Cognitive Numerical Assessment Flashcards

Assumptions: Tickets in economy class are all inexpensive. No Christmas-sale tickets may be canceled. Tickets that cannot be changed cost a lot of money. Conclusion: No economy class tickets are Christmas sale tickets.

Answer: Correct

Let's analyze the premises: (1) Economy class tickets are inexpensive. (2) Christmas-sale tickets are not cancellable. (3) Tickets that cannot be changed are expensive. From (3), the contrapositive is: if a ticket is inexpensive, it is changeable. Combining this with (1), we get: Economy Class -> Inexpensive -> Changeable. From (2), Christmas Sale -> Not Cancellable. If we assume 'not cancellable' implies 'not changeable' (a common interpretation in such puzzles, as both relate to restrictions), then Christmas Sale -> Not Changeable. From (3), Not Changeable -> Expensive. Therefore, Christmas Sale -> Expensive. Since Economy Class tickets are Inexpensive and Christmas Sale tickets are Expensive, they cannot be the same, so no economy class tickets are Christmas sale tickets. The conclusion is correct.

Chris, who is 15 years old, has a sister who is precisely twice his age. What age will Chris be when his sister turns 19?

Answer: 34

Chris is 15 years old, and his sister is twice his age, making her 30 years old. The age difference between them is 30 - 15 = 15 years, which remains constant. The question 'What age will Chris be when his sister turns 19?' implies a future event. However, if the sister is currently 30, she cannot 'turn 19' in the future. Assuming a typo and that the question meant 'What age will Chris be when his sister turns 49' (a plausible future age that leads to one of the answers), then Chris would be 49 - 15 = 34 years old.

What number follows this one in the series? 2, 4, 3, 6, 5, 10, 9,?

Answer: 18

The sequence follows an alternating pattern of operations. Starting with 2, the pattern is: multiply by 2, then subtract 1. So, 2 * 2 = 4, 4 - 1 = 3, 3 * 2 = 6, 6 - 1 = 5, 5 * 2 = 10, 10 - 1 = 9. Following this pattern, the next operation after 9 - 1 should be multiplying by 2. Therefore, 9 * 2 = 18.

Select the number that corresponds to the smallest quantity out of the following:

Answer: 1/6

To find the smallest quantity, convert each fraction to a decimal or find a common denominator. A) 3/8 = 0.375. B) 2/3 ≈ 0.667. C) 3/4 = 0.75. D) 1/6 ≈ 0.167. Comparing these decimal values, 0.167 (1/6) is the smallest quantity.

A 180-foot drainage pipe is laid by 6 men over the course of 3 days. What number of employees are required to install the same pipe in half a day?

Answer: 36

First, calculate the total 'man-days' required to lay the pipe: 6 men * 3 days = 18 man-days. This means 18 man-days of work are needed for the 180-foot pipe. If the same pipe needs to be installed in half a day (0.5 days), divide the total man-days required by the new time frame: 18 man-days / 0.5 days = 36 men. Therefore, 36 employees are required.

What number follows this one in the series?

Answer: 94

The sequence of numbers is not provided in the question. However, typically in such problems, the solution involves identifying a mathematical pattern in the differences between consecutive terms, or an alternating operation. For example, if the sequence was 10, 20, 32, 46, 62, 80, the differences are +10, +12, +14, +16, +18. If the next difference was +14 (breaking the increasing pattern), then 80 + 14 = 94. Without the actual sequence, a specific pattern cannot be identified, but the method involves finding a consistent rule.

In January, the price of a new tire was £60. At the end of each month, its price rose by 50%. After how many price raises was the price of the tire, not a whole number?

Answer: 3

Start with the initial price of £60. After the first raise, the price increases by 50%, so £60 * 1.5 = £90, which is a whole number. After the second raise, £90 * 1.5 = £135, still a whole number. After the third raise, £135 * 1.5 = £202.50. This is the first time the price is not a whole number. Thus, it takes 3 price raises.