Get the App Signup / Login

UPSC Exam > UPSC Tests > Test: Quadrilaterals- 1 - UPSC MCQ

Test: Quadrilaterals- 1 - UPSC MCQ

Test Description

25 Questions MCQ Test - Test: Quadrilaterals- 1

Test: Quadrilaterals- 1 for UPSC 2024 is part of UPSC preparation. The Test: Quadrilaterals- 1 questions and answers have been prepared according to the UPSC exam syllabus.The Test: Quadrilaterals- 1 MCQs are made for UPSC 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Quadrilaterals- 1 below.

Solutions of Test: Quadrilaterals- 1 questions in English are available as part of our course for UPSC & Test: Quadrilaterals- 1 solutions in Hindi for UPSC course. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free. Attempt Test: Quadrilaterals- 1 | 25 questions in 25 minutes | Mock test for UPSC preparation | Free important questions MCQ to study for UPSC Exam | Download free PDF with solutions

Test: Quadrilaterals- 1 - Question 1

Save

The length of each side of a rhombus is 10cm and one of its diagonal is of length 16cm. The Length of the other Diagonal is:

A.
5cm
B.
12cm
C.
13cm
D.
6cm

Detailed Solution for Test: Quadrilaterals- 1 - Question 1

Firstly we know that diagonal of rhombus bisects each other. thus half of diagonal =8cm.
by pythagoras theorem we find another half of diagonal.that is 6 cm
as we diagonals bisect other thus another diagonal
=2×6=12cm

Test: Quadrilaterals- 1 - Question 2

Save

In a Quadrilateral ABCD, AB = BC and CD = DA, then the quadrilateral is a

A.
Triangle
B.
Kite
C.
Rhombus
D.
Rectangle

1 Crore+ students have signed up on EduRev. Have you? Download the App

Test: Quadrilaterals- 1 - Question 3

Save

ABCD is a Parallelogram in which AB = 9.5cm and its perimeter is 30cm. Find the length of each side of the Parallelogram?

A.
9.5cm, 9.5cm, 5.6cm, 5.4cm
B.
9.5cm, 9.5cm, 5.4cm, 5.6cm
C.
9.5cm, 9.5cm, 5.5cm, 5.5cm
D.
10cm, 10cm, 11cm, 11cm

Detailed Solution for Test: Quadrilaterals- 1 - Question 3

We know that the perimeter of parallelogram ABCD can be written as

Perimeter = AB + BC + CD + DA

We know that opposite sides of parallelogram are equal

AB = CD and BC = DA

By substituting the values

Perimeter = 9.5 + BC + 9.5 + BC

It is given that perimeter = 30 cm

So we get

30 = 19 + 2BC

It can be written as

2BC = 30 – 19

By subtraction

2BC = 11

By division we get

BC = 5.5 cm

Therefore, AB = 9.5 cm, BC = 5.5 cm, CD = 9.5 cm and DA = 5.5 cm.

Test: Quadrilaterals- 1 - Question 4

Save

The angle between two altitudes of a Parallelogram through the vertex of an obtuse angle of the Parallelogram of 60^∘. Find the angles of the Parallelogram

A.
150^∘, 150^∘, 30^∘, 30^∘
B.
110^∘, 50^∘, 105^∘, 105^∘
C.
120^∘, 60^∘, 120^∘, 60^∘
D.
200^∘, 100^∘, 30^∘, 30^∘

Detailed Solution for Test: Quadrilaterals- 1 - Question 4

Test: Quadrilaterals- 1 - Question 5

Save

If an angle of a parallelogram is two-third of its adjacent angle, then find the smallest angle of the parallelogram.

A.
36
B.
120
C.
72
D.
90

Detailed Solution for Test: Quadrilaterals- 1 - Question 5

Test: Quadrilaterals- 1 - Question 6

Save

If ABCD is a Parallelogram with 2 Adjacent angles ∠A =∠B, then the parallelogram is a

A.
Rhombus
B.
Triangle
C.
Rectangle
D.
Square

Test: Quadrilaterals- 1 - Question 7

Save

Given a triangular prism, then what can we conclude about the lateral faces?

A.
Faces are rectangle
B.
Faces are Trapezium
C.
Faces are Prism
D.
both rectangles Faces are Parallelogram

Detailed Solution for Test: Quadrilaterals- 1 - Question 7

In a triangular prism, the bases are triangles and the lateral faces are parallelograms.

Thus it can be both rectangles and parallelograms.

So, option (D) is correct.

If the faces are rectangles, then we call it as right triangular prism

Observe the following figure.

It is clear that the faces of the above figure are rectangles and hence it is right triangular prism.

Test: Quadrilaterals- 1 - Question 8

Save

If angles A, B, C and D of the quadrilateral ABCD, taken in order, are in the ratio 3:7:6:4, then ABCD is

A.
rhombus
B.
parallelogram
C.
trapezium
D.
kite

Detailed Solution for Test: Quadrilaterals- 1 - Question 8

Given, ratio of angles of quadrilateral ABCD is 3 : 7 : 6 : 4.
Let angles of quadrilateral ABCD be 3x, 7x, 6x and 4x, respectively. We know that, sum of all angles of a quadrilateral is 360°.
3x + 7x + 6x + 4x = 360°
=> 20x = 360°
=> x=360°/20° = 18°

Test: Quadrilaterals- 1 - Question 9

Save

ABCD is a Trapezium in which AB∥DC and ∠A = ∠B = 45^∘. Find angles C and D of the Trapezium

A.
120^∘, 120^∘
B.
135^∘, 135^∘
C.
200^∘, 50^∘
D.
150^∘, 150^∘

Test: Quadrilaterals- 1 - Question 10

Save

Angles of a quadrilateral are in the ratio 3 : 6 : 8: 13. The largest angle is :

A.
178°
B.
156°
C.
90°
D.
36°

Detailed Solution for Test: Quadrilaterals- 1 - Question 10

3p + 6p + 8p + 13p = 30p = 360° ⇒ p

= 12° Largest angle is 13p = 13 × 12°

= 156°

Test: Quadrilaterals- 1 - Question 11

Save

If an angle of a parallelogram is two-third of its adjacent angle, the smallest angle of the parallelogram is:

A.
81^∘
B.
54^∘
C.
108^∘
D.
72^∘

Test: Quadrilaterals- 1 - Question 12

Save

Consecutive angles of a Parallelogram are

A.
Supplementary
B.
Acute
C.
Complementary
D.
Equal

Test: Quadrilaterals- 1 - Question 13

Save

The angles of a quadrilateral are in the ratio 4: 5: 10: 11. The angles are

A.
36°, 60°, 108°, 156°
B.
52°, 60°, 122°, 126°
C.
48°, 60°, 120°, 132°
D.
60°, 60°, 120°, 120°

Detailed Solution for Test: Quadrilaterals- 1 - Question 13

Let x be the common angle among all the four angles of a quadrilateral.

As per angle sum property, we know:

4x+5x+10x+11x = 360°

30x = 360°

x = 12°

Hence, angles are

4x = 4 (12) = 48°

5x = 5 (12) = 60°

10x = 10 (12) = 120°

11x = 11 (12) = 132°

Test: Quadrilaterals- 1 - Question 14

Save

One Angle of a quadrilateral is of 108^∘ and the remaining three angles are equal. Find each of the three equal angles.

A.
84^∘, 84^∘, 84^∘
B.
90^∘, 84^∘, 90^∘
C.
90^∘, 90^∘, 84^∘
D.
84^∘, 90^∘, 90^∘

Detailed Solution for Test: Quadrilaterals- 1 - Question 14

Test: Quadrilaterals- 1 - Question 15

Save

ABCD is a Rectangle. Find the values of x and y?

AB =30 DA= 14 DC= x+y CB=x-y

A.
20 and 10
B.
25 and 5
C.
24 and 6
D.
22 and 8

Detailed Solution for Test: Quadrilaterals- 1 - Question 15

ABCD is a rectangle.
∴ AB = CD
⇒ 30 = x + y
or x + y = 30 ..... (i)
Similarly, AD = BC
⇒ 14 = x - y
or x - y = 14 .......(ii)
On adding eq. (i) and (ii), we get
2x = 44
⇒ x = 22
Putting the value of x in eq. (i), we get
22 + y = 30
⇒ y = 30 -22
⇒ y = 8
So, x = 22, y = 8.

Test: Quadrilaterals- 1 - Question 16

Save

If area of a Parallelogram with sides ‘a’ and ‘b’ is A and that of a rectangle with sides ‘a’ and ‘b’ is B, then

A.
A < B
B.
A = B
C.
A > B
D.
None of these

Test: Quadrilaterals- 1 - Question 17

Save

A diagonal of a Rectangle is inclines to one side of the rectangle at an angle of 25^∘. The Acute Angle between the diagonals is :

A.
115^∘
B.
50^∘
C.
40^∘
D.
25^∘

Test: Quadrilaterals- 1 - Question 18

Save

Diagonals of a Parallelogram ABCD intersect at O. If ∠BOC = 90^∘, ∠BDC = 50^∘ then ∠OAB is

A.
10^∘
B.
50^∘
C.
40^∘
D.
90^∘

Test: Quadrilaterals- 1 - Question 19

Save

Angles of a quadrilateral are in the ratio 3 : 4 : 4 : 7. Find all the angles of the quadrilateral.

A.
60^∘, 120^∘, 80^∘, 140^∘
B.
60^∘, 80^∘, 100^∘, 90^∘
C.
70^∘, 70^∘, 100^∘, 100^∘
D.
60^∘, 80^∘, 80^∘, 140^∘

Test: Quadrilaterals- 1 - Question 20

Save

In Triangle ABC which is right angled at B. Given that AB = 9cm, AC = 15cm and D, E are the mid-points of the sides AB and AC res. Find the length of BC?

A.
12cm
B.
13.5cm
C.
13cm
D.
15cm

Test: Quadrilaterals- 1 - Question 21

Save

The Parallel sides of a trapezium are ‘a’ and ‘b’ res. The line joining the mid-points of its non-parallel sides will be

A.
1/2 (a+b)
B.
2ab/(a+b)
C.
1/2 (a-b)
D.
None of These

Test: Quadrilaterals- 1 - Question 22

Save

If a diagonal AC and BD of a quadrilateral ABCD bisect each other, then ABCD is a

A.
Rectangle
B.
Triangle
C.
Rhombus
D.
Parallelogram

Test: Quadrilaterals- 1 - Question 23

Save

Which of the following is not true for the Parallelogram?

A.
Opposite angles are bisected by the diagonals
B.
Opposite sides are equal
C.
Opposite angles are equal
D.
Diagonals bisect each other

Test: Quadrilaterals- 1 - Question 24

Save

The angles of the quadrilateral are in the ratios 3 : 5 : 9 : 13. Find all the angles of the Quadrilateral

A.
36^∘, 60^∘, 108^∘, 156^∘
B.
36^∘, 60^∘, 108^∘, 154^∘
C.
40^∘, 50^∘, 80^∘, 150^∘
D.
100^∘, 60^∘, 36^∘, 156^∘

Test: Quadrilaterals- 1 - Question 25

Save

The length of each side of a rhombus is 10cm and one of its diagonal is of length 16cm. The Length of the other Diagonal is:

A.
12cm
B.
6cm
C.
5cm
D.
13cm

Detailed Solution for Test: Quadrilaterals- 1 - Question 25

Use pythagoras theorem in right triangle,

10² -[16/2]² = 100 -64 = 36 = [6]² ; hence the other diagonal = 6x2 = 12cm

Information about Test: Quadrilaterals- 1 Page

In this test you can find the Exam questions for Test: Quadrilaterals- 1 solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Quadrilaterals- 1, EduRev gives you an ample number of Online tests for practice

Top Courses for UPSC

Download as PDF

Top Courses for UPSC

Join with a free account

Get Instant Access to 1000+ FREE Docs, Videos & Tests

10,000,000

Users

100+

Exams

3,25,000

Docs and Videos

75,000

Tests

I have an EduRev Account • Sign Up with Email

Attempt this test on App!

Get detailed analysis along with solutions of each question.

Open in App

Not Now

Schools

Medical
Non- Medical
Commerce
Humanities
CBSE Class 10
CBSE Class 9
CBSE Class 8
CBSE Class 7
CBSE Class 6
CBSE Class 5
CBSE Class 4
CBSE Class 3
CBSE Class 2
CBSE Class 1

Competitive Examinations

UPSC
NEET
JEE
CLAT
CAT
GMAT
GATE
Railways
SSC
IIT JAM
Defence
Insurance
Teaching
CA Foundation

Technical Exams

GATE
SSC JE
RRB JE
Civil Engineering
Computer Science Engineering
Electrical Engineering
Electronics Engineering
Biotechnology Engineering
Mechanical Engineering
Chemical Engineering

Important Questions for Quadrilaterals- 1

Find all the important questions for Quadrilaterals- 1 at EduRev.Get fully prepared for Quadrilaterals- 1 with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Quadrilaterals- 1 syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Quadrilaterals- 1 resources.

Quadrilaterals- 1 MCQs with Answers

Prepare for the Quadrilaterals- 1 within the UPSC exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Quadrilaterals- 1

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Quadrilaterals- 1 with ease. Join thousands of successful students who have benefited from our trusted online resources.

Education Revolution