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**1)**The area of a rectangular park is 1050 sq.m, and its perimeter is 130 metre. There is a 2.5 m wide path inside the park all around. The cost of construction o path is Rs. 40 per sq. metre. Find the total cost of construction of whole path.

**(a)**Rs. 10000

**(b)**Rs. 12000

**(c)**Rs. 12500

**(d)**Rs. 8500

**(e) **None of these

**2)**Length of the floor of a rectangular auditorium is 6metre more than the radius of a circle with a circumference of 572 m. The perimeter of the floor of the rectangular auditorium is 356 m. What will be cost of flooring the auditorium (only the floor of the auditorium), if the cost of flooring is Rs. 12/ square meter ?

**(a)**Rs. 87,954

**(b)**Rs. 91.236

**(c)**Rs. 94,284

**(d)**Rs. 75,490

**(e) **None of these

**3)**The area of a right angled triangle is 80 sq. cm. The ratio of the base and the height of the triangle is 4 : 5. Find the length of hypotenuse.

**(a) **√82 cm

**(b) **2√82 cm

**(c) **2√41 cm

**(d) **3√82 cm

**(e) **None of these

**4)**A well with 14m inside diameter is dug 10m deep. Earth taken out of it, has been evenly spread all around it to a width of 21m to form an embankment. The height (in metres) of the embankment is

**(a) **0 .5

**(b)**0 .67

**(c)**0 .75

**(d)**0 .6

**(e)**None of these

5)There are two circles of different radii. The area of a square is 196 sq.cm, whose side is half the radius of the larger circle. The radius of the smaller circle is three-seventh that of the larger circle. What is the circumference of the smaller circle ?

**(a) **12 pie cm

**(b) **16 pie cm

**(c) **247 pie cm

**(d) **327 pie cm

**(e) **None of these

**6)**A horse is tethered to a peg with a 14 metre long rope at the corner of a 40 metre long and 24 metre wide rectangular grass-field. What area of the field will the horse graze ?

**(a) **154 m square

**(b) **308 m square

**(c) **240 m square

**(d) **480 m square

**(e) **None of these

**7)**The length of a rectangular floor is twice its breadth. If Rs. 256 is required to paint the floor at the rate of Rs. 2 per square metre, then what would be the length of floor ?

**(a) **16 metres

**(b) **8 metres

**(c) **12 metres

**(d) **32 metres

**(e)**None of these

**8)**The area of a rectangle is equal to the area of a square whose diagonal is 12√6 metre. The difference between the length and the breadth of the rectangle is 6 metre. What is the perimeter of rectangle ? (inmetre).

**(a) **160 metre

**(b) **80 metre

**(c) **82 metre

**(d) **84 metre

**(e) **None of these

**9)**What is the area of a circle whose radius is equal to the side of a square whose perimeter is 112 metres?

**(a) **176 sq. m.

**(b) **2504 sq. m.

**(c) **284 sq. m.

**(d) **1956 sq. m.

**(e) **None of these

**10)**If the length of a rectangular field Is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192 m square. What is the area of the original rectangle ?

**(a) **184 m square

**(b)**196 m square

**(c) **204 m square

**(d) **225 m square

**(e) **None of these