Logical Reasoning Flashcards

In a sequence 2, 5, 10, 17, 26, ___, what is the next number?

Answer: 37

The differences are 3, 5, 7, 9, 11 (increasing odd numbers), so 26 + 11 = 37.

All A are B. Some B are C. Which conclusion is definitely true?

Answer: Some A may be C

Since all A are B and some B are C, it is possible (but not certain) that some A are also C.

Which shape logically completes a pattern where the number of sides increases by one in each figure starting from a triangle?

Answer: Square (4 sides)

Starting from a triangle (3 sides), the next shape with one more side is a square (4 sides).

If P implies Q and Q implies R, what can be concluded about P and R?

Answer: P implies R

By transitivity, if P → Q and Q → R, then P → R.

A series reads: A, C, F, J, O, ___. What letter comes next?

Answer: U

The gaps are +2, +3, +4, +5, +6, placing the next letter 6 positions after O (15th), which is U (21st).

Five students stand in a row. Amy is to the left of Bob. Bob is to the left of Carol. Who cannot be standing at the far right?

Answer: Both Amy and Bob

Amy is left of Bob, and Bob is left of Carol, so neither Amy nor Bob can occupy the far right position.