91)

The base of a triangle is equal to the perimeter of a square whose diagonal is \(9\sqrt 2\) cm, and its height is equal to the side of a square whose area is 144 cm². The area of the triangle (in cm²) is:

SSC CPO 2020

A)

216

B)

288

C)

72

D)

144

92)

The width of the path around a square field is 4.5 m and its area is 105.75 m². Find the cost of fencing the field at the rate of Rs. 100 per meter.

SSC CGL 2022

A)

Rs. 600

B)

Rs. 550

C)

Rs. 275

D)

Rs. 400

93)

The length and the breadth of a rectangle are made to increase and decrease, respectively, by 8% and 10%. What is the percentage increase or decrease in its area?

SSC CGL 2022

A)

Increase by 2.8%

B)

Decrease by 2.8%

C)

Decrease by 1.8%

D)

Increase by 1.8%

94)

If the length of a diagonal of a square is (a + b), then the area of the square is:

SSC CGL 2022

A)

\(\frac{1}{2}\left( {{{\rm{a}}^2} + {{\rm{b}}^2}} \right) + {\rm{ab}}\)

B)

a² + b²

C)

\(\frac{1}{2}\left( {{{\rm{a}}^2} + {{\rm{b}}^2}} \right)\)

D)

a² + b² + 2ab

95)

What will be the total cost (in Rs.) of polishing the curved surface of a wooden cylinder at rate of Rs. 50 per m², if its diameter is 70 cm and height is 6 m? (Take π = \(\frac{22}{7}\) )

SSC CGL 2022

A)

675

B)

612

C)

660

D)

624

96)

The area of a carboard (in cm²) needed to make a closed box of size 20 cm × 10 cm × 8 cm will be:

SSC CGL 2022

A)

750

B)

690

C)

880

D)

960

97)

The inner circumference of a circular path enclosed between two concentric circles is 264 m. The uniform width of the circular path is 3 m. What is the area (in m², to the nearest whole number) of the path? (Take \(\pi=\frac{22}{7} \) )

SSC CGL 2022

A)

696

B)

756

C)

820

D)

948

98)

The sides of a triangular field are 360 m, 480 m and 600 m. Its area is equal to the area of a square field. What is the side (in m) of the square field?

SSC CGL 2022

A)

\(120 \sqrt{3}\)

B)

\(160 \sqrt{3}\)

C)

\(120 \sqrt{6}\)

D)

\(160 \sqrt{6}\)

99)

A 22.5 m high tent is in the shape of a frustum of a cone surmounted by a hemisphere. If the diameters of the upper and the lower circular ends of the frustum are 21 m and 39 m, respectively, then find the area of the cloth (in m²) used to make the tent (ignoring the wastage).
(Use \(π = \frac{{22}}{7}\))

SSC CGL 2022

A)

\(2107 \frac{{2}}{7}\)

B)

\(2800 \frac{{2}}{7}\)

C)

\(1635 \frac{{6}}{7}\)

D)

\(787 \frac{{2}}{7}\)

100)

The perimeters of two similar ΔABC and ΔPQR are 48.4 cm and 12.1 cm, respectively. What is the ratio of the areas of ΔABC and ΔPQR?

SSC CGL 2022

A)

4 ∶ 1

B)

16 ∶ 1

C)

1 ∶ 4

D)

1 ∶ 16