**Q1. The hypotenuse and the semi-perimeter of a right triangle are 20 cm and 24 cm, respectively. The other two sides of the triangle are:**

(a) 16 cm, 12 cm

(b) 20 cm, 12 cm

(c) 20 cm, 16 cm

(d) 20 cm, 14 cm

(e) None of these

**Q2. A ladder is placed so as to reach a window 63 cm high. The ladder is then turned over to the opposite side of the street and is found to reach a point 56 cm high. If the ladder is 65 cm long, then the width of the street is:**

(a) 59 cm

(b) 39 cm

(c) 49 cm

(d) 29 cm

(e) None of these

**Q3. The perimeter of an isosceles triangle is 306 m and each of the equal sides is 5/8 of the base. Find the area.**

(a) 3648 m

^{2}
(b) 3468 m

^{2}
(c) 3846 m

^{2}
(d) 3569 m

^{2}
(e) None of these

**Q4. In a quadrilateral ABCD, the sides, AB, BC, CD, DA measure 20 m, 13 m, 17 m and 10 m, respectively and the diagonal AC is 21 m. The area of the quadrilateral is:**

(a) 210 m

^{2}
(b) 220 m

^{2}
(c) 240 m

^{2}
(d) 250 m

^{2}
(e) None of these

**Q5. The perimeter of a circle is equal to that of a square compare their areas.**

(a) 14 : 11

(b) 25 : 12

(c) 24 : 7

(d) 22 : 7

(e) None of these

**Q6. Four circular cardboard pieces, each of radius 7 cm are placed in such a way that each piece touches two other pieces. The area of the space enclosed by the four pieces is:**

(a) 21 cm

^{2}
(b) 42 cm

^{2}
(c) 84 cm

^{2}
(d) 168 cm

^{2}
(e) None of these

**Q7. A piece of wire 132 cm long is bent successively in the shapes of an equilateral triangle, a square, a regular hexagon, and a circle. Then, which has the largest surface area?**

(a) Equilateral triangle

(b) Square

(c) Circle

(d) Regular hexagon

(e) Cannot be determined

**Q8. If the diagonal of a square is doubled to make another square, the area of the new square will:**

(a) Become 4-fold

(b) Become 2-fold

(c) Become 6-fold

(d) Become 8-fold

(e) None of these

**Q9. A garden is 24 m long and 14 m wide. There is a path 1m wide outside the garden along its sides. If the path is to be constructed with square marble tiles 20 cm × 20 cm, then find the number of tiles required to cover the path:**

(a) 1800

(b) 200

(c) 2000

(d) 2150

(e) None of these

**Q10. If the length and breadth of a rectangle are in the ratio 3 : 2 and its perimeter is 20 cm, then the area of the rectangle (in cm^2) is:**

(a) 24

(b) 48

(c) 72

(d) 96

(e) 26

**Q11. A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the atitude of the parallelogram is 100 m, the atitude of triangle is:**

(a) 100 m

(b) 200 m

(c) 100√2 m

(d) 10√2 m

(e) None of these

**Q12. A is the centre of circle whose radius is 8 and B is the centre of a circle whose diameter is 8. If these two circles touch externally, then the area of the circle with diameter AB is:**

(a) 36 π

(b) 64 π

(c) 144 π

(d) 256 π

(e) None of these

**Q13. The lengths of three medians of a triangle are 9 cm, 12 cm and 15 cm. The area (in cm2) of the triangle is:**

(a) 24

(b) 72

(c) 48

(d) 144

(e) None of these

**Q14. If the measures of a diagonal and the area of a rectangle are 25 cm and 168 cm2 respectively, what is the length of the rectangle?**

(a) 31 cm

(b) 24 cm

(c) 17 cm

(d) 27 cm

(e) None of these

**Q15. 3 horses are tethered at 3 corners of a triangular plot of land having sides 20 m, 30 m and 40 m each with a rope of length 7 m. The area (in m2) of the region of this plot, which can be grazed by the horses is:**

**(Use π=22/7)**

(a) 77/3

(b) 75

(c) 77

(d) 80

(e) None of these

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