Mathematics · 2019
JEE Main · 9 April 2019, Shift 2 · Q66
Some identical balls are arranged in rows to form an equilateral triangle. The first row consists of one ball, the second row consists of two balls…
Some identical balls are arranged in rows to form an equilateral triangle. The first row consists of one ball, the second row consists of two balls and so on. If $\displaystyle 99$ more identical balls are added to the total number of balls used in forming the equilateral triangle, then all these balls can be arranged in a square whose each side contains exactly $\displaystyle 2$ balls less than the number of balls each side of the triangle contains. Then the number of balls used to form the equilateral triangle is :
Official answer
(3)
$\displaystyle 190$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.