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1.  
The perimeter of a rectangular hall floor is 90 m and its length is 27 m. Its area is:

Correct Answer: D [486 m²]

Explanation:

l + b = 45 → b = 18 m; area = 27 × 18 = 486 m².

2.  
The area of a circle of radius 14 cm is:

Correct Answer: C [616 cm²]

Explanation:

22/7 × 196 = 616 cm².

3.  
The two shorter sides of a right triangle are 9 cm and 12 cm. Its longest side is:

Correct Answer: B [15 cm]

Explanation:

9–12–15 is 3 × (3–4–5) → 15 cm.

4.  
The total surface area of a cube of edge 6 cm is:

Correct Answer: A [216 cm²]

Explanation:

6a² = 6 × 36 = 216 cm².

5.  
The volume of a cylinder of radius 7 cm and height 12 cm is:

Correct Answer: B [1,848 cm³]

Explanation:

πr²h = 154 × 12 = 1,848 cm³.

6.  
True or false? "If each side of a square is doubled, its area is doubled."

Correct Answer: D [False]

Explanation:

Area = a²; doubling a multiplies the area by 4.

7.  
Fill in the blank: The curved surface area of a hemisphere of radius 7 cm is ____ cm².

Correct Answer: C [308]

Explanation:

2πr² = 2 × 154 = 308 cm².

8.  
Odd one out – which set of side lengths does NOT form a right triangle?

Correct Answer: A [7, 20, 23]

Explanation:

7² + 20² = 449 ≠ 23² = 529; the others satisfy a² + b² = c².

9.  
Match the figure with its area: (i) rhombus (ii) trapezium (iii) parallelogram (iv) sector ; (p) ½ × (sum of parallel sides) × height (q) base × height (r) ½ × d₁ × d₂ (s) (θ/360) × πr²

Correct Answer: B [i-r, ii-p, iii-q, iv-s]

Explanation:

Rhombus ½d₁d₂; trapezium ½(a + b)h; parallelogram bh; sector (θ/360)πr².

10.  
A wheel of diameter 105 cm rolls 3.3 km. How many complete turns does it make?

Correct Answer: A [1,000]

Explanation:

Circumference = 22/7 × 105 = 330 cm; 3,30,000 ÷ 330 = 1,000 turns.

11.  
A water tank is 4 m long, 2.5 m wide and 1.5 m deep. How many litres of water can it hold?

Correct Answer: C [15,000 L]

Explanation:

Volume = 4 × 2.5 × 1.5 = 15 m³ = 15 × 1,000 = 15,000 litres.

12.  
A cone has radius 7 cm and slant height 25 cm. Its curved surface area is:

Correct Answer: D [550 cm²]

Explanation:

πrl = 22/7 × 7 × 25 = 550 cm².

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