Two cubes have volumes in the ratio 1:64. The ratio of the area of a
face of first cube to that of the other is
(a) 1:4 (b) 1:8 (c) 1:16 (d) 1:32
The ratio of radii of two cylinders is 1: 2 and heights are in the ratio
2:3. The ratio of their volumes is
(a) 1:6 (b) 1:9 (c) 1:3 (d) 2:9
Three cubes of metal whose edges are 6 cm, 8 cm and 10 cm
respectively are melted to form a single cube. The edge of the new
cube is
(a) 12 cm (b) 24 cm (c) 18 cm (d) 20 cm
A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into
a cube. The side of the cube is
(a) 6 cm (b) 8 cm (c) 12 cm (d) 24 cm
How many small cubes with edge of 20 cm each can be just
accommodated in a cubical box of 2 m edge?
(a) 10 (b) 100 (c) 1000 (d) 10000
If the radius of a cylinder is tripled but its curved surface area is
unchanged, then its height will be
(a) tripled (b) constant (c) one sixth (d) one third
Consider the following statements:
(a) Both acids and bases change colour of all indicators.
(b) If an indicator gives a colour change with an acid, it does not give a
change with a base.
(c) If an indicator changes colour with a base, it does not change colour
with an acid.
(d) Change of colour in an acid and a base depends on the type of the
indicator.
Which of these statements are correct?
(i) All four (ii) a and d (iii) b, c and d (iv) only d
Blue litmus paper is dipped in a solution. It remains blue. What is the
nature of the solution? Explain.
The dimensions of a godown are 40 m, 25 m and 10 m. If it is filled
with cuboidal boxes each of dimensions 2 m × 1.25 m × 1 m, then
the number of boxes will be
(a) 1800 (b) 2000 (c) 4000 (d) 8000
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