Question
Find the sum of all the numbers between 200 and 1500,
which are divisible by 9, 12 and 15.Solution
LCM of 9, 12 and 15 = 180 So, desired numbers are: 360, 540, …, 1440 Number of terms = (1440 – 360)/180 + 1 = 7 Sum = (7/2) × [360 + 1440] = 6300
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If each side of an equilateral triangle is 12 cm, then its altitude is equal to:
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Find the inradius of an equilateral triangle whose altitude is 9√3 cm.
In the given figure, AB ∥ QP, AB = x, PQ = x + 10, RB = x/2, BP = x + 1. Find PQ.
