 : : 19 : ?
11 : 17 alternate prime number (skipping 13)
19 : 29 alternate prime number (skipping 23)
3 : 27 : : 4 : ?
Second term = (First term)³
∴ Fourth term = (Third term)³
12 : 30 : : 20:?
12 = 3² + 3, 30 = 5² + 5 :
20 = 4² + 4 : ? = 6² + 6
3 : 10 :: 8, ?
3 = 2² – 1,10 = 3² + 1
8 = 3² – 1,? = 4² + 1
13 : 19 :: ? : 31
13 and 19 are primes with 17 left out in between.
48 : 122 : : 168 : ?
48 = 7² – 1, 122 = 11² + 1 :
168 = 13² – 1, ? = 17² + 1
211 : 333 :: 356 :?
(2 + 1 + 1) + 5 = 3 + 3 + 3
(3 + 5 + 6) + 5 = 3 + 8 + 8
14 : 9 :: 26 : ?
The relationship is (2x – 4) : x
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