1. The perimeter of a triangular field is 450 metres and its sides are in the ratio 13 : 12 : 5. Find the area of the field.

(a) 6780 sq. m.

(b) 7000 sq. m.

(c) 6750 sq. m.

(d) 7680 sq. m.

2. Four walls of a room can be covered fully by 70 square paper pieces each of dimensions 2 m x 2 m. The length of the room is 18 m and its breadth is twice its height. Find the cost of flooring at the rate of Rs. 20 per sq. metre.

(a) Rs. 3600

(b) Rs. 3500

(c) Rs. 3800

(d) Rs. 4000

(a) 6780 sq. m.

(b) 7000 sq. m.

(c) 6750 sq. m.

(d) 7680 sq. m.

2. Four walls of a room can be covered fully by 70 square paper pieces each of dimensions 2 m x 2 m. The length of the room is 18 m and its breadth is twice its height. Find the cost of flooring at the rate of Rs. 20 per sq. metre.

(a) Rs. 3600

(b) Rs. 3500

(c) Rs. 3800

(d) Rs. 4000

3. A semicircle is drawn with AB as its diameter. From C, a point on AB, a line perpendicular to AB is drawn meeting the circumference of the semicircle at D. Given that AC = 2 cm and CD = 6 cm, the area of the semicircle (in sq. cm) will be (CAT 2006)

(a) 32π

(b) 50π

(c) 40.5π

(d) 81π

4. The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 800 per sq. metre. (IGNOU 2003)

(a) Rs. 15,000

(b) Rs. 15,550

(c) Rs. 15,600

(d) Rs. 16,500

5. Area of a trapezium formed by x-axis; y-axis; and the lines 3x + 4y = 12 and 6x + 8y = 60 is : (SSC CGL 2012)

(a) 37.5 sq. unit

(b) 31.5 sq. unit

(c) 48 sq. unit

(d) 36.5 sq. unit

6. The perimeter of a rhombus is 146 cm and one of its diagonals is 55 cm. The other diagonal is (SSC CGL 2012)

(a) 92 cm

(b) 73 cm

(c) 48 cm

(d) 72 cm

7. A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, then what is the area of the parking space in square feet ? (MAT 2003)

(a) 46

(b) 81

(c) 126

(d) 252

8. If the length of a chord of a circle at a distance of 12 cm from the centre is 10 cm, then the diameter of the circle is (SSC CGL 2011)

(a) 26 cm

(b) 30 cm

(c) 13 cm

(d) 15 cm

9. A park, square in shape, has a 3 metre wide road inside it running along its sides. The area occupied by the road is 1764 square metres. What is the perimeter along the outer edge of the road ?

(a) 576 metres

(b) 600 metres

(c) 640 metres

(d) Data inadequate

10. An error of 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is : (CDS 2003)

(a) 2%

(b) 2.02%

(c) 4%

(d) 4.04%

11. At the centres of two circles, two arcs of equal length subtend angles of 60° and 75° respectively. The ratio of the radii of the two circles is (SSC LDC/DEO 2011)

(a) 5 : 2

(b) 5 : 4

(c) 3 : 2

(d) 2 : 1

12. The length of a room floor exceeds its breadth by 20 m. The area of the floor remains unaltered when the length is decreased by 10 m but the breadth is increased by 5 m. The area of the floor (in square metres) is : (SSC LDC/DEO 2011)

(a) 280

(b) 325

(c) 300

(d) 420

13. From a rectangular sheet of sides 18 cm and 14 cm, a semi-circular portion with smaller side as diameter is taken out. Then, the area of the remaining sheet will be (CDS-II 2015)

(a) 98 sq. cm

(b) 100 sq. cm

(c) 108 sq. cm

(d) 175 sq. cm

14. ABCD is a square. If the sides AB and CD are increased by 30%, sides BC and AD are increased by 20%, then the area of the resulting rectangle exceeds the area of the square by

(a) 50%

(b) 52%

(c) 54%

(d) 56%

15. The ratio of the outer and inner perimeters of a circular path is 23 : 22. If the path is 5 m wide, then the diameter of the inner circle is (CDS-I 2015)

(a) 220 m

(b) 110 m

(c) 55 m

(d) 165 m

(a) 32π

(b) 50π

(c) 40.5π

(d) 81π

4. The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 800 per sq. metre. (IGNOU 2003)

(a) Rs. 15,000

(b) Rs. 15,550

(c) Rs. 15,600

(d) Rs. 16,500

5. Area of a trapezium formed by x-axis; y-axis; and the lines 3x + 4y = 12 and 6x + 8y = 60 is : (SSC CGL 2012)

(a) 37.5 sq. unit

(b) 31.5 sq. unit

(c) 48 sq. unit

(d) 36.5 sq. unit

6. The perimeter of a rhombus is 146 cm and one of its diagonals is 55 cm. The other diagonal is (SSC CGL 2012)

(a) 92 cm

(b) 73 cm

(c) 48 cm

(d) 72 cm

7. A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, then what is the area of the parking space in square feet ? (MAT 2003)

(a) 46

(b) 81

(c) 126

(d) 252

8. If the length of a chord of a circle at a distance of 12 cm from the centre is 10 cm, then the diameter of the circle is (SSC CGL 2011)

(a) 26 cm

(b) 30 cm

(c) 13 cm

(d) 15 cm

9. A park, square in shape, has a 3 metre wide road inside it running along its sides. The area occupied by the road is 1764 square metres. What is the perimeter along the outer edge of the road ?

(a) 576 metres

(b) 600 metres

(c) 640 metres

(d) Data inadequate

10. An error of 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is : (CDS 2003)

(a) 2%

(b) 2.02%

(c) 4%

(d) 4.04%

11. At the centres of two circles, two arcs of equal length subtend angles of 60° and 75° respectively. The ratio of the radii of the two circles is (SSC LDC/DEO 2011)

(a) 5 : 2

(b) 5 : 4

(c) 3 : 2

(d) 2 : 1

12. The length of a room floor exceeds its breadth by 20 m. The area of the floor remains unaltered when the length is decreased by 10 m but the breadth is increased by 5 m. The area of the floor (in square metres) is : (SSC LDC/DEO 2011)

(a) 280

(b) 325

(c) 300

(d) 420

13. From a rectangular sheet of sides 18 cm and 14 cm, a semi-circular portion with smaller side as diameter is taken out. Then, the area of the remaining sheet will be (CDS-II 2015)

(a) 98 sq. cm

(b) 100 sq. cm

(c) 108 sq. cm

(d) 175 sq. cm

14. ABCD is a square. If the sides AB and CD are increased by 30%, sides BC and AD are increased by 20%, then the area of the resulting rectangle exceeds the area of the square by

(a) 50%

(b) 52%

(c) 54%

(d) 56%

15. The ratio of the outer and inner perimeters of a circular path is 23 : 22. If the path is 5 m wide, then the diameter of the inner circle is (CDS-I 2015)

(a) 220 m

(b) 110 m

(c) 55 m

(d) 165 m