Mensa Mensa IQ Logical Deduction Problems 4

Question 1

All surgeons are doctors. Some doctors are researchers. Which conclusion must be true?

Accepted Answer

Some surgeons may be researchers

Answer

Since only 'some' doctors are researchers, surgeons (a subset of doctors) may or may not be researchers.

Question 2

In a row of 5 people, Alice is to the right of Bob, Carol is between Bob and Alice, and Dave is to the left of Bob. Who is second from the left?

Accepted Answer

Bob

Answer

The order is Dave, Bob, Carol, Alice, with one position remaining; Bob is second from the left.

Question 3

If no A is B, and all C is B, what can be concluded?

Accepted Answer

No C is A

Answer

Since all C is B and no A is B, C and A cannot overlap — no C is A.

Question 4

A sequence follows the rule: each term = previous term × 2 − 1. If the third term is 7, what is the first term?

Accepted Answer

2

Answer

Working backwards: term2 = (7+1)/2 = 4, term1 = (4+1)/2 = 2.5 — wait, let's verify forward: 2→3→5≠7; correct first term giving 7 at position 3 is 2 only if rule is ×2+1: 2→5→11. With ×2−1: term1=4 gives 4→7→13, so term1=4.

Question 5

Three boxes contain only apples, only oranges, or a mix. All labels are wrong. The box labeled 'Mix' contains only apples. What does the box labeled 'Oranges' contain?

Accepted Answer

A mix of both

Answer

Since 'Mix' box has apples and 'Apples' label is wrong, 'Apples' box has oranges, leaving 'Oranges' box with the mix.

Mensa Practice Test

Mensa Practice Test

Mensa Mensa IQ Logical Deduction Problems 4