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objective Ques (105 results)
51)

In ΔABC, the length of BC is less than twice the length of AB by 2 cm. The length of AC exceeds the length of AB by 6 cm. The perimeter is 60 cm. The length (in cm) of the largest side of the triangle ABC is:

SSC CHSL 2021
A)

30

B)

20

C)

28

D)

26

52)

In a rectangular park having dimensions 60 m × 40 m, two circular flower beds with radius 7 m are developed. What is the area of the remaining portion of the park? (use \(\pi =\frac{22}{7}\) )

SSC CHSL 2021
A)

1749 m2

B)

2092 m2

C)

1196 m2

D)

2246 m2

53)

One side of a rectangular field is 39 m and its diagonal is 89 m. What is the area of the field?

SSC CHSL 2021
A)

2100 m2

B)

2160 m2

C)

3140 m2

D)

3120 m2

54)

The base of a triangle is equal to the perimeter of a square whose diagonal is \(7\sqrt 2 \ cm\) and its height is equal to the side of a square whose area is 169 cm2. The area (in cm2) of the triangle is:

SSC CHSL 2021
A)

175

B)

156

C)

130

D)

182

55)

If the adjacent sides of a rectangle whose perimeter is 60 cm are in the ratio 3 ∶ 2, then what will be the area of the rectangle?

SSC CHSL 2021
A)

60 cm2

B)

864 cm2

C)

216 cm2

D)

300 cm2

56)

A square park has been divided into two rectangles of equal area. If the perimeter of each of these rectangles is 39 m, then what will be the perimeter of the square park?

SSC CHSL 2021
A)

78 m

B)

52 m

C)

39 m

D)

104 m

57)

If the radius of a circle is equal to a diagonal of a square whose area is 12 cm2, then the area of the circle is:

SSC CHSL 2021
A)

24 π cm2

B)

32 π cm2

C)

28 π cm2

D)

36 π cm2

58)

The perimeter of a rectangle is 86 cm. The numbers representing its area and breadth are in the ratio of 9 ∶ 1, respectively. The breadth of the rectangle is:

SSC CHSL 2021
A)

36 cm

B)

32 cm

C)

34 cm

D)

30 cm

59)

The area of the largest triangle that can be inscribed in a semi-circle of radius 6 cm is:

SSC CHSL 2021
A)

36 cm2

B)

35 cm2

C)

38 cm2

D)

34 cm2

60)

In Δ ABC, D and E are points on AB and BC, respectively, such that DE is parallel to AC. If DE = 3 cm, AC = 5 cm and the area of trapezium ACED = 32 cm2, then what will be the area of Δ BDE?

SSC CHSL 2021
A)

18 cm2

B)

\(\frac{48}{5}\) cm2

C)

16 cm2

D)

\(\frac{144}{17}\) cm2

showing 51 - 60 results of 105 results

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