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##### objective Ques (40 results)
1)

Triangle PDC is drawn inside the square ABCD of side 24cm where P lies on AB. What is the area of the triangle ?

SSC CGL 2020
A)

280$$cm^2$$

B)

200$$cm^2$$

C)

298$$cm^2$$

D)

288$$cm^2$$

2)

PQRS is a cyclic quadrilateral in which PQ = 14.4 cm. QR = 12.8 cm and SR = 9.6 cm. If PR bisects QS, what is the length of PS?

SSC CGL 2019
A)

15.8 cm

B)

16.4 cm

C)

13.6 cm

D)

19.2 cm

3)

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

4)

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)

$$148^0$$

5)

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)

$$34^0$$

6)

In quadrilateral ABCD, $$\angle C=72^0$$ and $$\angle D = 28^0$$. The bisectors of $$\angle A$$ and $$\angle B$$ meet at O. What is the measure of $$\angle AOB$$?

SSC CGL 2019
A)

$$48^0$$

B)

$$54^0$$

C)

$$50^0$$

D)

$$36^0$$

7)

If the measure of each exterior angle of a regular polygon is $$(51\frac{3}{7})^0$$, then the ratio of the number of its diagonals to the number of its sides is:

SSC CGL 2019
A)

5 : 2

B)

13 : 6

C)

3 : 1

D)

2 : 1

8)

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)

$$90^0$$

9)

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)

$$67^0$$

10)

A circle is inscribed in a quadrilateral ABCD touching AB, BC, CD and AD at the points P, Q, R and S, respectively, and $$\angle B=90^0$$. If AD = 24 cm, AB = 27 cm and DR = 6 cm, then what is the circumference of the circle?

SSC CGL 2019
A)

$$20\pi cm.$$

B)

$$18\pi cm.$$

C)

$$15\pi cm.$$

D)

$$12\pi cm.$$

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