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1. If the length and breadth of a rectangle are 15cm and 10cm, respectively, then its area is:
A. 100 sq.cm
B. 150 sq.cm
C. 115 sq.cm
D. 200 sq.cm
Answer: B
Explanation: Length = 15 cm
And breadth = 10 cm
Area of rectangle = Length x breadth
= 15 x 10
= 150 cm2
2. The area of a rhombus whose diagonals are of lengths 10 cm and 8.2 cm is:
A. 41 cm2
B. 82 cm2
C. 410 cm2
D. 820 cm2
Answer: A
Explanation: Area of rhombus = ½ d1 d2
A = ½ x 10 x 8.2
A = 41 cm2
3. The area of a trapezium is 480 cm2, the distance between two parallel sides is 15 cm and one of the parallel side is 20 cm. The other parallel side is:
A. 20 cm
B. 34 cm
C. 44 cm
D. 50 cm
Answer: C
Explanation: Area of trapezium = ½ h (a+b)
a=20cm, h = 15cm, Area = 480 sq.cm
480 = ½ (15) (20+b)
20+b = (480 x 2)/15
20+b=64
b=44cm
4. The area of a rhombus is 240 cm2 and one of the diagonals is 16 cm. Find the other diagonal.
A. 16 cm
B. 20 cm
C. 30 cm
D. 36 cm
Answer: C
Explanation: Area = 240 cm2
d1 = 16 cm
Area of rhombus = ½ d1 x d2
240 = ½ x 16 x d2
d2 = 480/16 = 30 cm
5. A cuboid has ______ pairs of identical faces.
A. 2
B. 3
C. 4
D. 5
Answer: B
Explanation: All six faces are rectangular, and opposites faces are identical. So there are three pairs of identical faces.
6. All six faces of a cube are:
A. Identical
B. Different
C. Circular
D. Rectangular
Answer: A
Explanation: All six faces are squares and identical
7. A cylindrical box has ____ curved surface and ____ circular faces, which are identical.
A. One, One
B. One, two
C. two, one
D. two, two
Answer: B
Explanation: A cylindrical box having circular bases have identical top. One curved surface and two circular faces which are identical.
8. If a cuboidal box has height, length and width as 20 cm, 15 cm and 10 cm respectively. Then its total surface area is:
A. 1100 cm2
B. 1200 cm2
C. 1300 cm2
D. 1400 cm2
Answer: C
Explanation: Total surface area = 2 (20 × 15 + 20 × 10 + 10 × 15)
TSA = 2 ( 300 + 200 + 150) = 1300 cm2
9. The height of a cylinder whose radius is 7 cm and the total surface area is 968 cm2 is:
A. 15 cm
B. 17 cm
C. 19 cm
D. 21 cm
Answer: A
Explanation: Total surface area = 2πr (h + r)
968 = 2 x 22/7 x 7 (7+h)
h = 15 cm
10. The height of a cuboid whose volume is 275 cm3 and base area is 25 cm2 is:
A. 10 cm
B. 11 cm
C. 12 cm
D. 13 cm
Answer: B
Explanation: Volume of a cuboid = Base area × Height
Height = Volume / Base area
H = 275/25 = 11 cm
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