46: A point is selected at random inside a rectangle and perpendiculars are drawn on each side from the point. The sum of these perpendiculars is 24 cm. If the length of the rectangle is 3 times the width, the perimeter of the rectangle will be

(a) 36 cm

(b) 42 cm

(c) 24 cm

(d) 48 cm
47: Consider the following statements :

Glass can be etched or scratched by

I. diamond.
II. hydrofluoric acid.
III. aquaregia.
IV. cone, sulphuric acid.

Which of these statements are correct ?

(a) I and IV

(b) II and III

(c) I and II

(d) II and IV
48: The minimum possible temperature beyond which matter cannot be cooled is

(a) -98.10° C

(b) -100.00° C

(c) -273.15° C

(d) -459.40° C
49: Two ladies simultaneously leave cities A and B connected by a straight road and travel towards each other. The first lady travels 2 km/hr faster than the second lady and reaches B one hour before the second lady reaches A. The two cities A and B are 24 km apart. How many kilometers does each lady travel in one hour?
(a) 5 km, 3 km
(b) 7 km, 5 km
(c) 8 km, 6 km
(d) 16 km, 14 km
50: Consider the following statements:

1. In India, State Governments do not have the power to auction non-coal mines.
2. Andhra Pradesh and Jharkhand do not have gold mines.
3. Rajasthan has iron ore mines.

Which of the statements given above is/are correct?

(a) 1 and 2
(b) 2 only
(c) 1 and 3
(d) 3 only