Mensa IQ Test Mensa IQ Logical Deduction Problems 3

Question 1

Six people sit in a circle. Person A sits opposite Person D. Person B sits to the right of A. Who sits to the left of D?

Accepted Answer

The person opposite B

Answer

In a 6-person circle, opposite means 3 seats away. A is opposite D. B is to A's right. The person to D's left would be opposite to the person to A's right (B). So the person to D's left sits opposite B.

Question 2

If no X are Y, and all Z are X, what follows?

Accepted Answer

No Z are Y

Answer

Since all Z are X, every Z belongs to the X category. Since no X are Y, no members of X (including all Z) can be Y. Therefore no Z are Y. This is a valid categorical syllogism.

Question 3

A die shows 6 on top. What number is on the bottom?

Accepted Answer

1

Answer

On a standard die, opposite faces always sum to 7. If 6 is on top, the bottom must be 7 - 6 = 1. This holds for all faces: 1-6, 2-5, 3-4 are the opposite pairs.

Question 4

If Monday comes after Sunday, and the day after tomorrow is Monday, what day is today?

Accepted Answer

Saturday

Answer

If the day after tomorrow is Monday, then tomorrow is Sunday, and today is Saturday. Working backwards: Monday minus 2 days = Saturday.

Question 5

In a group, 60% like tea, 40% like coffee, and 15% like both. What percentage likes neither?

Accepted Answer

15%

Answer

Using the inclusion-exclusion principle: Tea∪Coffee = 60% + 40% - 15% = 85%. Those who like neither = 100% - 85% = 15%. The overlap of 15% must be subtracted to avoid double-counting.

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Mensa IQ Test Mensa IQ Logical Deduction Problems 3