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##### objective Ques (104 results)
31)

The sides of a triangle are 56 cm, 90 cm and 106 cm. The circumference of its circumcircle is:

SSC CGL 2019
A)

$$106\pi$$

B)

$$109\pi$$

C)

$$108\pi$$

D)

$$112\pi$$

32)

△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)

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

33)

The sum of the interior angles of a regular polygon is $$1260^0$$. What is the difference between an exterior angle and an interior angle of the polygon?

SSC CGL 2019
A)

$$105^0$$

B)

$$100^0$$

C)

$$120^0$$

D)

$$90^0$$

34)

In circle with centre O, AC and BD are two chords. AC and BD meet at E when produced. If AB is the diameter and $$\angle AEB=68^0$$, then the measure of $$\angle DOC$$ is :

SSC CGL 2019
A)

$$32^0$$

B)

$$30^0$$

C)

$$22^0$$

D)

$$44^0$$

35)

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)

$$64^0$$

36)

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.

37)

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)

$$34^0$$

38)

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)

$$23^0$$

39)

In a quadrilateral ABCD, the bisectors of $$\angle C$$ and $$\angle D$$ meet at E. If $$\angle CED=56^0$$ and $$\angle A = 49^0$$, then the measure of $$\angle B$$ is:

SSC CGL 2019
A)

$$71^0$$

B)

$$54^0$$

C)

$$63^0$$

D)

$$67^0$$

40)

In a circle, AB and DC are two chords. When AB and DC are produced, they meet at P. If PC = 5.6 cm, PB = 6.3 cm and AB = 7.7 cm, then the length of CD is:

SSC CGL 2019
A)

8.35 cm.

B)

9 cm.

C)

10.15 cm.

D)

9.25 cm.

showing 31 - 40 results of 104 results