Gamified Cognitive Challenges Flashcards

The table below shows the quarterly unit sales for two new products, the AlphaWidget and the BetaGadget, in their first year of release. | Quarter | AlphaWidget Sales | BetaGadget Sales | |---|---|---| | Q1 | 500 | 800 | | Q2 | 650 | 920 | | Q3 | 700 | 850 | | Q4 | 850 | 1100 | What was the approximate percentage increase in sales for the AlphaWidget from Q1 to Q4?

Answer: 70.0%

To calculate the percentage increase, use the formula: ((New Value - Old Value) / Old Value) * 100. For the AlphaWidget, the Old Value (Q1) is 500 and the New Value (Q4) is 850. The calculation is ((850 - 500) / 500) * 100 = (350 / 500) * 100 = 0.7 * 100 = 70.0%.

Three colleagues, Alex, Beth, and Carlos, work on three different floors: 5, 7, and 9. Given the following statements, on which floor does Alex work? 1. Alex does not work on floor 7. 2. Carlos works on a higher floor than Beth. 3. Beth does not work on the lowest floor.

Answer: Floor 5

From clue 3, Beth is not on floor 5. From clue 2, Carlos is on a higher floor than Beth. If Beth were on floor 9, this would be impossible. Therefore, Beth must be on floor 7. This means Carlos must be on floor 9. Since floors 7 and 9 are taken, Alex must work on floor 5. This is consistent with clue 1.

A solid black circle undergoes a sequence of three transformations. First, it is mirrored across a vertical axis. Second, a smaller white circle is placed in its center. Third, it is rotated 180 degrees. Which of the following describes the final figure?

Answer: A solid black circle with a smaller white circle in the center.

Let's trace the steps. Step 1: Mirroring a solid black circle across a vertical axis results in the same solid black circle. Step 2: A smaller white circle is placed in its center. The figure is now a black circle with a white circle inside. Step 3: Rotating this figure 180 degrees does not change its appearance due to its rotational symmetry. The final figure remains a solid black circle with a smaller white circle in the center.

Machine A can complete a production order in 6 hours. Machine B can complete the same order in 4 hours. If both machines work together at their respective constant rates, how many hours will it take to complete the order?

Answer: 2.4 hours

The rate of Machine A is 1/6 of the order per hour. The rate of Machine B is 1/4 of the order per hour. Their combined rate is the sum of their individual rates: 1/6 + 1/4 = 2/12 + 3/12 = 5/12 of the order per hour. To find the total time, take the reciprocal of the combined rate: Time = 1 / (5/12) = 12/5 = 2.4 hours.

Which of the following word pairs does NOT share the same logical relationship as the others?

Answer: Conductor:Orchestra

The relationship in the first three pairs is 'creator to creation' (an author creates a book, a composer creates a symphony, a choreographer creates a dance). The relationship in 'Conductor:Orchestra' is 'leader to group led'; the conductor directs the orchestra but does not create it in the same way.

A standard six-sided die has opposite faces that sum to 7 (e.g., 1 is opposite 6, 2 is opposite 5). Which of the following arrangements, if folded, could NOT form a standard die because two faces that should be opposite are shown adjacent to each other?

Answer: A net showing the '2' face adjacent to the '5' face.

On a standard die, the numbers 2 and 5 are on opposite faces. In a valid net of a cube, opposite faces are never adjacent (touching sides). Therefore, a net showing the '2' face and the '5' face adjacent to each other could not be folded into a standard die. The other pairs (2&6, 1&3, 4&6) are not opposite pairs and can be adjacent.