Home Maths JEE Main Full Syllabus Mock Test 75 Question New Syllabus. TEST 14 PCM Sum of all three digit numbers (no digit bei…
Maths JEE Main Full Syllabus Mock Test 75 Question New Syllabus. TEST 14 PCM Numeric Response
Published on: August 13, 2026

Sum of all three digit numbers (no digit being zero) having the property that all digits are perfect squares, is .

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Verified by Experts
The correct answer is:
13986

(13986)

The non-zero perfect square digits are 1,4 and 9.

1 can occur at units place in ways.
Sum due to 1 at units place is . Similarly, sum due to 1 at tens place is and sum due to 1 at hundreds place . We can deal with the digits 4 and 9 in a similar way.
Thus, sum of the desired number is .

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