SSC CGL 201931)The sides of a triangle are 56 cm, 90 cm and 106 cm. The circumference of its circumcircle is:

Correct Option: A

\(106\pi\)

SSC CGL 201932)△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 ?

Correct Option: C

\({bx\over a}\)

SSC CGL 201933)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?

Correct Option: B

\(100^0\)

SSC CGL 201934)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 :

Correct Option: D

\(44^0\)

SSC CGL 201935)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 :

Correct Option: B

\(122^0\)

SSC CGL 201936)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:

Correct Option: A

19.5 cm.

SSC CGL 201937)In \(\triangle PQR\), I is the incentre of the triangle. If \(\angle QIR=107^0\), then what is the measure of \(\angle P\)?

Correct Option: D

\(34^0\)

SSC CGL 201938)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:

Correct Option: C

\(22^0\)

SSC CGL 201939)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:

Correct Option: C

\(63^0\)

SSC CGL 201940)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:

Correct Option: C

10.15 cm.

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