Let x be the least number divisible by 24, 30, 36, 45 and 50 and x is also a perfect square. What is the remainder when x is divided by 233?
(a) 55
(b) 105
(c) 170
(d) 103
Sol:
L.C.M of (24, 30, 36, 45, 50) = 1800 = 900× 2
For a perfect square = 900 × 2 × 2 = 3600
Remainder=3600/233=15 105/233
