Concept:A number divisible by 90 must satisfy both divisibility by 10 and by 9.Explanation:Since 90=9×10, the number 761xy must be divisible by 10 and by 9.For divisibility by 10, the unit digit y must be 0. So y=0.Now the number becomes 761x0.For divisibility by 9, the sum of all digits must be a multiple of 9.Sum =7+6+1+x+0=14+x.The smallest multiple of 9 greater than 14 is 18.Thus 14+x=18, giving x=4.Therefore x+y=4+0=4.Answer:4 (Option D)