If three numbers in the ratio 3 : 2: 5 be such that the sum of their squares is 1862, the middle number will be	Choose the most appropriate option
A) 10  B) 14  C) 18  D) 22  E) 24
Explanation:   Let the numbers be 3x, 2x and 5x.   Then,   9x + 4x + 25x =1862   ⇒ 38x = 1862   ⇒ x = 49 ⇒ x = 7.   middle number = 2x = 14   Option 14
<result>B</result>
If three numbers in the ratio 3 : 2: 5 be such that the sum of their squares is 1862, the middle number will be