A fruit seller has oranges, apples and guavas in the ratio 2:5:8. The number of apples is more than the number of oranges by a number that is a multiple of both 6 and 11. What is the minimum number of fruits in his shop?	Choose the correct answer.
A) 240  B) 360  C) 120  D) 90  E) 80
DETAILED SOLUTION   Let the number of fruits be 2k, 5k and 8k   Given, 5k – 2k = multiple of 6 and 8   L120M of 6 and 8 is 24   Let’s say 5k – 2k = 24n   3k = 24n   For k to be a natural number and have minimum value, n should be equal to 1   3k = 24   Or k = 8   Hence, the number of fruits = 2k + 5k + 8k   = 15 * 82  + 5  + 8= 
<gadget id="calculator">2  + 5  + 8</gadget>
<output>15</output>
15 * 8= 
<gadget id="calculator">15 * 8</gadget>
<output>120</output>
120   120orrect Answer:120
<result>C</result>
A fruit seller has oranges, apples and guavas in the ratio 2:5:8. The number of apples is more than the number of oranges by a number that is a multiple of both 6 and 11. What is the minimum number of fruits in his shop?