Q1. The perimeters of two squares are 24 cm and 32 cm. The perimeter (in cm) of a third square which is equal in area to the sum of the areas of the first and second square is:
(a) 45
(b) 40
(c) 32
(d) 48
Q2. The length of a rectangular garden is 12 m and its breadth is 5 m. Find the length of the diagonal of a square garden having the same area as that of the rectangular garden.
(a) 2√30 m
(b) √13 m
(c) 13 m
(d) 8√15 m
Q3. The base of a triangle is 15 cm and height is 12 cm. The height of another triangle of double the area having base 20 cm is:
(a) 9 cm
(b) 18 cm
(c) 8 cm
(d) 12.5 cm
Q4. A circular wire of radius 21 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 6: 5. Assuming π=22/7, the area enclosed by the rectangle is:
(a) 540 cm2
(b) 1080 cm2
(c) 2160 cm2
(d) 4320 cm2
Q5. A playground is in the shape of a rectangle, A sum of Rs. 1000 was spent to make the ground usable at the rate of 25 paisa per m^2. The breadth of the ground is 50 m. If the length of the ground is increased by 20 m, what will be the expenditure in rupees at the same rate per m^2?
(a) 1,250
(b) 1,000
(c) 1,500
(d) 2,250
Q6. Diameter of a wheel is 3 m. The wheel revolves 28 times in a minute. To cover 5,280 m distance, the wheel will take (take π=22/7):
(a) 10 minute
(b) 20 minute
(c) 30 minute
(d) 40 minute
Q7. The difference of the areas of two squares drawn on 2 line segments of different lengths is 32 cm^2. Find the length of the greater line segment, if one is longer than the other by 2 cm.
(a) 7 cm
(b) 9 cm
(c) 11 cm
(d) 16 cm
Q8. The area of the circumcircle of an equilateral triangle is 3π cm^2. The perimeter of the triangle is:
(a) 3√3 cm
(b) 9 cm
(c) 18 cm
(d) 3 cm
Solutions
1.B
2.A
3.B
4.B
5.A
6.B
7.B
8.B