A fruit shop consists of only two types of fruits namely oranges and mangoes. The number of oranges is three times the number of mangoes. Which of the following numbers CANNOT represent the total number of fruits in the shop?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 42
The fruit shop has two types of fruit mangoes and oranges.
The number of oranges is three times the number of mangoes.
Orange = 3 × mangoes
Total no. of fruits = oranges + mangoes
Total no. of fruits = 3 × mangoes + mangoes
Total no. of fruits = 3 mangoes + mangoes
Total no. of fruits = 4 mangoes
Option 1 Total no. of fruits = 44
Total no. of fruits = 4 mangoes
44 = 4 mangoes
mangoes = 11
oranges = 3 (11) = 33
Option 2 Total no. of fruits = 42
Total no. of fruits = 4 mangoes
42 = 4 mangoes
42 cannot completely divide by 4 so 42 cannot be the total number of fruits.
Option 3 Total no. of fruits = 48
Total no. of fruits = 4 mangoes
48 = 4 mangoes
mangoes = 12
oranges = 3 (12) = 36
Option 4 Total no. of fruits = 40
Total no. of fruits = 4 mangoes
40 = 4 mangoes
mangoes = 10
oranges = 3 (10) = 30
So, option 2 is correct.
Hence, the correct answer is 42.