a2zinterviews

1.	50 men took a dip in water tank 40 m long and 20 m broad on a religious day. If the average displacements of water by a man is 4 m3, then the rise in the water level in the tank will be
	A.  20 cm
	B.  25 cm
	C.  35 cm
	D.  50 cm

Solution

Total number of water displaced = (4 ×50)m3 ‹=› 200m3 Rise in water level = (200 / 40×20)m = 0.25 m ‹=› 25 cm

2.	A cube of edge 5 cm is cut into cubes of each edge 1 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to
	A.  1 : 5
	B.  1 : 25
	C.  1 : 125
	D.  1 : 625

Solution

Required ratio =(6x1x1 / 6x5x5) ‹=› 1/ 25 ‹=› 1 : 125.

3.	The cost of painting the whole surface area of a cube at the rate of 13 paise per Sq.cm is Rs. 343.98. Then the volume of the cube is
	A.  8500 cm3
	B.  9000 cm3
	C.  9250 cm3
	D.  9261 cm3

Solution

Surface area = (34398 / 13) ‹=›2646cm3 ‹=›6a2= 2646 ‹=›a2= 441 ‹=›a = 21. So,volume =(21x21x21)cm3= 9261cm3.