**SSC CGL Geometry Quadrilateral Set 1 : Ques No 1**

The length of the diagonal BD of the parallelogram ABCD is 18 cm. If P and Q are the centroid of ∆ABC and ∆ABC respectively, length of PQ is

**Options:**

A. 4 cm

B. 12 cm

C. 6 cm

D. 9 cm

**Answer: C**

**Solution:**

**SSC CGL Geometry Quadrilateral Set 1 : Ques No 2**

In rhombus ABCD, a straight line through C cuts extended AD at P and extended AD at P and extended AB at Q. If DP = (1/2)AB, then the ratio of BQ : AB is

**Options:**

A. 1 : 2

B. 2 : 1

C. 3 : 1

D. 1 : 1

**Answer: B**

**Solution: **

**SSC CGL Geometry Quadrilateral Set 1 : Ques No 3**

ABCD is a trapezium whose side AD is parallel to BC. Diagonals AC and BD intersect at O. If AO = 3, CO = x – 3, BO = 3x – 19 and DO = x – 5, the values of x will be

**Options:**

A. 7, 10

B. 7, 6

C. 12, 6

D. 8 : 9

**Answer: B**

**Solution:**

**SSC CGL Geometry Quadrilateral Set 1 : Ques No 4**

Inside a square ABCD, the triangle BCE is an equilateral triangle. If CE and BD intersect at O, then the value of the angle BOC is

**Options:**

A. 75 degrees

B. 60 degrees

C. 90 degrees

D. 120 degrees

**Answer: A**

**Solution:**

**SSC CGL Geometry Quadrilateral Set 1 : Ques No 5**

The side AB of a parallelogram ABCD is extended to E such that BE = AB and DE intersects BC at Q. Then the point Q divides BC in the ratio

**Options:**

A. 1 : 2

B. 2 : 1

C. 1 : 1

D. 2 : 3

**Answer: C**

**Solution:**

**SSC CGL Geometry Quadrilateral Set 1 : Ques No 6**

ABCD is a rhombus whose side AB = 4 cm and angle ABC = 120 degrees. Then the length of the diagonal BD is

**Options:**

A. 4 cm

B. 2 cm

C. 1 cm

D. 3 cm

**Answer: A**

**Solution:**

**SSC CGL Geometry Quadrilateral Set 1 : Ques No 7**

In a rhombus ABCD, AB is produced to F and BA is produced to E such that AB = AE = BF. Then

**Options:**

A. ED ⊥ CF

B. ED > CF

C. ED^{2} + CF^{2} = EF^{2}

D. ED || CF

**Answer: A**

**Solution:**

**SSC CGL Geometry Quadrilateral Set 1 : Ques No 8**

In a quadrilateral ABCD with unequal sides if the diagonals AC and BD intersect at right angles then

**Options:**

A. AB^{2} + BC^{2} = 2(CD^{2} + DA^{2})

B. AB^{2} + BC^{2} = CD^{2} + DA^{2}

C. AB^{2} + CD^{2} = BC^{2} + DA^{2}

D. AB^{2} + AD^{2} = BC^{2} + CD^{2}

**Answer: C**

**Solution:**

**SSC CGL Geometry Quadrilateral Set 1 : Ques No 9**

If P and Q are two points on sides AB and AD of a parallelogram ABCD respectively and areas of ∆CPD = A_{1} and that of ∆BQC = A_{2}, then

**Options:**

A. 2A_{1} = A_{2}

B. A_{1} = A_{2}

C. A_{1} = 2A_{2}

D. 2A_{1} = 3A_{2}

**Answer: B**

**Solution: **

**SSC CGL Geometry Quadrilateral Set 1 : Ques No 10**

In the following figure, a square ABCD is formed with its vertices as the mid-points of a larger square PQRS. A circle is inscribed in square ABCD and ∆EFG is an equilateral triangle inscribed in the circle. If the length of side of square PQRS is a, then the area of ∆EFG is

**Options:**

A. √3 a^{2}/16

B. 3√3 a^{2}/32

C. 5√3 a^{2}/32

D. 5√3 a^{2}/64

**Answer: B**

**Solution:**

**SSC CGL Geometry Quadrilateral Set 1 : Ques No 11**

In the figure below, P and Q are the mid-points of two sides CD and AD of a rectangle ABCD respectively. The ratio of the areas ∆BPQ and the rectangle ABCD is

**Options:**

A. 4 : 9

B. 5 : 8

C. 8 : 13

D. 3 : 8

**Answer: D**

**Solution:**

**SSC CGL Geometry Quadrilateral Set 1 : Ques No 12**

In a quadrilateral ABCD, ∠B = 90 degrees and AD^{2} = AB^{2} + BC^{2} + CD^{2}, then ∠ACD is

**Options:**

A. 45 degrees

B. 60 degrees

C. 50 degrees

D. 90 degrees

**Answer: D**

**Solution:**

**SSC CGL Geometry Quadrilateral Set 1 : Ques No 13**

In the figure below, the lengths of the four sections of the two diagonals of a trapezium ABCD namely AO, BO, CO and DO are given. Then, find the possible values of x.

**Options:**

A. 6, 8

B. 8, 9

C. 9, 7

D. 7, 8

**Answer: B**

**Solution:**

**SSC CGL Geometry Quadrilateral Set 1 : Ques No 14**

If the ratio of the angles of a quadrilateral is 2 : 7 : 2 : 7, then the shape of the quadrilateral is

**Options:**

A. is a rhombus

B. is a parallelogram

C. is a trapezium

D. cannot be identified

**Answer: D**

**Solution:**

**SSC CGL Geometry Quadrilateral Set 1 : Ques No 15**

If D, E and F are the mid-points of sides BC, CA and AB respectively of ∆ABC, then the ratio of the area of the parallelogram DEFB to the area of the trapezium CAFD is

**Options:**

A. 2 : 3

B. 3 : 4

C. 1 : 3

D. 1 : 2

**Answer: A**

**Solution:**