SSC CHSL Mensuration 2D Questions Answers Set 8

SSC CHSL Mensuration 2D Questions Answers Set 8: Ques No 1

Three coins of the same size (radius 1 cm) are placed on a table such that each of them touches the other two. The area enclosed by the coins is

Options:

A. (π /2 -√3) cm²

B. (√3 – π /2) cm²

C. (2√3- π /2) cm²

D. ( 3√3 – π /2) cm²

Answer: B

Solution:

SSC CHSL Mensuration 2D Questions Answers Set 8: Ques No 2

The area of the largest triangle that can be inscribed in a semicircle of radius r cm, is

Options:

A. 2r cm²

B. r² cm²

C. 2 cm²

D. (1/2)r²cm²

Answer: B

Solution:

SSC CHSL Mensuration 2D Questions Answers Set 8: Ques No 3

The area of the greatest circle, which can be inscribed in a square whose perimeter is 120 cm, is

Options:

A. 22/7 x(15)² cm²

B. 22/7 x(7/2)² cm²

C. 22/7 x(15/2)² cm²

D. 22/7 x(9/2)² cm²

Answer: A

Solution:

SSC CHSL Mensuration 2D Questions Answers Set 8: Ques No 4

The area of the incircle of an, equilateral triangle of side 42 cm is (take π=22/7):

Options:

A. 231 cm²

B. 462 cm²

C. 22√3 cm²

D. 924 cm²

Answer: B

Solution:

SSC CHSL Mensuration 2D Questions Answers Set 8: Ques No 5

The number of revolution a wheel of diameter 40 cm makes in traveling a distance of 176 m, is (take π=22/7):

Options:

A. 140

B. 150

C. 160

D. 166

Answer: A

Solution:

SSC CHSL Mensuration 2D Questions Answer Set 8: Ques No 6

The length of the perpendiculars drawn from any point in the interior of an equilateral triangle to the respective sides are p₁, p₂, and p₃.The length of each side of the triangle is

Options:

A. (2/√3)(p₁ + p₂ + p₃)

B. (1/3)(p₁ + p₂ + p₃)

C. (1/√3)(p₁ + p₂ + p₃)

D. (4/√3)(p₁ + p₂ + p₃)

Answer: A

Solution:

SSC CHSL Mensuration 2D Questions Answer Set 8: Ques No 7

A circle is inscribed in a square, An equilateral triangle of side 4√3cm is inscribed in that circle. The length of the diagonal of the square (in cm) is

Options:

A. 4√2

B. 8

C. 8√2

D. 16

Answer: C

Solution:

SSC CHSL Mensuration 2D Questions Answer Set 8: Ques No 8

The hypotenuse of a right angle isosceles triangle is 5 cm. Its area will be

Options:

A. 5 sq. cm

B. 6.25 sq. cm

C. 6.50 sq. cm

D. 12.5 sq. cm

Answer: B

Solution:

SSC CHSL Mensuration 2D Questions Answer Set 8: Ques No 9

From a point within an equilateral triangle, the perpendiculars drawn to the three sides are 6 cm, 7 cm and 8 cm respectively, the length of the side of the triangle is

Options:

A. 7 cm

B. 10.5 cm

C. 14√3 cm

D. 14√3 /3cm

Answer: C

Solution:

SSC CHSL Mensuration 2D Questions Answer Set 8: Ques No 10

In an isosceles triangle, the measure of each of equal sides is 10 cm and the angle between them is 45°, then area of the triangle is

Options:

A. 25 cm²

B. 25/2(√2) cm²

C. 25√2 cm²

D. 2√3 cm²

Answer: C

Solution:

SSC CHSL Mensuration 2D Questions Answer Set 8: Ques No 11

The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

Options:

A. 16 cm

B. 18 cm

C. 24 cm

D. 30 cm

Answer: B