JEE Main 2022 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 29 July 2022, Shift 1, Maths Q29

Question 29 of 90 in this shift, Maths question 29 of 30, Section B.

Let

S = \{4, 6, 9\}

and

T = \{9, 10, 11, \ldots, 1000\}

. If

A = \{a_1 + a_2 + \ldots + a_k : k \in \mathbf{N},\ a_1, a_2, a_3, \ldots, a_k \in S\}

, then the sum of all the elements in the set

T - A

is equal to __________.

Official answer

NTA final key.