APPSC Group-I Prelims 2024 Paper II · Question 11

Question 11 of the APPSC Group-I Prelims 2024 Paper II (17 March 2024). Try it first, then open the answer and explanation.

1. Prelims 2024 · P-II · Q11 · Mental Ability & Reasoning · Numbers & Series

   The sum of all the three-digit natural numbers, which on being divided by 5, leave a remainder equal to 4 is XXYZA. What is the value of Y + Z?

   1. 9
   2. 2
   3. 14
   4. 18

   5తో భాగించబడినప్పుడు, 4కి సమానమైన శేషం మిగిలిచే అన్ని మూడు అంకెల సహజ సంఖ్యల మొత్తం XXYZA. అయితే Y + Z విలువ ఎంత ?

   1. 9
   2. 2
   3. 14
   4. 18
   Show answer

   Answer: (1) 9

   సమాధానం: (1) 9

   The numbers are 104, 109, ..., 999: 180 terms with sum 180 × (104 + 999)/2 = 99270 = XXYZA. So Y = 2, Z = 7 and Y + Z = 9.

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