Find the value of X if HCF of X, 3240 and 3600 is 36 and their LCM is 24x35x52x72
Find GCD of 0.36, 0.9 and 1.08
Find the LCM of 22, 54, 108, 135 and 198
Find the LCM of 24, 36 and 40
Find the HCF of
4x27x3125, 5x11x16x49x81 and 7x8x9x25
Find the HCF of 3x5x7x11, 2x2x2x2x3x3x5x5x5x7 and 2x2x2x3x3x3x5x5x7x7
Express 1095/1168 in simplest form
Express 252 as a product of primes
Jai and Veeru are running in opposite direction on a circular path at Eden Garden, Calcutta. Jai takes 5 minutes while Veeru takes 6 minutes to complete a lap. If they decided to run 6 laps then find the number of time they will cross each other.
Total time taken by Jai to complete a lap = 5 minutes
Total time taken by Veeru to complete a lap = 6 minutes
Total time taken by Jai to complete 6 laps = 5x6 = 30 minutes.
Total time taken by Veeru to complete 6 laps = 6x6 = 36 minutes.
HCF of 5 minutes and 6 minutes is 30 minutes.
So, they will cross only once.
Find the HCF of (x4 - y4) and (x6 - y6).
x4 - y4
x3 - y3
x2 - y2
x - y
f(x) = (x4 - y4)
= (x2)2 - (y2)2
= (x2 - y2)(x2 + y2)
= (x - y)(x + y)(x2 + y2)
g(x) = (x6 - y6)
= (x3)2 - (y3)2
= (x3 - y3)(x3 + y3)
= (x - y)(x2 - y2 + xy) (x + y)(x2 + y2 - xy)
= (x - y)(x + y) (x2 - y2 + xy)(x2 + y2 - xy)
Common factor in f(x) and g(x) = (x - y)(x + y) = (x2 - y2)
Therefore, HCF = (x2 - y2)