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objective Ques (98 results)
11)

Chord AB of a circle is produced to a point P, and is a point on the circle such that PC is a tangent to the circle. If PC = 18 cm, and BP = 15 cm, then AB is equal to:

SSC CGL 2019
A)

5.8 cm

B)

6.2 cm

C)

6.6 cm

D)

8.5 cm

12)

In\( \triangle ABC\),\( \angle A = 58^\circ.\) If I is the in center of the triangle, then the measure of \(\angle BIC\) is:

SSC CGL 2019
A)

\(109^0\)

B)

\(123^0\)

C)

\(112^0\)

D)

\(119^0\)

13)

A circle is inscribed in \( \triangle ABC\) , touching AB, BC and AC at the points P, Q and R respectively. If AB - BC = 4 cm, AB - AC = 2 cm and the perimeter of \(\triangle ABC\) = 32 cm, then PB + AR is equal to:

SSC CGL 2019
A)

12 cm

B)

13 cm

C)

\(33\over5\) cm

D)

\(38\over3\) cm

14)

If each interior angle of a regular polygon is \( \left(128\frac{4}{7}\right)^\circ\) , then what is the sum of the number of its diagonals and the number of its sides?

SSC CGL 2019
A)

15

B)

19

C)

17

D)

21

15)

In quadrilateral ABCD, the bisectors of\( \angle A \)and \(\angle B\) meet at O and \(\angle AOB = 64^\circ\).\( \angle C + \angle D\) is equal to:

SSC CGL 2019
A)

\(136^0\)

B)

\(128^0\)

C)

\(116^0\)

D)

\(148^0\)

16)

In a circle with centre O, ABCD is a cyclic quadrilateral and AC is the diameter. Chords AB and CD are produced to meet at E. If \(\angle CAE = 34^0\) and \(\angle E = 30^0\), then \(\angle CBD\) is equal to :

SSC CGL 2019
A)

\(36^0\)

B)

\(26^0\)

C)

\(24^0\)

D)

\(34^0\)

17)

The sides of a triangle are 12 cm, 35 cm and 37 cm. What is the circumradius of the traingle?

SSC CGL 2019
A)

19 cm.

B)

17.5 cm.

C)

17 cm.

D)

18.5 cm.

18)

S is the incenter of \(\triangle PQR\) . If \(\angle PSR = 125^0\) , then the measure of \(\angle PQR\) is:

SSC CGL 2019
A)

\(75^0\)

B)

\(55^0\)

C)

\(80^0\)

D)

\(70^0\)

19)

If in \(\triangle ABC\), D and E are the points on AB and BC respectively such that \(DE \parallel AC ​\), and AD : AB = 3 : 8, then (area of \(\triangle BDE\) ) : ( area of quadrilateral DECA) = ?

SSC CGL 2019
A)

9 : 55

B)

9 : 64

C)

8 : 13

D)

25 : 39

20)

Two parallel chords on the same side of the centre of a circle are 12 cm and 20 cm long and the radius of the circle is \(5\sqrt{13}cm\). What is the distance (in cm) between the chords?

SSC CGL 2019
A)

2

B)

3

C)

2.5

D)

1.5

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