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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

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