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Mediumnumeric analogy

~45s

A product analogy

6 : 42 :: 7 : ?

Show the answer and the worked solution

Correct answer: C.

56

Worked solution

  1. 42 = 6 × 7, so the rule is n(n + 1).
  2. 7 × 8 = 56.

Answer: 56.

The idea

When the result is close to but not equal to n², try n(n + 1) or n(n − 1). Here 49 is offered as the square trap.

Shortcut. 42 = 6² + 6, so the rule is n² + n: 7² + 7 = 49 + 7 = 56.

Common trap. 49 — reading 42 as 6 × 7 with 7 as a fixed multiplier, so 7 × 7; the multiplier is n + 1, which moves on to 8.

Analogies & Classification

22 of 38

Level

Medium

Target time

~45s

A product analogy — Aptitude Question

A product analogy: 6 : 42 :: 7 : ? Answer and worked solution on CodeKairo.

Question

6 : 42 :: 7 : ?

Options

  1. 48
  2. 49
  3. 56
  4. 63
Show the answer and the worked solution

Correct answer: C. 56

Worked solution

  1. 42 = 6 × 7, so the rule is n(n + 1).
  2. 7 × 8 = 56.

Answer: 56.

The idea

When the result is close to but not equal to n², try n(n + 1) or n(n − 1). Here 49 is offered as the square trap.

Shortcut. 42 = 6² + 6, so the rule is n² + n: 7² + 7 = 49 + 7 = 56.

Common trap. 49 — reading 42 as 6 × 7 with 7 as a fixed multiplier, so 7 × 7; the multiplier is n + 1, which moves on to 8.

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