**Q1. A circular wire of diameter 112 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 9 : 7. The smaller side of the rectangle is**

(a) 77 cm

(b) 97 cm

(c) 67 cm

(d) 84 cm

**Q2. If the perimeter of an equilateral triangle be 18 cm, then the length of each median is**

(a) 3√2 cm

(b) 2√3 cm

(c) 3√3 cm

(d) 2√2 cm

**Q3. Two equal maximum sized circular plates are cut off from a circular paper sheet of circumference 352 cm. Then the circumference of each circular plate is**

(a) 176 cm

(b) 150 cm

(c) 165 cm

(d) 180 cm

**Q4. The inradius of an equilateral triangle is √3 cm, then the perimeter of that triangle is**

(a) 18 cm

(b) 15 cm

(c) 12 cm

(d) 6 cm

**Q5. The difference between the circumference and diameter of a circle is 150 m. The radius of that circle is (Take π=22/7)**

(a) 25 metre

(b) 35 metre

(c) 30 metre

(d) 40 metre

**Q6. The perimeters of a circle, a square and an equilateral triangle are same and their areas are C, S and T respectively. Which of the following statement is true?**

(a) C = S = T

(b) C > S > T

(c) C < S < T

(d) S < C < T

**Q7. A horse takes 2 (1/2) seconds to complete a round a circular filed. If the speed of the horse was 66 m/sec, then the radius of the field is [Given, π=22/7]**

(a) 25.62 m

(b) 26.52 m

(c) 25.26 m

(d) 26.25 m

**Q8. The diameter of the front wheel of an engine is 2x cm and that of rear wheel is 2y cm to cover the same distance, find the number of times the rear wheel will revolve when the front wheel revolves ‘n’ times.**

(a) n/xy times

(b) yn/x times

(c) nx/y times

(d) xy/n times

**Q9. A bicycle wheel has a diameter (including the tyre) of 56 cm. The number of times the wheel will rotate to cover a distance of 2.2 km is (Assume π=22/7)**

(a) 625

(b) 1250

(c) 1875

(d) 2500

**Q10. If the altitude of an equilateral triangle is 12√3 cm, then its area would be;**

(a) 36√3 cm^2

(b) 144√3 cm^2

(c) 72 cm^2

(d) 12 cm^2

**Q11.Let C1 and C2 be the inscribed and circumscribed circles of a triangle with sides 3 cm, 4 cm and 5 cm then (area of C1)/(area of C2 ) is**

(a) 9/25

(b) 16/25

(c) 9/16

(d) 4/25

**Q12. A circular swimming pool is surrounded by a concrete wall 4m wide. If the area of the concrete wall surrounding the pool is 11/25 that of the pool, then the radius (in m) of the pool:**

(a) 8

(b) 16

(c) 30

(d) 20

**Q14. The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4 : 5. The perimeter of the triangle is:**

(a) 400 cm

(b) 412 cm

(c) 424 cm

(d) 432 cm

**Q15. The perimeter of a sheet of paper in the shape of a quadrant of a circle is 75 cm. Its area would be (π=22/7)**

(a) 512.25 cm^2

(b) 346.5 cm^2

(c) 100 cm^2

(d) 693 cm^2

**SOLUTIONS**