ADVANCED QUANT QUIZ

1. If the perimeter of a rhombus is 4a and lengths of the diagonals are x and y, then its area is:
(a) a(x+y)
(b) x^2+y^2
(c) xy
(d) 1/2  xy

2. In a rhombus whose area is 144 sq cm one of its diagonals is twice as long as the other. The lengths of its diagonals are:
(a) 24 cm, 48 cm
(b) 12 cm, 24 cm
(c) 6√2  cm,12√2 cm
(d) 6 cm, 12 cm

3. In a trapezium, parallel sides are 60 and 90 cms respectively and non-parallel sides are 40 and 50 cms respectively. Find its area.
(a) 3000 sq cm
(b) 2500 sq cm
(c) 2000 sq cm
(d) 5400 sq cm

4. In a trapezium parallel sides are 60 and 90 cm respectively and non-parallel sides are 40 and 50 cm respectively. Find the perpendicular distance between the two parallel sides of the trapezium.
(a) 40 cm
(b) 54 cm
(c) 45 cm
(d) 65 cm

5. In a trapezium parallel sides are 25 and 40 cm respectively and non-parallel sides are 15 and 20 cm respectively. Find the perpendicular distance between the two parallel sides of the trapezium.
(a) (30√3)/7  cm
(b) (20√3)/5  cm
(c) (20√5)/3  cm
(d) Data inadequate

6. There are two concentric circles. Radius of the larger circle is 35 cm. Area of the smaller circle is 4/21 of the area between the two circles. Find the perimeter of the smaller circle.
(a) 44 cm
(b) 88 cm
(c) 66 cm
(d) Data inadequate

7. When 111 meters of carpet will cover a floor 18.5 metres by 7.5 metres, what is the width of the carpet?
(a) 1.25 metres
(b) 2 metres
(c) 2.75 metres
(d) 2.25 metres

8. A room 7.3 metres by 7.1 metres is to be paved with equal square tiles. Find the least number of whole tiles which will exactly cover the floor.
(a) 5183
(b) 52
(c) 5813
(d) Can’t be determined

9. Find the area of a regular octagon whose side measures 5 cm.
(a) (√2+110) sq cm
(b) 50(√2+1) sq cm
(c) 25(√2+1) sq cm
(d) None of these

10. The area of a regular octagon is 51 sq cm, find its side 
(a) 3.25 cm
(b) 5.25 cm
(c) 4.25 cm
(d) 6.25 cm

ANSWER KEY:

1. D

2. B

3. A

4. A

5. C

6. B

7. A

8. A

9. B

10.A