21)

In \(\triangle ABC\), the perpendiculars drawn from A, B and C meet the opposite sides at D, E and F, respectively. AD, BE and CF intersect at point P. If \(\angle EPD=116^0\) and the bisectors of \(\angle A\) and \(\angle B\) meet at Q, then the measure of is \(\angle AQB\) is :

SSC CGL 2019

A)

\(96^0\)

B)

\(122^0\)

C)

\(124^0\)

D)

\(64^0\)

22)

The perimeters of two similar triangles ABC and PQR are 78 cm and 46.8 cm, respectively. If PQ = 11.7 cm., then the length of AB is:

SSC CGL 2019

A)

19.5 cm.

B)

23.4 cm.

C)

24 cm.

D)

20 cm.

23)

In \(\triangle PQR\), I is the incentre of the triangle. If \(\angle QIR=107^0\), then what is the measure of \(\angle P\)?

SSC CGL 2019

A)

\(37^0\)

B)

\(43^0\)

C)

\(73^0\)

D)

\(34^0\)

24)

The sides PQ and PR of \(\triangle PQR\) are produced to points S and T, respectively. The bisectors of \(\angle SQR\) and \(\angle TRQ\)meet at U. If \(\angle QUR=79^0\), then the measure of \(\angle P\) is:

SSC CGL 2019

A)

\(41^0\)

B)

\(49^0\)

C)

\(22^0\)

D)

\(23^0\)

25)

In \(\triangle ABC\), AB = AC and D is a point on BC. If BD = 5 cm, AB = 12 cm and AD = 8 cm, then the length of CD is:

SSC CGL 2019

A)

14.8 cm

B)

16.2 cm

C)

16 cm

D)

14 cm

26)

The bisector of \(\angle B\) in \(\triangle ABC\) meets AC at D. If AB = 10 cm, BC = 11 cm and AC = 14 cm, then the length of AD is:

SSC CGL 2019

A)

6 cm

B)

\(22\over3\)cm

C)

7 cm

D)

\(20\over3\) cm