In School A, 1250 students are arranged in the largest possible solid square formation. How many students are left unarranged ?
25
A solid square formation with n rows and n columns uses exactly n² people. The largest such formation from a group is given by the largest perfect square not exceeding the group size; the rest are left over.
Step 1 — Locate 1250 between consecutive squares: \(35^2 = 1225 \le 1250 \lt 36^2 = 1296\).
Step 2 — The largest formation is 35 × 35 = 1225 students.
Step 3 — Students left unarranged = 1250 − 1225 = 25.
A 36 × 36 square would need 1296 students, which is more than 1250, so 1225 is the largest possible. The figures 30, 15 and 20 do not equal the leftover, and the remaining choice does not apply.
25 option is correct.
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