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Mensuration Questions PDF For Bank Exams: The Mensuration Questions pdf for bank exams download link is provided below on this page. Candidates can improve their efficiency in solving any type of Mensuration questions by using this Mensuration aptitude questions pdf for bank exams. This Mensuration Questions pdf will help you to solve different types and levels of Mensuration questions with speed and accuracy. So download this Mensuration pdf for bank exams for your effective preparation.
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Also, we will update the Mensuration questions pdf and Mensuration quiz daily in the below table. Candidates can download this Mensuration questions pdf to practice regularly. You can attempt the daily Mensuration test by clicking the take test link provided in the following table.
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1) The diagonal of a square is 35 √2 cm, whose area is 161 Sq cm less than the area of a circle. Find the circumference of the circle?
A.144 cm
B.128 cm
C.132 cm
D.156 cm
E.None of these
2) The ratio of the height and radius of the cylinder is 7: 13. If the curved surface area of the cylinder is 572 m2, find the volume of the cylinder.
A.3718 m3
B.3187 m3
C.3781 m3
D.3787 m3
E.None of these
3) The perimeter of a rectangle is equal to the perimeter of a square, whose area is 1296 sq cm. Find the area of rectangle, if the breadth of rectangle is 26 cm?
A.1278 cm2
B.1344 cm2
C.1452 cm2
D.1020 cm2
E.None of these
4) The perimeter of the square is 112 m and the length of rectangle is equal to the side of the square. The area of the rectangle is 392 Sq m. Find the area of the circle whose radius is equal to the breadth of the rectangle?
A.1386 Sq m
B.1078 Sq m
C.784 Sq m
D.616 Sq m
E.None of these
5) If the circumference of a circle is 132 cm and the radius of the circle is equal to the height of a cylinder whose volume is 1650 cm3, then find the radius of the cylinder?
A.5 cm
B.7 cm
C.6 cm
D.8 cm
E.None of these
6) If the circumference of the semicircle is 36 cm and the breadth of the rectangle is one-eleventh of the area of the semicircle. If the area of the rectangle is 168 cm2, then what is the perimeter of the rectangle?
A.62 cm
B.58 cm
C.44 cm
D.56 cm
E.None of these
7) If the length of the rectangle is 8 cm more than the breadth of the rectangle and the perimeter of the rectangle is 64 cm. If the area of a square is equal to 15 times the area of the rectangle, then what is the perimeter of the square?
A.490 cm
B.240 cm
C.250 cm
D.640 cm
E.None of these
8) The ratio of the radius to height of the cylinder is 7: 8 and the radius of the cylinder to side of the square is 2: 3. If the volume of the cylinder is 9856 cm3, then find the perimeter of the square?
A.72 cm
B.76 cm
C.80 cm
D.84 cm
E.None of these
9) If each side of a cube is increased by 30 %, then find by how much percentage the volume of the cube be increased?
A.119.7 %
B.121.5 %
C.134.8 %
D.108.2 %
E.None of these
10) The ratio of side of the square and radius of circle is 5: 7. If the perimeter of the square is 60 cm, find the area of the Circle.
A.1256 cm2
B.1154 cm2
C.5684 cm2
D.1386 cm2
E.1458 cm2
Answers :
1) Answer: C
The diagonal of a square = 35 √2 cm
Area of the square = (1/2) * 35 * 35 * 2 = 1225 Sq cm
Area of circle = 1225 + 161 = 1386 Sq cm
(22/7) * r2 = 1386
r2 = 1386 * (7/22) = 441
Radius of the circle (r) = 21 cm
Circumference of circle = 2 * (22/7) * 21 = 132 cm
2) Answer: A
The ratio of height and radius of the cylinder = 7: 13 (7x, 13x)
Curved surface area = 2πrh
=> 572 = 2πrh
=>572 = 2 *22/7 * 13x * 7x
=>x = 1
h = 7 *1 = 7m
r = 13 *1 = 13m
Volume = πr2h
=22/7 * 13 * 13 * 7
=3718 m3
3) Answer: E
The area of square = 1296 sq cm
Side (a) = 36 cm
2 * (l + b) = 4 * a
(l + 26) = 2 * 36
l + 26 = 72
l = 46 cm
The area of rectangle = lb = 46 * 26 = 1196 cm2
4) Answer: D
The perimeter of the square = 112 m
4 * Side = 112
Side (a) = 28 m
The area of the rectangle = 392 Sq m
l * b = 392
28 * b = 392
Breadth of the rectangle = (392/28) = 14 m
The area of circle = (22/7) * 14 * 14 = 616 Sq m
5) Answer: A
Circumference of a circle = 2 * 22/7 * r = 132
Radius of the circle = 21 cm
Volume of a cylinder = 22/7 * r * r * h = 1650
r2 = 25
Radius of the cylinder = 5 cm
6) Answer: A
Circumference of the circle = 22/7 * r + 2 * r
36 = 22/7 * r + 2 * r
36 = r(22/7 + 2)
r=7cm
Area of the semicircle = 22/7 * r * r/2
= 22/7 * 7 * 7/2 = 77 cm
Breadth of the rectangle = 1/11 * 77 = 7 cm
Area of the rectangle = l * b = 168
Length of the rectangle = 168/7 = 24 cm
Perimeter of the rectangle = 2 * (24 + 7) = 62 cm
7) Answer: B
Perimeter of the rectangle = 2 * (l + b)
2 * (b + 8 + b) = 64
4b + 16 = 64
b = 12 cm
Length of the rectangle = 12 + 8 = 20 cm
Area of the rectangle = 12 * 20 = 240
Area of a square = a2 = 240 * 15
a = 60
Perimeter of the square = 4 * a = 60 * 4 = 240 cm
8) Answer: D
Volume of the cylinder = 22/7 * r * r * h
9856 = 22/7 * 7x * 7x * 8x
x = 2 cm
Radius of the cylinder = 2 * 7 = 14 m
Side of the square = 3/2 * 14 = 21 cm
Perimeter of the square = 4a = 21 * 4 = 84
9) Answer: A
Let the side of a cube be a,
Volume of a cube = a3
Side of the new cube = a * (130/100) = 1.3 a
Volume of new cube = (1.3 a)3 = 2.197 a3
Increase % = [(1.197 a3)/a3] * 100 = 119.7 %
10) Answer: D
Side of the square = 60/4 = 15
Radius of the circle = 15/5 * 7 = 21
Area of the circle = πr2
= 22/7 * 21 * 21 = 1386 cm2
Start Quiz
11) If the ratio of the radius and height of the cone is 3:7. What is the sum of double the height and one-third of the radius of the cone, if the volume of the cone is 1782cm3
A.96
B.45
C.50
D.52
E.None of these
12) The circumference of the semicircle is 72 cm and the length of the rectangle is twice the radius of the semicircle. If the area of the rectangle is 448 cm2, then find the perimeter of the rectangle?
A.72 cm
B.68 cm
C.84 cm
D.88 cm
E.64 cm
13) The radius of the circle is equal to the diagonal of the square whose area is 18 cm2, find the curved surface area of the cylinder whose radius is equal to the radius of the circle. The height of the cylinder is seven-third of the radius of the cylinder?
A.628 cm2
B.528 cm2
C.550 cm2
D.525 cm2
E.None of these
14) The ratio of the area of the rectangle and square is 2:3. If the side of the square and the length of the rectangle is equal and the perimeter of the rectangle is 60 cm, then find the perimeter of the square?
A.68 cm
B.72 cm
C.80 cm
D.84 cm
E.Cannot be determined
15) If the ratio of the radius of the cylinder to the cone is 3:2 and the ratio of the height of the cone to the cylinder is 3:5, then what is the ratio of the volume of the cone to the cylinder?
A.3:46
B.20:27
C.20:31
D.4:45
E.None of these
16) Ratio of the height to length of the cuboid is 6:5 and the breadth of the cuboid is 8 cm. If the volume of the cuboid is 2160 cm3 and the perimeter of a rectangle is 84 cm and the breadth of the rectangle is equal to the height of the cuboid, then find the area of the rectangle?
A.414 cm2
B.396 cm2
C.448 cm2
D.428 cm2
E.432 cm2
17) The area of the rectangle is 28.56% more than the area of the circle in which the breadth of the rectangle is 11 cm and the diameter of the circle is 14cm. If the height of the cuboid is 83.33% more than the length of the rectangle, then find the height of the cuboid?
A.31 cm
B.35 cm
C.33 cm
D.37 cm
E.None of these
18) The breadth of the rectangle is 2 cm more than the side of the cube whose surface area is 1536 cm2. If the ratio of the length of the rectangle to the side of the square is 6:5 and the perimeter of the rectangle is 84 cm, then what is the difference between the area of the rectangle and square?
A.32 cm2
B.36 cm2
C.28 cm2
D.24 cm2
E.None of these
19) The sum of the length, breadth of the rectangle and side of the square is 120 meters. If the perimeter of the rectangle is 180 meters. Then find the area of the square?
A.960m2
B.900m2
C.600m2
D.400m2
E.None of these
20) The length of a rectangle is 80% of the diagonal of a square of area 1225 cm2. Then find the area of the rectangle, if its perimeter is 94√2 cm.
A.1064 cm2
B.500 cm2
C.1604 cm2
D.1016 cm2
E.625 cm2
Answers :
11) Answer: B
Ratio of radius to height = 3:7
Volume of cone = 1/3 * 22/7 * 3x*3x * 7x = 1782
66x3 = 1782
x3= 27
x=3
Radius = 3*3 = 9 cm
Height = 7*3 = 21 cm
Required sum = (2*21)+(1/3 * 9) = 42+3 = 45
12) Answer: D
Circumference of the semicircle = 22/7 * r + 2 * r
72 = 22/7 * r + 2 * r
72 = r(22/7 + 2)
Radius of the semicircle = 14 cm
Length of the rectangle = 14 * 2 = 28 cm
Breadth of the rectangle = 448/28 = 16 cm
Perimeter of the rectangle = 2 * (28 + 16) = 88 cm
13) Answer: B
Area of square = 18 = d2/2
Diagonal of square (d) = 6cm
Radius of Circle = 6cm
Height of cylinder = 6*(7/3) =14cm
Curved surface area of the cylinder = 2πrh = 2*(22/7)*6*14 = 528 cm2
14) Answer: B
Length of rectangle = side of square = x
Breadth of rectangle = y
(x * y)/x * x = 2/3
y/x = 2/3
2 * (2k + 3k) = 60
k = 6
Length of rectangle = 6 * 3 = 18 cm
Perimeter of the square = 18 * 4 = 72 cm
15) Answer: D
Required ratio = 1/3 * 22/7 * 2x * 2x * 3y:22/7 * 3x * 3x * 5y
= 4:45
16) Answer: E
2160 = 6x * 5x * 8
x = 3
Height of cuboid = Breadth of the rectangle = 3 * 6 = 18 cm
Length of rectangle = 84/2 – 18 = 24 cm
Area of the rectangle = 24 * 18 = 432 cm2
17) Answer: C
The breadth of the rectangle=11 cm
The diameter of the circle=14 cm
r=14/2=7 cm
The area of the circle=22/7*r2=22/7*(7*7)=154 cm2
The area of the rectangle=154/7*9=198 cm2
The length of the rectangle=198/11=18 cm
The height of the cuboid=18/6*11=33 cm
18) Answer: A
6 * a * a = 1536
a = 16
Breadth of the rectangle = 16 + 2 = 18 cm
2 * (l + 18) = 84
l = 24 cm
Side of the square = 5/6 * 24 = 20 cm
Difference = 24 * 18 – 20 * 20
= 32 cm2
19) Answer: B
l + b+ a = 120 meter
Perimeter of the rectangle = 2(l+b) = 180
l + b = 90
a = 120 – 90 = 30 meters
Area of square = 30 * 30 = 900m2
20) Answer: A
Area of square= 1225 cm2
a² = 1225
⇒ a = 35 cm
Diagonal of square = a√2 = 35√2 cm
Length of rectangle = 35√2 × 80/100 = 28√2 cm
Perimeter = 94√2 cm
2(l+b) = 94√2
2 × 28√2 +2b = 94√2
2b = 94√2 − 56√2
2b = 38√2
b = 19√2
Area= l × b = 28√2 × 19√2 = 1064 cm2
Start Quiz
21) The radius of Cone is equal to radius of the circle whose circumference is 88 cm. Then find the curved surface area of cone in cm², if the height of cone is 2 cm.
A.740√2 cm²
B.440√2 cm²
C.417√2 cm²
D.540√2 cm²
E.640√2 cm²
22) Volume of the cylinder is 7392 cm3 and side of the square is 50% more than the radius of the cylinder. If the perimeter of the square is 84 cm and the height of the cone is equal to the height of the cylinder and the radius of the cone is 9 cm, then what is the curved surface area of the cone?
A.125∏ cm2
B.135∏ cm2
C.155∏ cm2
D.175∏ cm2
E.None of these
23) Ratio of the radius of cone to cylinder is 2:1. Volume of the cylinder is 50% more than the volume of the cone. If the difference between the height of cone and cylinder is 6 cm, then what is the sum of the height of cone and cylinder?
A.15 cm
B.18 cm
C.20 cm
D.24 cm
E.10 cm
24) Ratio of the radius of the cone to height of the cone is 7:9 and the height of the cone is equal to the height of the cylinder. If volume of the cone is 3696 cm3 and the radius of the cylinder is half of the radius of the cone, then find the volume of the cylinder?
A.2824 cm3
B.2696 cm3
C.2456 cm3
D.2772 cm3
E.None of these
25) Ratio of the length and breadth of a rectangle is 7:9 and also the ratio of its perimeter and area is 1:2. If the area of the rectangle is 25% of area of the square whose side is 16 cm, then find the breadth of the rectangle.
A.3 cm
B.14 cm
C.5 cm
D.17 cm
E.9 cm
26) If the circumference of the circle is 132 cm and the radius of the circle is equal to the length of the rectangle whose perimeter is 80 cm, find the area of the rectangle?
A.369 cm2
B.379 cm2
C.399 cm2
D.389 cm2
E.None of these
27) Ratio of the radius of cone to cylinder is 1: 2 and the volume of the cylinder is 2464 cm3. If the height of the cylinder is 4 cm and the slanting height of the cone is 25 cm, then find the volume of the cone?
A.2464 cm3
B.756 cm3
C.616 cm3
D.1232 cm3
E.None of these
28) If the perimeter of the square is equal to the perimeter of the rectangle whose area is 192 cm2 and the breadth of the rectangle is 4 cm less than the length of the rectangle, then what is the area of the square?
A.144 cm²
B.169 cm²
C.225 cm²
D.196 cm²
E.None of these
29) Area of the rectangle is 216 cm2 and the ratio of the length of the rectangle to the side of the square is 3: 4. If the perimeter of the square is 96 cm, then find the perimeter of the rectangle?
A.50 cm
B.40 cm
C.60 cm
D.80 cm
E.None of these
30) The circumference of the semi-circle is 360cm. If the side of the square is 3/5th of diameter of the semi-circle, then what is the perimeter of the square?
A.332 cm
B.336 cm
C.340 cm
D.344 cm
E.348 cm
Answers :
21) Answer: B
According to question
2 x 22/7 x r = 88
r = 14 cm
Radius of cone = 14 cm
Height of cone = 2cm
Slant height of cone =under root of (14² + 2²) = √200 = 10√2 cm
C.S.A of cone = 22/7 x 14 x 10√2 = 440√2 cm²
22) Answer: B
Side of the square = 84/4 = 21 cm
Radius of the cylinder = 100/150 * 21 = 14 cm
7392 = 22/7 * 14 * 14 * h
Height of the cylinder = 12 cm
Height of the cone = 12 cm
Slanting height of the cone = √122 + 92 = 15 cm
CSA of the cone = 22/7 * 9 * 15 = 135∏ cm2
23) Answer: B
Volume of the cone = 1/3 * 22/7 * 2x * 2x * h1
Volume of the cylinder = 22/7 * x * x * h2
22/7 * x * x * h2 = 150/100 * (1/3 * 22/7 * 2x * 2x * h1)
h2/h1 = 2/1
2h – h = 6
h = 6 cm
Required sum = 6 + (2 * 6) = 18 cm
24) Answer: D
3696 = 1/3 * 22/7 * 7x * 7x * 9x
x = 2
Radius of the cone = 7 * 2 = 14 cm
Radius of the cylinder = 14/2 = 7 cm
Height of the cone = 9 * 2 = 18 cm
Volume of the cylinder = 22/7 * 7 * 7 * 18 = 2772 cm3
25) Answer: E
Length: Breadth = 7:9
Perimeter: Area = 1:2
Area of rectangle = 1/4 x Area of square = 1/4 x 16 x 16 = 64 cm2
2’s = 64
1’s = 32cm
2(L + B) = 32
2 (7X + 9X) = 32
X = 1
Hence, breadth of the rectangle = 9X = 9 cm.
26) Answer: C
Circumference of the circle = 2πr = 2 * 22/7 * r = 132
Radius of the circle = 21 cm
Perimeter of the rectangle = 2 * (l + b)
Length of the rectangle = 21 cm
80 = 2 * (21 + b)
b = 19 cm
Area of the rectangle = l * b = 19 * 21 = 399 cm2
27) Answer: D
2464 = 22/7 * r * r * 4
Radius of the cylinder = 14 cm
Radius of the cone = ½ * 14 = 7 cm
Height of the cone = √252 – 72
= 24 cm
Volume of the cone = 1/3 * 22/7 * 7 * 7 * 24
= 1232 cm3
28) Answer: D
Area of the rectangle = 192
l * (l – 4) = 192
l2 – 4l – 192 = 0
l2 – 16l + 12l – 192 = 0
l(l – 16) + 12(l – 16) = 0
(l + 12)(l – 16) = 0
l = 16 cm
Breath of the rectangle = 16 – 4 = 12 cm
Perimeter of the rectangle = 2 * (12 + 16) = 56 cm
Perimeter of the square = 56 cm
Side of the square = 56/4 = 14 cm
Area of the square = 14 * 14 = 196 cm2
29) Answer: C
Side of the square = 96/4 = 24 cm
Length of the rectangle = ¾ * 24 = 18 cm
18 * breadth = 216
Breadth of the rectangle = 12 cm
Perimeter of the rectangle = 2 * (l + b)
= 2 * (18 + 12)
= 60 cm
30) Answer: B
Circumference of the semi-circle = 360cm
r(π+2) = 360
r(22/7+2) = 360
Therefore, radius of the semi-circle = 70cm
Diameter of the semi-circle = 140cm
Side of the square = 3/5 (140) = 84cm
Perimeter of the square = 4a = 4*84 = 336 cm
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