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Mediumnumeric analogy

~50s

Double and add

5 : 12 :: 8 : ?

Show the answer and the worked solution

Correct answer: C.

18

Worked solution

  1. 12 = 2 × 5 + 2.
  2. 2 × 8 + 2 = 18.

Answer: 18.

The idea

Try 2n, 2n ± k and 3n − k when the result is a small multiple of the input. Confirm with the numbers you are given.

Shortcut. 12 = 2 × 6 = 2 × (5 + 1), so the rule is 2(n + 1): 2 × 9 = 18.

Common trap. 16 — doubling 8 and dropping the +2 that the given pair (2 × 5 + 2 = 12) requires.

Analogies & Classification

23 of 38

Level

Medium

Target time

~50s

Double and add — Aptitude Question

Double and add: 5 : 12 :: 8 : ? Answer and worked solution on CodeKairo.

Question

5 : 12 :: 8 : ?

Options

  1. 16
  2. 17
  3. 18
  4. 20
Show the answer and the worked solution

Correct answer: C. 18

Worked solution

  1. 12 = 2 × 5 + 2.
  2. 2 × 8 + 2 = 18.

Answer: 18.

The idea

Try 2n, 2n ± k and 3n − k when the result is a small multiple of the input. Confirm with the numbers you are given.

Shortcut. 12 = 2 × 6 = 2 × (5 + 1), so the rule is 2(n + 1): 2 × 9 = 18.

Common trap. 16 — doubling 8 and dropping the +2 that the given pair (2 × 5 + 2 = 12) requires.

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