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##### objective Ques (161 results)
81)

If the angle between the internal bisectors of two angles ∠B and ∠C of a triangle ABC is 125°, then the value of ∠A is:

SSC CHSL 2021
A)

62°

B)

65°

C)

70°

D)

72°

82)

Points D, E and F are on the sides AB, BC and AC, respectively, of triangle ABC such that AE, BF and CD bisect ∠A, ∠B and ∠C, respectively. If AB = 6 cm, BC = 7 cm and AC = 8 cm, then what will be the length of BE?

SSC CHSL 2021
A)

3.5 cm

B)

3.6 cm

C)

4 cm

D)

3 cm

83)

The perimeter of a right-angled triangle whose sides that make right angles are 15 cm and 20 cm is:

SSC CHSL 2021
A)

40 cm

B)

70 cm

C)

60 cm

D)

50 cm

84)

In ΔABC, D and E are the points on the sides AB and AC, respectively such that ∠AED = ∠ABC. If AE = 6 cm, BD = 2 cm, DE = 3 cm and BC = 5 cm, then (AB + AC) is equal to:

SSC CHSL 2021
A)

$$\frac{86}{3}$$ cm

B)

$$\frac{70}{3}$$ cm

C)

$$\frac{50}{3}$$ cm

D)

$$\frac{49}{3}$$ cm

85)

A circle is inscribed in a right-angled triangle. The lengths of the two sides containing the right angle are 15 cm and 8 cm. What is the radius of the in-circle?

SSC CHSL 2021
A)

4 cm

B)

3 cm

C)

4.5 cm

D)

3.75 cm

86)

If the perimeter of an isosceles right triangle is 15(√2 + 1) cm, then the area of the triangle will be:

SSC CHSL 2021
A)

55 cm2

B)

45 cm2

C)

46.5 cm2

D)

56.25 cm2

87)

The perimeter of an isosceles triangle is 220 cm. If the base is 40 cm, then the length of each of the other sides is:

SSC CHSL 2021
A)

80 cm

B)

85 cm

C)

95 cm

D)

90 cm

88)

The difference between the two perpendicular sides of a right-angles triangle is 17 cm and its area is 84cm2. What is the perimeter (in cm) of the triangle?

SSC CHSL 2021
A)

65

B)

49

C)

72

D)

56

89)

Let O be the centre of a circle and AC be the diameter. BD is a chord intersecting AC at E. AD and AB are joined. If ∠BOC = 40° and ∠AOD = 120°, then ∠BEC is equal to

SSC CHSL 2021
A)

70°

B)

80°

C)

90°

D)

55°

90)

In a circle with center O, PA and PB are tangents to the circle at A and B, respectively, from an external point P. If, ∠AOB = 116° then what is the measure of ∠OPB?

SSC CHSL 2021
A)

32°

B)

90°

C)

30°

D)

58°

showing 81 - 90 results of 161 results