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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.

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