In a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. If there are 5 rows in all and a total of 75 bricks in that wall, how many bricks does the bottom row contain?
Solution
Correct Answer: Option B
-ধরি, bottom row-তে x সংখ্যক brick আছে।
-তাহলে উপরের row-গুলিতে থাকবে: (x-1), (x-2), (x-3), এবং (x-4) brick।
-মোট brick সংখ্যা = x + (x-1) + (x-2) + (x-3) + (x-4) = 75
-সরল করে: 5x - 10 = 75
-5x = 85
-x = 17
*সুতরাং, bottom row-তে 17টি brick আছে।
*তাই সঠিক উত্তর হল (B) 17।
-তাহলে উপরের row-গুলিতে থাকবে: (x-1), (x-2), (x-3), এবং (x-4) brick।
-মোট brick সংখ্যা = x + (x-1) + (x-2) + (x-3) + (x-4) = 75
-সরল করে: 5x - 10 = 75
-5x = 85
-x = 17
*সুতরাং, bottom row-তে 17টি brick আছে।
*তাই সঠিক উত্তর হল (B) 17।
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