What's the difference between verbs check and test?

[Tasik]

English Language Tests, Intermediate level

ESL/EFL Test #87 "Simple Present (4)", question 5

Immediately Andrew started to worry. He didn't know her name. He didn't know her address and he felt strange. He ......... his pulse. He tests his mental faculties: "Two and two make four."

(a) detects
(b) investigates
(c) checks
(d) ticks

English Language Tests, Intermediate level

ESL/EFL Test #87 "Simple Present (4)", answer 5

Immediately Andrew started to worry. He didn't know her name. He didn't know her address and he felt strange. He checks his pulse. He tests his mental faculties: "Two and two make four."

Correct answer: (c) checks

Your answer was: correct
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What's the difference between verbs check and test?

[Skrej]

A test is a more formal in-depth analysis or diagnosis. A check is a quick inspection, verification, or appraisal.
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Plan to be spontaneous tomorrow.
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Did you hear they arrested the Energizer Bunny on battery charges?
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[Kati Svaby]

Pulse: the regular beat of blood as it is sent around the body by the heart. The number of times the blood beats in a minute. It can be felt in different places especially on the inside part of the wrist.

Andrew started to worry so pulse became quicker.