Find the sum of all 2 digit numbers divisible by 3.
Choose the correct choice from the following answers.
A) 1565  B) 1665  C) 1300  D) 1448  E) 1465
All 2 digit numbers divisible by 3 are 12,15,18,21,……….. 99   This is an A.P with a = 12, and d = 3, Let it contain n terms   Then, 12 + (n – 1 ) *3 = 99, or n = ( 99-12) /3 + 1= 
<gadget id="calculator">( 99-12) /3 + 1</gadget>
<output>30</output>
30   Required sum= 30/2*( 12 + 99 ) = 15*111= 
<gadget id="calculator">15*111</gadget>
<output>1_665</output>
1665   ANSWER:1665
<result>B</result>
Find the sum of all 2 digit numbers divisible by 3.