Question 5/20: Set 5 - Try Out - General Reasoning (SNBT)

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The following table shows motorcycle sales data (in millions) from three different factories from 2013—2016.

Year	Factory X	Factory Y	Factory Z
2013	$2.5$	$4.0$	$0.4$
2014	$2.3$	$4.6$	$0.2$
2015	$1.9$	$5.0$	$0.1$
2016	$1.3$	$5.2$	$0.05$

Based on the data trends above, which prediction for motorcycle sales in 2017 is incorrect?

Factory X motorcycle sales of $500,000$ units

Factory Y motorcycle sales of $5,200,000$ units

Factory Z motorcycle sales of $250,000$ units

Factory Y motorcycle sales are four times Factory X sales in 2016

The difference in Factory X motorcycle sales is $800,000$ units

We need to analyze the sales pattern of each factory to predict sales for 2017 and find the incorrect statement.

Factory X sales data: $2.5, 2.3, 1.9, 1.3$ .

Let's look at the decrease differences:

2.3 - 2.5 = -0.2

1.9 - 2.3 = -0.4

1.3 - 1.9 = -0.6

The decrease grows larger by $-0.2$ each year. Thus, the decrease for 2017 is predicted to be $-0.8$ .

Predicted X sales for 2017:

1.3 - 0.8 = 0.5 \text{ million} = 500,000 \text{ units}

Difference in sales between 2016 and 2017:

1.3 - 0.5 = 0.8 \text{ million} = 800,000 \text{ units}

The statements regarding X sales being 500,000 units and the difference being 800,000 units are TRUE.

Factory Y sales data: $4.0, 4.6, 5.0, 5.2$ .

Let's look at the increase differences:

4.6 - 4.0 = +0.6

5.0 - 4.6 = +0.4

5.2 - 5.0 = +0.2

The increase diminishes by $0.2$ each year. Thus, the increase for 2017 is predicted to be $0$ .

Predicted Y sales for 2017:

5.2 + 0 = 5.2 \text{ million} = 5,200,000 \text{ units}

The statement that Y sales are 5,200,000 units is TRUE.

Let's check the comparison with X sales in 2016 ( $1.3$ million):

4 \times 1.3 = 5.2 \text{ million}

The statement that Y sales are four times X sales in 2016 is TRUE.

Factory Z sales data: $0.4, 0.2, 0.1, 0.05$ .

This pattern is a geometric sequence with a ratio of $\frac{1}{2}$ (halved each year).

0.4 \div 2 = 0.2

0.2 \div 2 = 0.1

0.1 \div 2 = 0.05

Predicted Z sales for 2017:

0.05 \div 2 = 0.025 \text{ million} = 25,000 \text{ units}

The statement that Z sales are $250,000$ units is FALSE (it should be $25,000$ units).

Since the question asks for the statement that is incorrect, the prediction about Z sales is the answer.

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