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##### objective Ques (98 results)
21)

In $$\triangle ABC$$, $$BE \perp AC$$, $$CD \perp AB$$ and BE and CD intersect each other at O. The bisectors of $$\angle OBC$$ and $$\angle OCB$$ meet at P. If $$\angle BPC = 148^0$$, then what is the measure of $$\angle A$$ ?

SSC CGL 2019
A)

$$56^0$$

B)

$$28^0$$

C)

$$32^0$$

D)

$$64^0$$

22)

In $$\triangle PQR$$$$\angle Q>$$ $$\angle R$$, PS is the bisector of $$\angle P$$ and $$PT \perp QR$$, If $$\angle SPT = 28^0$$ and $$\angle R = 23^0$$, then the measure of $$\angle Q$$ is :

SSC CGL 2019
A)

$$74^0$$

B)

$$79^0$$

C)

$$82^0$$

D)

$$89^0$$

23)

In quadrilateral ABCD, $$\angle C=72^0$$ and $$\angle D = 28^0$$. The bisectors of $$\angle A$$ and $$\angle B$$ meet at O. What is the measure of $$\angle AOB$$?

SSC CGL 2019
A)

$$48^0$$

B)

$$54^0$$

C)

$$50^0$$

D)

$$36^0$$

24)

A circle touches the side BC of $$\triangle ABC$$ at D and AB and AC are produced to E and F, respectively. If AB = 10 cm, AC = 8.6 cm and BC =6.4 cm, then BE =?

SSC CGL 2019
A)

3.2 cm

B)

3.5 cm

C)

2.2 cm

D)

2.5 cm

25)

In $$\triangle ABC$$, D and E are the points on AB and AC respectively such that $$AD\times AC =$$$$AB\times AE$$. If $$\angle ADE= \angle ACB+30^0$$ and $$\angle ABC= 78^0$$, then $$\angle A = ?$$

SSC CGL 2019
A)

$$56^0$$

B)

$$54^0$$

C)

$$68^0$$

D)

$$48^0$$

26)

If in $$\triangle PQR$$$$\angle P = 120^0$$$$PS \perp QR$$ at S and PQ + QS = SR, then the measure of $$\angle Q$$ is :

SSC CGL 2019
A)

$$20^0$$

B)

$$50^0$$

C)

$$40^0$$

D)

$$30^0$$

27)

If the measure of each exterior angle of a regular polygon is $$(51\frac{3}{7})^0$$, then the ratio of the number of its diagonals to the number of its sides is:

SSC CGL 2019
A)

5 : 2

B)

13 : 6

C)

3 : 1

D)

2 : 1

28)

The bisector of $$\angle A$$ in $$\triangle ABC$$ meets BC in D. If AB = 15cm, AC = 13cm and BC = 14cm,then DC = ?

SSC CGL 2019
A)

8.5 cm

B)

7.5 cm

C)

6.5 cm

D)

8 cm

29)

In $$\triangle ABD$$, C is the midpoint of BD. If AB = 10 cm, AD = 12 cm and AC = 9 cm, then BD = ?

SSC CGL 2019
A)

$$2\sqrt {41}$$ cm.

B)

$$2\sqrt {10}$$ cm.

C)

$$\sqrt {41}$$ cm.

D)

$$\sqrt {10}$$ cm.

30)

In $$\triangle ABC$$, the medians AD, BE and CF meet at O. What is the ratio of the area of $$\triangle ABD$$ to the area of $$\triangle AOE$$?

SSC CGL 2019
A)

2 : 1

B)

3 : 1

C)

5 : 2

D)

3 : 2

showing 21 - 30 results of 98 results