What is the area of a rectangle 10 m long and 14 m wide?
Solution
Area = length × breadth = 10 × 14 = 140 m².
Answer: (D) 140 m²
Quantitative Aptitude · Geometry
Mensuration: MAH CET, NMAT and SNAP practice questions
20 questions in the pattern of MAH MBA CET, NMAT and SNAP. Each question is marked with the exams it suits. Answer it, then open the step-by-step solution.
Exam:
What is the volume of a cube of side 2 cm?
Solution
Volume = side³ = 2³ = 8 cm³.
Answer: (C) 8 cm³
What is the total surface area of a cylinder of radius 3.5 cm and height 19 cm? (π = 22/7)
Solution
Total surface area = 2πr(r + h) = 495.
Answer: (B) 495 cm²
The area of a triangle is 170 cm² and its base is 20 cm. What is its height?
Solution
Height = 2 × area ÷ base = 2 × 170 ÷ 20 = 17 cm.
Answer: (D) 17 cm
A room is 10 m long, 8 m wide and 3 m high. What is the cost of painting its four walls at Rs. 25 per m²?
Solution
Area of four walls = 2h(l + b) = 2 × 3 × 18 = 108 m².
Cost = 108 × 25 = 2700.
Answer: (A) Rs. 2700
The area of a rectangle is 209 cm² and its length is 19 cm. What is its breadth?
Solution
Breadth = area ÷ length = 209 ÷ 19 = 11 cm.
Answer: (B) 11 cm
The total surface area of a cube is 96 cm². What is its volume?
Solution
6a² = 96 ⇒ a = 4.
Volume = 64 cm³.
Answer: (A) 64 cm³
The circumference of a circle is 88 cm. What is its area? (π = 22/7)
Solution
2πr = 88 ⇒ r = 14 cm.
Area = πr² = 616 cm².
Answer: (B) 616 cm²
A rectangular plot is 18 m by 34 m. What is the cost of fencing it at Rs. 10 per metre?
Solution
Length of fence = perimeter = 2(18 + 34) = 104 m.
Cost = 104 × 10 = 1040.
Answer: (B) Rs. 1040
A rectangular garden is 40 m by 13 m. A path 3 m wide runs around it inside. What is the cost of paving the path at Rs. 10 per m²?
Solution
Area of path = 282 m².
Cost = 282 × 10 = 2820.
Answer: (A) Rs. 2820
The two shorter sides of a right-angled triangle are 3 cm and 4 cm. What is its area?
Solution
In a right triangle the two shorter sides are base and height.
Area = ½ × 3 × 4 = 6 cm².
Answer: (C) 6 cm²
What is the curved surface area of a cylinder of radius 3.5 cm and height 19 cm? (π = 22/7)
Solution
Curved surface area = 2πrh = 418.
Answer: (B) 418 cm²
The total surface area of a cube is 294 cm². What is its volume?
Solution
6a² = 294 ⇒ a = 7.
Volume = 343 cm³.
Answer: (A) 343 cm³
A wheel of radius 35 cm makes 250 revolutions. How many metres does it travel? (π = 22/7)
Solution
One revolution = 2πr = 220 cm.
Distance = 220 × 250 cm = 550 m.
Answer: (A) 550 m
The diagonal of a rectangle is 15 cm and one side is 9 cm. What is its perimeter?
Solution
Other side = 12 cm.
Perimeter = 2(9 + 12) = 42 cm.
Answer: (C) 42 cm
A room is 7 m long, 10 m wide and 5 m high. What is the cost of painting its four walls at Rs. 15 per m²?
Solution
Area of four walls = 2h(l + b) = 2 × 5 × 17 = 170 m².
Cost = 170 × 15 = 2550.
Answer: (D) Rs. 2550
What is the volume of a box 9 cm long, 8 cm wide and 8 cm high?
Solution
Volume = l × b × h = 9 × 8 × 8 = 576 cm³.
Answer: (B) 576 cm³
The diagonals of a rhombus are 12 cm and 16 cm. What is its perimeter?
Solution
Side = √((12/2)² + (16/2)²) = 10 cm.
Perimeter = 4 × 10 = 40 cm.
Answer: (A) 40 cm
A rectangular plot is 41 m by 38 m. What is the cost of fencing it at Rs. 5 per metre?
Solution
Length of fence = perimeter = 2(41 + 38) = 158 m.
Cost = 158 × 5 = 790.
Answer: (B) Rs. 790
The diagonal of a rectangle is 13 cm and one side is 5 cm. What is its perimeter?
Solution
Other side = 12 cm.
Perimeter = 2(5 + 12) = 34 cm.
Answer: (D) 34 cm
These are original practice questions written by Target Campus in the pattern and difficulty of MAH MBA CET, NMAT, SNAP and other MBA entrance tests. They are not previous-year papers.
Preparing for MAH CET, NMAT, SNAP or CAT? Courses, live classes and mocks by Dr. Kiran Derle at Target Campus.
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