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Non-verbal Reasoning · Question 51 of 65

Two straight lines run from the top corner of a triangle down to its base.

Question 51

EasyOriginal question

Two straight lines run from the top corner of a triangle down to its base. How many triangles does the figure contain?

The figure is a triangle divided by 2 lines drawn from its top vertex to its base.
Options for question 51

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. From the top vertex there are 4 lines in all: the two sides and the 2 inner lines. Any 2 of them form a triangle with a horizontal line as the third side.

  2. Pairs of lines from the vertex: (42)=6\binom{4}{2} = 6.

  3. Horizontal lines that can close them: 1 (the base).

  4. Triangles =6×1=6= 6 \times 1 = 6.

Worth noting

Counting only the smallest pieces gives 3. Every triangle here has its top at the vertex, so choose its two slanting sides and its base.

Concept
Counting triangles with a common vertex
Typical time
40 s
Your time
—
The rule this testsCounting figures
Practise this chapter →

Ten questions from Non-verbal Reasoning, at your own pace.

Practise this chapter →

Ten questions from Non-verbal Reasoning, at your own pace.