a2zinterviews

31.	Three different containers contain 496 litres, 403 litres and 713 litres of mixtures of milk and water respectively. What biggest measure can measure all the different quantities exactly?
	A.  1 litres
	B.  31 litres
	C.  11 litres
	D.  21 litres

Solution

Required measurement = (H.C.F. of 496, 403, 713)litres = 31 litres.

32.	The least number which when increased by 5 is divisible by each one of 24, 32, 36 and 54 is
	A.  427
	B.  543
	C.  859
	D.  869

Solution

Required number = (L.C.M. of 24,32,36,54) - 5 = 864 - 5 = 859.

33.	The greatest number of four digits which is divisible by 15, 25, 40 and 75 is
	A.  9000
	B.  9200
	C.  9400
	D.  9600

Solution

Greatest number of 4 digits is 9999. L.C.M. of 15, 25, 40 and 75 is 600. On dividing 9999 by 600, the remainder is 399. Therefore Required number = (9999 - 399) 9600.