Question 6
Only one of the four options is correct. Write the correct one.
In a box, the ratio of red marbles to blue marbles is 7 : 4. Which of the following could be the total number of marbles in the box?
a) 8
b) 19
c) 21
d) 22
Given, the ratio of red marbles to blue marbles = 7 : 4
Let the number of red marbles = 7x
and blue marbles = 4x
Then, total number of marbles = 7x + 4x
= 11x
Total number of marbles must be multiple of 11
By observation,
∴ 11x=22
⇒ x=2
Hence, (d) is the correct option.