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##### objective Ques (161 results)
21)

△ABC and  △DBC are on the same BC but on opposite sides of it. AD and BC intersect each other at O.If AO = a cm, DO = b cm and the area of △ABC = x cm sq, then what is the area(in cm sq.) of △DBC ?

SSC CGL 2019
A)

$${a\over b}x$$

B)

$${ab\over 2}x$$

C)

$${bx\over a}$$

D)

$${(a+b)\over 2}x$$

22)

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)

$$64^0$$

23)

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.

24)

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)

$$34^0$$

25)

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)

$$23^0$$

26)

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

27)

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

28)

Arrange the angles of the triangle from smallest to largest in the triangle, where the sides are AB = 7 cm, AC = 8 cm, and BC = 9 cm.

SSC CGL 2020
A)

A,B,C

B)

C,B,D

C)

C,B,A

D)

B,A,C

29)

In the triangle, If AB = AC and $$\angle ABC = 72^0$$, then $$\angle BAC$$  is:

SSC CGL 2020
A)

$$36^0$$

B)

$$30^0$$

C)

$$18^0$$

D)

$$54^0$$

30)

In the given figure, a circle inscribed in triangle PQR touches its sides PQ, QR and RP at points S, T and U,respectively. If PQ = 15 cm, QR= 10 cm, and RP = 12 cm, then find the lengths of PS, QT and RU?

SSC CGL 2020
A)

PS = 8.5 cm, QT = 3.5 cm and RU =6.5 cm.

B)

PS = 6.5 cm, QT = 8.5 cm and RU =3.5 cm

C)

PS = 3.5 cm, QT = 6.5 cm and RU = 8.5 cm

D)

PS = 8.5 cm, QT = 6.5 cm and RU = 3.5 cm

showing 21 - 30 results of 161 results

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