1. The perimeter of a right-angled triangle is '

(a) 5

(b) 3

(c) 2

(d) 4

2. What is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad ?

(a) 814

(b) 820

(c) 840

(d) 844

**k**' times the shortest side. If the ratio of the other side to hypotenuse is 4 : 5, then what is the value of**'k'**? (CDS - I 2019)(a) 5

(b) 3

(c) 2

(d) 4

2. What is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad ?

(a) 814

(b) 820

(c) 840

(d) 844

3. The sides of a triangle are 5 cm, 6 cm and 7 cm. The area of the triangle is approximately (CDS - II 2018)

(a) 14.5 cm²

(b) 14.3 cm²

(c) 14.9 cm²

(d) 14.7 cm²

4. A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope tight and describes 88 metres when it has traced out 72° at the centre, find the length of the rope.

(a) 75 metre

(b) 70 metre

(c) 65 metre

(d) 60 metre

5. A rectangle of maximum area is drawn inside a circle of diameter 5 cm. What is the maximum area of such a rectangle ? (CDS - I 2014)

(a) 25 cm²

(b) 12.5 cm²

(c) 12 cm²

(d) None of these

6. The length of a room floor exceeds its breadth by 9 m. The area of the floor remains unaltered when the length is increased by 15 m and breadth is decreased by 6 m. The original length of the room is

(a) 30 m

(b) 25 m

(c) 22 m

(d) 20 m

7. The sides of a triangle are 25 cm, 39 cm and 56 cm. The perpendicular from the opposite vertex on the side of 56 cm will be of (CDS - I 2015)

(a) 10 cm

(b) 12 cm

(c) 15 cm

(d) 16 cm

8. The parallel sides of a field which is in the shape of trapezium are 20 m and 41 m and the remaining two sides are 10 m and 17 m. Find the cost of leveling the field at the rate of Rs. 30 per m².

(a) Rs. 7300

(b) Rs. 7320

(c) Rs. 3720

(d) Rs. 3700

9. The area of a rhombus with side 13 cm and one diagonal 10 cm will be (CDS - I 2015)

(a) 140 cm²

(b) 130 cm²

(c) 120 cm²

(d) 110 cm²

10. The sum of the areas of two circles, which touch each other externally, is 153π. If the sum of their radii is 15, find the ratio of the larger to the smaller radius. (CAT 1997)

(a) 4 : 1

(b) 2 : 1

(c) 3 : 1

(d) None of these

(a) 14.5 cm²

(b) 14.3 cm²

(c) 14.9 cm²

(d) 14.7 cm²

4. A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope tight and describes 88 metres when it has traced out 72° at the centre, find the length of the rope.

(a) 75 metre

(b) 70 metre

(c) 65 metre

(d) 60 metre

5. A rectangle of maximum area is drawn inside a circle of diameter 5 cm. What is the maximum area of such a rectangle ? (CDS - I 2014)

(a) 25 cm²

(b) 12.5 cm²

(c) 12 cm²

(d) None of these

6. The length of a room floor exceeds its breadth by 9 m. The area of the floor remains unaltered when the length is increased by 15 m and breadth is decreased by 6 m. The original length of the room is

(a) 30 m

(b) 25 m

(c) 22 m

(d) 20 m

7. The sides of a triangle are 25 cm, 39 cm and 56 cm. The perpendicular from the opposite vertex on the side of 56 cm will be of (CDS - I 2015)

(a) 10 cm

(b) 12 cm

(c) 15 cm

(d) 16 cm

8. The parallel sides of a field which is in the shape of trapezium are 20 m and 41 m and the remaining two sides are 10 m and 17 m. Find the cost of leveling the field at the rate of Rs. 30 per m².

(a) Rs. 7300

(b) Rs. 7320

(c) Rs. 3720

(d) Rs. 3700

9. The area of a rhombus with side 13 cm and one diagonal 10 cm will be (CDS - I 2015)

(a) 140 cm²

(b) 130 cm²

(c) 120 cm²

(d) 110 cm²

10. The sum of the areas of two circles, which touch each other externally, is 153π. If the sum of their radii is 15, find the ratio of the larger to the smaller radius. (CAT 1997)

(a) 4 : 1

(b) 2 : 1

(c) 3 : 1

(d) None of these

11. The difference between length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is

(a) 1520 m²

(b) 2420 m²

(c) 2480 m²

(d) 2520 m²

12. The length of a rectangle is 20% more than its breadth. What will be the ratio of the area of this rectangle to the area of a square whose side is equal to the breadth of this rectangle ? (LIC AAO 2005)

(a) 6 : 5

(b) 5 : 6

(c) 2 : 1

(d) Data inadequate

13. What would be the cost of building a fence around a square plot with area 462.25 sq. ft. at the rate of Rs. 34 per foot ?

(a) Rs. 2924

(b) Rs. 2682

(c) Rs. 2846

(d) None of these

14. In triangle ABC P, Q and R are the mid-points of sides AB, BC and CA respectively. If the area of triangle ABC is 60 square unit, find the area of triangle PQR. (CAT 1997)

(a) 30 square unit

(b) 20 square unit

(c) 15 square unit

(d) None of these

15. One side of a parallelogram is 18 cm and its distance from the opposite side is 8 cm. The area of the parallelogram is

(a) 48 cm²

(b) 72 cm²

(c) 96 cm²

(d) 144 cm²

(a) 1520 m²

(b) 2420 m²

(c) 2480 m²

(d) 2520 m²

12. The length of a rectangle is 20% more than its breadth. What will be the ratio of the area of this rectangle to the area of a square whose side is equal to the breadth of this rectangle ? (LIC AAO 2005)

(a) 6 : 5

(b) 5 : 6

(c) 2 : 1

(d) Data inadequate

13. What would be the cost of building a fence around a square plot with area 462.25 sq. ft. at the rate of Rs. 34 per foot ?

(a) Rs. 2924

(b) Rs. 2682

(c) Rs. 2846

(d) None of these

14. In triangle ABC P, Q and R are the mid-points of sides AB, BC and CA respectively. If the area of triangle ABC is 60 square unit, find the area of triangle PQR. (CAT 1997)

(a) 30 square unit

(b) 20 square unit

(c) 15 square unit

(d) None of these

15. One side of a parallelogram is 18 cm and its distance from the opposite side is 8 cm. The area of the parallelogram is

(a) 48 cm²

(b) 72 cm²

(c) 96 cm²

(d) 144 cm²

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