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objective Ques (21 results)
11)

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

SSC CGL 2020
A)

20 cm

B)

13.86 cm

C)

24 cm

D)

10.12 cm

12)

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 :

SSC CGL 2020
A)

Rs. 3,284

B)

Rs. 5,300

C)

Rs. 7,215

D)

Rs. 6,864

13)

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 \(\pi ={22\over7}\))

SSC CGL 2020
A)

280

B)

360

C)

140

D)

180

14)

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?

SSC CGL 2020
A)

32,000

B)

6400

C)

64,000

D)

3200

15)

The perimeter of a square is 64 cm. Its area will be:

SSC CGL 2020
A)

256 \(cm^2\)

B)

32 \(cm^2\)

C)

\(cm^2\)

D)

128 \(cm^2\)

16)

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?

SSC CGL 2020
A)

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

B)

\(4(a+b)^2\)

C)

\(8(a+b)^2\)

D)

\((a+b)^2\)

17)

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:

SSC CHSL 2021
A)

16√3

B)

32√3

C)

12√3

D)

24√3

18)

Find the area (in cm2) and the diameter (in cm), respectively, of a circle whose circumference is 40π cm?

SSC CHSL 2021
A)

400 π and 40

B)

40 and 400 π

C)

400 and 40

D)

40 and 400

19)

The perimeter of a rhombus is 148 cm, and one of its diagonals is 24 cm. The area (in cm2) of the rhombus is:

SSC CHSL 2021
A)

875

B)

700

C)

840

D)

770

20)

What is the perimeter of a right-angled triangle whose sides (making 90°) are 20√3 cm and 15√3 cm?

SSC CHSL 2021
A)

65√3 cm

B)

60√3 cm

C)

50√3 cm

D)

55√3 cm

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