Let S = {4, 6, 9} and T = {9, 10, 11, ..., 1000}. If A = { : k ∈ N, ∈ S}, then the sum of all the elements in the set T − A is equal to _______.
← JEE Main 2022 · 29 Jul · Shift 1
MathematicsInteger+4 / -1Question 29 of 90
JEE Main 2022 · 29 Jul · Shift 1, Mathematics question 29
Answer and worked solution
Official answer: 11
Even numbers. Fours and sixes make every even number from 4 up.
Odd numbers need an odd number of 9s: , then , , and every odd number from 13 on. In T, only 11 is missed.
Answer: 11
Topics:Number systems