Problem-Solving & Logical Reasoning Flashcards

Arrange the steps to solve a problem logically: (1) Evaluate solutions, (2) Define the problem, (3) Implement the best solution, (4) Generate possible solutions.

Answer: 2, 4, 1, 3

The logical order is: define the problem, generate solutions, evaluate them, then implement the best one.

A rectangle's length is twice its width. If the perimeter is 60 cm, what is the area?

Answer: 200 cm²

Width = 10, length = 20; perimeter = 2(10+20) = 60; area = 10 × 20 = 200 cm².

Odd one out: January, March, June, August, October

Answer: June

June has 30 days; all other months listed have 31 days.

A statement reads: 'Students who study hard always pass.' Tom failed. What can you conclude?

Answer: Tom did not study hard

By contrapositive, if a student did not pass, they did not study hard.

How many squares are in a 3×3 grid (counting all sizes)?

Answer: 14

There are nine 1×1, four 2×2, and one 3×3 square, totaling 14.

Two workers can complete a job in 6 days. One worker leaves after 2 days. How many more days for the remaining worker to finish alone (working at half the combined rate)?

Answer: 8

Together they do 1/6/day; in 2 days they do 1/3; one worker does 1/12/day and needs 8 more days for the remaining 2/3.

Which logical fallacy is this? 'We can't trust John's business advice because he once filed for bankruptcy.'

Answer: Ad hominem

Attacking John's character or past rather than his actual advice is an ad hominem fallacy.