Question 18/20: Set 10 - Try Out - General Reasoning (SNBT)

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Number 18

The number of visitors to store A for seven consecutive days is $30, 33, 35, 36, 39, 41,$ and $42$ people. Meanwhile, the number of visitors to store B during the same seven days is $7, 10, 17, 27, 44, 71,$ and $115$ people.

If the trend in visitor numbers is constant, how many visitors will be in store A and B on the eighth day?

$45$ and $186$ people

$45$ and $187$ people

$45$ and $188$ people

$46$ and $189$ people

$46$ and $190$ people

Explanation

We will analyze the pattern of visitor increases for each store separately to determine the number of visitors on the eighth day.

Store A Pattern Analysis

The visitor data for store A is $30, 33, 35, 36, 39, 41, 42$ . If we observe the differences between consecutive terms, there is a repeating addition pattern as follows:

30 \xrightarrow{+3} 33 \xrightarrow{+2} 35 \xrightarrow{+1} 36 \xrightarrow{+3} 39 \xrightarrow{+2} 41 \xrightarrow{+1} 42

The addition pattern is a constantly repeating $+3, +2, +1$ . Based on this pattern, to find the number of visitors on the eighth day, we must add $3$ to the last term (continuing the pattern sequence after $+1$ ).

\text{Visitors A} = 42 + 3 = 45 \text{ people}

Store B Pattern Analysis

The visitor data for store B is $7, 10, 17, 27, 44, 71, 115$ . This pattern follows the Fibonacci sequence rule, where the next term is obtained by summing the two previous terms.

7 + 10 = 17

10 + 17 = 27

17 + 27 = 44

27 + 44 = 71

44 + 71 = 115

Therefore, the number of visitors on the eighth day is the sum of the last two terms, which are $71$ and $115$ .

\text{Visitors B} = 71 + 115 = 186 \text{ people}

Thus, the number of visitors to store A and B on the eighth day is $45$ and $186$ people, respectively.

Command Palette

Number 18

Explanation

Store A Pattern Analysis

Store B Pattern Analysis