SSC CGL 202011)The area of the four walls of a room having length 6 m, breadth 4 m and height 4 m, is:

Correct Option: D

80 sq. metre

l = 6m, b = 4m, h = 4m ; Area of four walls of a room = \(2\times h(l+b)=2\times4(6+4)\) = 80 sq. metre

SSC CGL 202012)Two circles of radii 8 cm and 6 cm touch each other externally. The length of the direct common tangent is:

Correct Option: B

13.86 cm

The length of the direct common tangent = \(2\sqrt{r1.r2}\);

r1 = 8 cm;

r2 = 6 cm;

The length of the direct common tangent = \( 2\sqrt{8 \times 6} = 2\sqrt{48} = 2 \times 6.93 = 13.86 cm\)

SSC CGL 202013)The inner and outer radius of a circular track are 29 m and 23 m respectively. The cost of leveling the track at Rs. 7 per sq. metre is :

Correct Option: D

Rs. 6,864

Radius of outer circle = 29 m;

Radius of inner circle = 23 m;

Area of the circular track = \(\pi (R^2-r^2)\);

Total cost of leveling the track = \({22\over7}(29^2-23^2)\times7\) = Rs. 6864

SSC CGL 202014)A circular disc of area \(0.64\pi\space m^2\) rolls down a length of 1.408 km. The number of revolutions it makes is: (Take \(\pi ={22\over7}\))

Correct Option: A

280

Area = \(\pi r^2\);

\(\pi r^2= 0.64\pi\space m^2\);

r = 0.8 m;

Circumference of disc = \(2 \pi r = 2 \times (22/7) \times 0.8 = 5.02\) ;

Length = 1.408 km = 1408 m;

The number of revolutions = 1408/5.02 = 280

SSC CGL 202015)A metallic sphere of diameter 40 cm is melted into smaller spheres of radius 0.5 cm each. How many such small balls can be made?

Correct Option: C

64,000

Number of smaller balls = \({Volume \space of\space bigger \space ball\over Volume\space of \space a\space smaller\space ball}\) = \({{4\over3}\pi R^3\over {4\over3}\pi r^3}=({20\over0.5})^3= 64000\)

SSC CGL 202016)The perimeter of a square is 64 cm. Its area will be:

Correct Option: A

256 \(cm^2\)

Perimeter of square = 64 cm ; ⇒ 4 x Side = 64; ⇒ Side = 16 cm; Area of square = \((Side)^2=(16)^2 = 256 \space cm^2\)

SSC CGL 202017)The diagonal of a square A is (a + b) units. What is the area (in square units) of the square drawn on the diagonal of square B whose area is twice the area of A?

Correct Option: A

\(2(a+b)^2\)

Area of square A = \( \frac{(diagonal)^2}{2} = \frac{(a + b)^2}{2}\) ;

Area of square B = \(2 \times area \space of \space square A = 2\times \frac{(a + b)^2}{2} = (a + b)^2\) ;

Side of B = a + b ;

Diagonal of B = \(\sqrt{2} side = \sqrt{2}(a+b)\) ;

Area (in square units) of the square drawn on the diagonal of square B = \((side)^2 = (\sqrt{2}(a+b))^2 = 2(a + b)^2\)

SSC CHSL 202118)One diagonal of a rhombus is 8√3 cm. If the other diagonal is equal to its side, then the area (in \(cm^2\) ) of the rhombus is:

Correct Option: B

32√3

SSC CHSL 202119)Find the area (in cm

^{2}) and the diameter (in cm), respectively, of a circle whose circumference is 40π cm?

Correct Option: A

400 π and 40

SSC CHSL 202120)What is the area (in \(m^2\), up to 1 place of decimal) of an equilateral triangular field of side 8.5 m?

Correct Option: B

\(18.1\sqrt3\)

showing 11 - 20 results of 100 results