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Aptitude · Q87

Number System

Competitive Exams · Aptitude · question 87

Q87

A gardener plants his garden with 5550 trees and arranged them so that there is one plant more per row as there are rows then number of trees in a row is:

A.
56
B.
74
C.
76
D.
75
Answer

Answer: Option D

Solution

Answer: Option D
Solution:
Let there be n rows, then number of trees in each row = (n + 1)
Thus, total number of trees,
n × (n +1) = 5550
Now, at this moment this problem can be solved in two ways. First by finding the roots of quadratic equation. Second, by using the values from options.
74 × 75 = 5550
i.e. (n + 1) = 75