Crossover Aptitude Test Logical Reasoning 3

Question 1

Five people sit in a row. Alex is to the left of Beth. Beth is to the left of Carl. Dana is to the right of Carl. Who is second from the left?

Accepted Answer

Beth

Answer

The order from left to right is Alex, Beth, Carl, Dana, placing Beth second.

Question 2

Which number best completes the series: 2, 5, 10, 17, 26, ___?

Accepted Answer

37

Answer

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

Question 3

Statement: 'If it rains, the ground gets wet.' The ground is not wet. What can you conclude?

Accepted Answer

It did not rain

Answer

By modus tollens: if P→Q and ¬Q, then ¬P — since the ground is not wet, it did not rain.

Question 4

A box contains 3 red, 5 blue, and 2 green marbles. Without looking, what is the minimum number of draws needed to guarantee a blue marble?

Accepted Answer

6

Answer

In the worst case you draw all 3 red and 2 green first (5 non-blue), so the 6th draw must be blue.

Question 5

All mammals are warm-blooded. Whales are mammals. Which is the correct conclusion?

Accepted Answer

Whales are warm-blooded

Answer

Since all mammals are warm-blooded and whales are mammals, whales must be warm-blooded.

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