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objective Ques (161 results)
1)

In the given fig. triangle ABC, $$\theta = 80^o$$ the measure of each of the other two angle will be:

SSC CGL 2020
A)

$$60^0$$

B)

$$40^0$$

C)

$$80^0$$

D)

$$50^0$$

2)

The sides AB and AC of $${\Delta ABC}$$ are produced to P and Q resepectively. The bisectors of $${\angle CBP}$$ and$${\angle BCQ}$$ meet at R. If the measure of $${\angle A}$$ is 44º, then what is the measure of $${1\over2 }$$$${\angle BRC}$$

SSC CGL 2019
A)

33º

B)

38º

C)

34º

D)

32º

3)

In $${\Delta ABC}$$, D is a point on side BC such that $${\angle ADC}={\angle BAC}$$. If CA = 12cm, CB = 8cm, then CD is equal to :

SSC CGL 2019
A)

12 cm.

B)

15 cm.

C)

18 cm.

D)

16 cm.

4)

In $${\Delta ABC}, \angle A =52^0$$ and O is the orthocentre of the triangle (BO and CO meet AC and AB at E and F respectively when produced). If the bisectors of $${\angle OBC}$$ and $${\angle OCB}$$ meet at P, then the measure of $${\angle BPC}$$ is :

SSC CGL 2019
A)

124º

B)

132º

C)

138º

D)

154º

5)

In $$\Delta ABC$$, AB = 6 cm, AC = 8 cm, and BC = 9 cm. The length of median AD is :

SSC CGL 2019
A)

$${\sqrt{317}\over 2}$$ cm

B)

$${\sqrt{119}\over 2}$$ cm

C)

$${\sqrt{313}\over 2}$$ cm

D)

$${\sqrt{115}\over 2}$$ cm

6)

In $$\triangle ABC$$, AB=7cm, BC=10cm, and AC = 8 cm. If AD is the angle bisector of $$\angle BAC$$, where D is a point on BC, then BD is equal to:

SSC CGL 2019
A)

$${16 \over3}cm$$

B)

$${15\over4}cm$$

C)

$${14 \over3}cm$$

D)

$${17 \over4}cm$$

7)

The sides of a triangle are 11 cm, 60 cm and 61 cm. What is the radius of the circle circumscribing the triangle?

SSC CGL 2019
A)

31.5 cm

B)

31 cm

C)

30 cm

D)

30.5 cm

8)

In$$\triangle ABC$$,$$\angle A = 58^\circ.$$ If I is the in center of the triangle, then the measure of $$\angle BIC$$ is:

SSC CGL 2019
A)

$$109^0$$

B)

$$123^0$$

C)

$$112^0$$

D)

$$119^0$$

9)

A circle is inscribed in $$\triangle ABC$$ , touching AB, BC and AC at the points P, Q and R respectively. If AB - BC = 4 cm, AB - AC = 2 cm and the perimeter of $$\triangle ABC$$ = 32 cm, then PB + AR is equal to:

SSC CGL 2019
A)

12 cm

B)

13 cm

C)

$$33\over5$$ cm

D)

$$38\over3$$ cm

10)

The sides of a triangle are 12 cm, 35 cm and 37 cm. What is the circumradius of the traingle?

SSC CGL 2019
A)

19 cm.

B)

17.5 cm.

C)

17 cm.

D)

18.5 cm.

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