What is the sum of the digits of the number which is a perfect square and…
2019
What is the sum of the digits of the number which is a perfect square and nearest to 58692?
- A.
26
- B.
24
- C.
28
- D.
25
Attempted by 101 students.
Show answer & explanation
Correct answer: C
Key idea: find the perfect square nearest to 58692 by checking squares around its square root.
Estimate nearby squares: 240^2 = 57600, 242^2 = 58564, 243^2 = 59049.
Compute distances from 58692: |58692 − 58564| = 128 and |59049 − 58692| = 357.
58564 is closer, so the nearest perfect square is 58564 (which is 242^2).
Sum the digits of 58564: 5 + 8 + 5 + 6 + 4 = 28.
Answer: 28