# FREE PI Cognitive Numerical Assessment Questions and Answers

#### 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?

Explanation:

Chris's sister is now 30 years old because she is two times his age (15*2).

In four years, Chris will turn 19, making his sister (30 + 4) = 34.

#### 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?

Explanation:

Recall that a 50% increase in price is equivalent to multiplying by 1.5. (Z+50%Z)=(Z+Z50/100)=(Z+Z/2)=1.5Z.

£60×1.5=60×(1+0.5)=60+30=90

£90×1.5=90×(1+0.5)=90+45=135

£1351.5= 135(1+0.5)= 135+67.5, thus we must end here. Three price increases were noted.

Consequently, the right response is 3.

#### 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.

Explanation:

When faced with three assumptions, we must begin by examining the assumptions in pairs that cover the same subjects.

The first presumption, which can be expressed as "EC Cheap," is that all tickets in economy class will be inexpensive. It is simpler to examine the third statement before the second assumption because it also uses the word cheap: Tickets that cannot be canceled are not inexpensive. This presumption can be rewritten as cheap canceled. Now, we may combine the two sentences into one: "Cheap tickets are among the things that can be canceled," according to the phrase "EC Cheap Cancelled." This precludes the notion of a Christmas sale ticket that can be canceled and separates Christmas sale tickets into a group that cannot be linked to EC Cheap Cancelled in the second clause, which read: "No Christmas-sale tickets can be canceled." The suggested conclusion was that no tickets for economy class qualify for the Christmas sale. This conclusion supports our findings since it indicates that business class tickets and tickets purchased during the Christmas sale are two distinct things. The conclusion is accurate as a result.

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

Explanation:

Such questions can be approached in a few different ways. One of them is to attempt a rapid percentage conversion of the fractions. The ratio of the denominator to the nominator can also be used to assess the magnitude of the fraction. We are aware that the number decreases as the denominator increases. It is simplest to begin with 1/6 because it has the largest denominator, and there is only one component of that total (1 out of 6).

All other fractions can be rapidly eliminated because they have larger nominators and smaller denominators.

2/3 ~ 66%

3/8 ~ 35%

1/6 ~16%

3/4 = 75%

#### What number follows this one in the series?

Explanation:

This series follows the formula: +3*1, +3*2, +3*4, +3*8,... the following figure should be [46+(3*16)] =94.

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

Explanation:

There are other methods to explain the logic in this series, but we'll concentrate on the most straightforward one:

Over the course of the series, the pattern is 2:1.

2, 4 (2×2), 3 (4-1), 6 (3×2), 5 (6-1), 10 (5×2), 9 (10-1), 18 (9×2)

Answer 18 is accurate as a result.

#### 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?

Explanation:

Unless otherwise stated, you can assume that all participating machines and humans have the same work pace when answering questions about it.

The task will take 6 workers 3 days to complete. How many workers will be needed to finish the identical task in just half a day? is the question posed?

This task's given time has been cut down by a factor of (3/0.5) = 6. So, in order to do the same task with the same output per worker, we must compensate six times as many workers.

So, to get to 36 workers, we multiply 6 employees by a ratio of 6.