1. A 4 cm cube is cut into 1 cm cubes. What is the percentage increase in the surface area after such cutting?
(a) 4
(b) 300
(c) 75
(d) 400
2. If the diagonal and the area of a rectangle are 25 m and 168 m^2, what is the length of the rectangle?
(a) 17 m
(b) 31 m
(c) 12 m
(d) 24 m
3. A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the larger cube to that of the sum of the surface areas of the smaller cubes?
(a) 1 : 6
(b) 1 : 5
(c) 1 : 25
(d) 1 : 125
4. What will be the area of a circle whose perimeter is 88 cm?
(a) 576 cm^2
(b) 616 cm^2
(c) 636 cm^2
(d) Cannot be determined
5. If 1/4th area of a rectangular plot is 2700 sq m and the width of that plot is 90m. What is the ratio between the width and the length of the plot?
(a) 3 : 4
(b) 4 : 3
(c) 3 : 1
(d) 1 : 3
6. One angle of a right angle triangle is 35°. Which of the following is one of its angles?
(a) 45°
(b) 60°
(c) 55°
(d) Cannot be determined
7. If ∆ABC is an isosceles triangle with ∠C=90° and AC=5 cm, then AB is equal to
(a) 2.5 cm
(b) 5 cm
(c) 10 cm
(d) 5√2 cm
8. A chord of length 16 cm is drawn in a circle of radius 10 cm. The distance of the chord from the entire of the circle is
(a) 6 cm
(b) 9 cm
(c) 12 cm
(d) 8 cm
9. ∆ABC is right angled at A. If AB=24 mm and AB=7 mm, then BC is equal to
(a) 31 mm
(b) 25 mm
(c) 30 mm
(d) 28 mm
10. The value of sin 50°–sin 70°+sin 10° is
(a) 0
(b) 1
(c) 2
(d) None of these
Answers Key
1.(b)
2.(d)
3.(b)
4.(b)
5.(a)
6.(c)
7.(d)
8.(a)
9.(b)
10.(a)
1.(b)
2.(d)
3.(b)
4.(b)
5.(a)
6.(c)
7.(d)
8.(a)
9.(b)
10.(a)
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