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Question

Three digit numbers ,in which the middle digit is a perfect square, are formed using the digits 0 to 9. Their sum is

A
194220
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B
270540
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C
170055
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D
none of these
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Solution

The correct option is A 194220
Perfect square digits :0,1,4,9
Number of times they occur =4×10×9=360

Sum of unit digits =36(0+1+2+...+9)=1620
Sum of tenth digits =90(0+1+4+9)=1260
Sum of hundredth digits =40(1+2+....+9)=1800

Sum of all required 3 digit numbers =1800×100+1260×10+1620=194220

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