Published by:
CGP EDU Academic Team
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
.
Text Solution
Verified by ExpertsThe 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
.
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
PHYSICS
SINGLE CORRECT MCQ
The binding energies per nucleon for a deuteron and an α-particle are a…
The logic circuit shown below has the input waveforms ' A ' and ' B ' as shown. Pick out the correc…
A particle of mass is moving with a uniform speed in the XOY plane along the line . The magnitud…
The depth d at which the value of acceleration due to gravity becomes times the value at the surfa…
A stress of is appleid to a steel rod of length 1 m along its length. Its Young's modulus is . Th…
A parallel plate air capacitor has a capacitance C. When it is half filled with a dielectric of die…