Question

Observe the picture table given below, and identify the possible numbers of each type of pebbles based on the number of pebbles each symbol represents.
(Hint: There are multiple correct answers.)

• A. 1 symbol = 10 pebbles, white pebbles: 80, brown pebbles: 70; red pebbles: 50
• B. 1 symbol = 20 pebbles, white pebbles: 180, brown pebbles: 140; red pebbles: 100
• C. 1 symbol = 5 pebbles, white pebbles: 45, brown pebbles: 35; red pebbles: 50
• D. 1 symbol = 2 pebbles, white pebbles: 18, brown pebbles: 14; red pebbles: 10

Answer 1

Answer: (B), (D)

1 symbol = 2 pebbles, white pebbles: 18, brown pebbles: 14; red pebbles: 10

Say: We have to observe the given picture table, and identify which of the given options can be correct for the number of pebbles each symbol represents and the number of each type of pebble.

Steps:
- According to the given table, the number of white pebbles is represented by 9 symbols, brown pebbles by 7 symbols, and red pebbles by 5 symbols.
- Let us consider the options one by one to identify the correct answers.
- As per option A, 1 symbol represents 10 pebbles.
- As per the number of symbols representing each type of pebbles, let us find out the number of each type of pebbles.
- Number of white pebbles: 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 = 90
- Number of brown pebbles: 10 + 10 + 10 + 10 + 10 + 10 + 10 = 70
- Number of red pebbles: 10 + 10 + 10 + 10 + 10 = 50
- The number of white pebbles is incorrect in the option. So, this cannot be the correct answer.
- As per option B, 1 symbol represents 5 pebbles.
- As per the number of symbols representing each type of pebbles, let us find out the number of each type of pebbles.
- Number of white pebbles: 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 45
- Number of brown pebbles: 5 + 5 + 5 + 5 + 5 + 5 + 5 = 35
- Number of red pebbles: 5 + 5 + 5 + 5 + 5 = 25
- The number of red pebbles is incorrect in the option.
- So, this cannot be the correct answer.
- As per option C, 1 symbol represents 20 pebbles.
- As per the number of symbols representing each type of pebbles, let us find out the number of each type of pebbles.
- Number of white pebbles: 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 = 180
- Number of brown pebbles: 20 + 20 + 20 + 20 + 20 + 20 + 20 = 140
- Number of red pebbles: 20 + 20 + 20 + 20 + 20 = 100
- All the calculated numbers of each type of pebbles match with the number given in the option.
- So, this can be the correct answer.
- As per option D, 1 symbol represents 2 pebbles.
- As per the number of symbols representing each type of pebbles, let us find out the number of each type of pebbles.
- Number of white pebbles: 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 18
- Number of brown pebbles: 2 + 2 + 2 + 2 + 2 + 2 + 2 = 14
- Number of red pebbles: 2 + 2 + 2 + 2 + 2 = 10
- All the calculated numbers of each type of pebbles match with the numbers given in the option.
- So, this also can be the correct answer. Hence, options C and D are the correct answer.