The choices of the fruits of 42 students in a class are as follows:
`A, O , B , M , A , G , B , G , A , G ,`
`B , M , A , G , M , A , B , G , M , B ,`
`A , O , M , O , G , B , O , M , G , A ,`
`A , B , M , O , M , G , B , A , M , O ,M,O,`
Where A, B, G, M and O stand for the fruits Apple, Banana, Grapes, Mango and Orange respectively.
Which two fruits are liked by an equal number of students?

Options

A. A and M
B. M and B
C. B and O
D. B and G

Answer

To solve the problem of determining which two fruits are liked by an equal number of students, we will follow these steps:

### Step 1: List the Fruits and Count the Preferences
We will first list the fruits and count how many students like each fruit based on the data provided.

The fruits are:
- A (Apple)
- B (Banana)
- G (Grapes)
- M (Mango)
- O (Orange)

### Step 2: Count Each Fruit's Preferences
We will go through the list of preferences and count how many times each fruit is mentioned.

From the data:
```
A, O, B, M, A, G, B, G, A, G,
B, M, A, G, M, A, B, G, M, B,
A, O, M, O, G, B, O, M, G, A,
A, B, M, O, M, G, B, A, M, O, M, O
```

Counting each fruit:
- **Apple (A)**: 9
- **Banana (B)**: 8
- **Grapes (G)**: 7
- **Mango (M)**: 10
- **Orange (O)**: 6

### Step 3: Create a Tally Table
We can represent this data in a tally table for better visualization:

| Fruit | Tally Marks | Number of Students |
|--------|-------------|--------------------|
| Apple | |||||||||| | 9 |
| Banana | ||||||||| | 8 |
| Grapes | |||||||| | 7 |
| Mango | |||||||||||| | 10 |
| Orange | ||||||| | 6 |

### Step 4: Identify Fruits with Equal Preferences
Now we will look for any two fruits that have the same number of students liking them.

From our counts:
- Apple: 9
- Banana: 8
- Grapes: 7
- Mango: 10
- Orange: 6

### Conclusion
The only two fruits that are liked by an equal number of students are **Banana (B)** and **Grapes (G)**, as both have 8 students liking them.

### Final Answer
Banana and Grapes are liked by an equal number of students.

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