101). The length of a rectangle is twice its breadth. If the length is decreased by half of the 10 cm and the breadth is increased by half of the 10 cm, the area of the rectangle is increased by 5 sq cm more than 70 sq cm. Find the length of the rectangle.
| A). 30 cm |
| B). 40 cm |
| C). 21 cm |
| D). 45 cm |
|
102). Find the cost of carpeting a room 8 m long and 6 m broad with a carpet 75 cm wide at Rs.20 per m.
| A). Rs.1300 |
| B). Rs.1500 |
| C). Rs.1750 |
| D). Rs.1280 |
|
103). A rectangular grassy plot 160 m x 45 m has a gravel path 3 m wide all the four sides inside it. Find the cost of gravelling the path at Rs.5 per sq m.
| A). Rs.5970 |
| B). Rs.4970 |
| C). Rs.6490 |
| D). Rs.8970 |
|
104). A took 15 s to cross a rectangular field diagonally walking at the rate of 52 m/min and B took the same time to cross the same field along its sides walking at the rate of 68 m/min. Find the area of the field.
| A). 45 sq m |
| B). 35 sq m |
| C). 51 sq m |
| D). None of the above |
|
105). A rectangle has 30 cm as its length and 720 sq cm as its area. Its area is increased to \( \Large 1\frac{1}{4} \) times its original area by increasing only its length. Its new perimeter is
| A). 123 cm |
| B). 125 cm |
| C). 119 cm |
| D). 121 cm |
|
106). The diagonals of two squares are in the ratio of 3 : 2. Find the ratio of their areas.
| A). 9 : 4 |
| B). 9 : 2 |
| C). 9 : 5 |
| D). 9 : 7 |
|
107). A cost of cultivating a square field at a rate of Rs.135 per hectare is Rs.1215. The cost of putting a fence around it at the rate of 75 paise per metre would be
| A). Rs.360 |
| B). Rs.810 |
| C). Rs.900 |
| D). Rs.1800 |
|
108). The base of a parallelogram is thrice of its height. If the area of the parallelogram is 2187 sq cm, find its height.
| A). 27cm |
| B). 35cm |
| C). 29 cm |
| D). 26cm |
|
109). The difference between two parallel sides of a trapezium is 8 cm. The perpendicular distance between them is 19 cm while the area of trapezium is 760 sq cm. What will be the lengths of the parallel sides?
| A). 44 cm and 36 cm |
| B). 44 cm and 38 cm |
| C). 36 cm and 25 cm |
| D). 39 cm and 26 cm |
|
110). What will be the perimeter of Square, If the sum of lengths of diagonal is 144 cm.
| A). 144 cm |
| B). \( \Large 144\sqrt{2} \) cm |
| C). 288 cm |
| D). \( \Large 228\sqrt{2} \) cm |
|
