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SSC SI CAPF Exam Quantitative Aptitude Study Material

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Mensuration

A wooden box of dimensions 8 metre x 7 metre x6 metre is to carry rectangular boxes of dimensions 8 cm x 7 cm x6 cm. The maximum number of boxes that can be carried in 1 wooden box is

a) 7500000
b) 9800000
c) 1200000
d) 1000000

✔Answer

✔Solution

Correct Answer Is : 1000000

Solution Is : Volume of wooden box = (8 * 7 * 6) cu.m. = (8 * 7 * 6 * 100?3) cu.m. Maximum number of boxes = 8 * 7 * 6 * 100³/ 8 * 7 * 6 =1000000

Two circular cylinders of equal volume have their heights in the ratio 1 : 2. Ratio of their radii is

a) 1:04
b) 1 : √2
c) √2 : 1
d) 1:02

✔Answer

✔Solution

Correct Answer Is : √2 : 1

Solution Is :

A rectangular piece of paper of dimensions 22 cm by 12 cm is rolled along its length to form a cylinder. The Volume ( in cu. Cm) of the cylinder so formed is

a) 562
b) 412
c) 462
d) 362

✔Answer

✔Solution

Correct Answer Is : 462

Solution Is : Paper is folded along the length. Circumference of the base = 22 cm, Height of cylinder = 12 cm 2 π r = 22 => 2 * 22/7 * r = 22 => r = 7/2 cm Volume of cylinder = π r² h 22/7 * 7/2 * 7/2 * 12 = 462 cu.cm.

A sphere is placed inside a right circular cylinder so as to touch the top, base and the lateral surface of the cylinder. If the radius of the sphere is R, the volume of the cylinder is

a)
b)
c)
d)

✔Answer

✔Solution

Correct Answer Is :

Solution Is : Height of cylinder = 2 R units Radius of base = R units Volume of cylinder = π R² h => π(R²) (2R) = 2 π R?3

a) 60°
b) 20°
c) 30°
d) 50°

✔Answer

✔Solution

Correct Answer Is : 30°

Solution Is :

a) Equal to 3/4
b) Less than 3/4
c) Greater than 3/4
d) None of these

✔Answer

✔Solution

Correct Answer Is : None of these

Solution Is :

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SSC SI CAPF Exam Quantitative Aptitude Study Material

Mensuration

A wooden box of dimensions 8 metre x 7 metre x6 metre is to carry rectangular boxes of dimensions 8 cm x 7 cm x6 cm. The maximum number of boxes that can be carried in 1 wooden box is

Correct Answer Is : 1000000

Solution Is : Volume of wooden box = (8 * 7 * 6) cu.m. = (8 * 7 * 6 * 100?3) cu.m. Maximum number of boxes = 8 * 7 * 6 * 100³/ 8 * 7 * 6 =1000000

Two circular cylinders of equal volume have their heights in the ratio 1 : 2. Ratio of their radii is

Correct Answer Is : √2 : 1

Solution Is :

A rectangular piece of paper of dimensions 22 cm by 12 cm is rolled along its length to form a cylinder. The Volume ( in cu. Cm) of the cylinder so formed is

Correct Answer Is : 462

Solution Is : Paper is folded along the length. Circumference of the base = 22 cm, Height of cylinder = 12 cm 2 π r = 22 => 2 * 22/7 * r = 22 => r = 7/2 cm Volume of cylinder = π r² h 22/7 * 7/2 * 7/2 * 12 = 462 cu.cm.

A sphere is placed inside a right circular cylinder so as to touch the top, base and the lateral surface of the cylinder. If the radius of the sphere is R, the volume of the cylinder is

Correct Answer Is :

Solution Is : Height of cylinder = 2 R units Radius of base = R units Volume of cylinder = π R² h => π(R²) (2R) = 2 π R?3

Correct Answer Is : 30°

Solution Is :

Correct Answer Is : None of these

Solution Is :

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SSC SI CAPF Exam Quantitative Aptitude Study Material

Mensuration

A wooden box of dimensions 8 metre x 7 metre x6 metre is to carry rectangular boxes of dimensions 8 cm x 7 cm x6 cm. The maximum number of boxes that can be carried in 1 wooden box is

Correct Answer Is : 1000000

Solution Is : Volume of wooden box = (8 * 7 * 6) cu.m. = (8 * 7 * 6 * 100?3) cu.m. Maximum number of boxes = 8 * 7 * 6 * 1003/ 8 * 7 * 6 =1000000

Two circular cylinders of equal volume have their heights in the ratio 1 : 2. Ratio of their radii is

Correct Answer Is : √2 : 1

Solution Is :

A rectangular piece of paper of dimensions 22 cm by 12 cm is rolled along its length to form a cylinder. The Volume ( in cu. Cm) of the cylinder so formed is

Correct Answer Is : 462

Solution Is : Paper is folded along the length. Circumference of the base = 22 cm, Height of cylinder = 12 cm 2 π r = 22 => 2 * 22/7 * r = 22 => r = 7/2 cm Volume of cylinder = π r2 h 22/7 * 7/2 * 7/2 * 12 = 462 cu.cm.

A sphere is placed inside a right circular cylinder so as to touch the top, base and the lateral surface of the cylinder. If the radius of the sphere is R, the volume of the cylinder is

Correct Answer Is :

Solution Is : Height of cylinder = 2 R units Radius of base = R units Volume of cylinder = π R2 h => π(R2) (2R) = 2 π R?3

Correct Answer Is : 30°

Solution Is :

Correct Answer Is : None of these

Solution Is :

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Solution Is : Volume of wooden box = (8 * 7 * 6) cu.m. = (8 * 7 * 6 * 100?3) cu.m. Maximum number of boxes = 8 * 7 * 6 * 100³/ 8 * 7 * 6 =1000000

Solution Is : Paper is folded along the length. Circumference of the base = 22 cm, Height of cylinder = 12 cm 2 π r = 22 => 2 * 22/7 * r = 22 => r = 7/2 cm Volume of cylinder = π r² h 22/7 * 7/2 * 7/2 * 12 = 462 cu.cm.

Solution Is : Height of cylinder = 2 R units Radius of base = R units Volume of cylinder = π R² h => π(R²) (2R) = 2 π R?3