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UPSC Exam  >  UPSC Tests  >  UPSC Prelims Paper 2 CSAT - Quant, Verbal & Decision Making  >  Test: Quadrilaterals- 1 - UPSC MCQ

Test: Quadrilaterals- 1 - UPSC MCQ


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25 Questions MCQ Test UPSC Prelims Paper 2 CSAT - Quant, Verbal & Decision Making - Test: Quadrilaterals- 1

Test: Quadrilaterals- 1 for UPSC 2024 is part of UPSC Prelims Paper 2 CSAT - Quant, Verbal & Decision Making 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 UPSC Prelims Paper 2 CSAT - Quant, Verbal & Decision Making for UPSC & Test: Quadrilaterals- 1 solutions in Hindi for UPSC Prelims Paper 2 CSAT - Quant, Verbal & Decision Making 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 UPSC Prelims Paper 2 CSAT - Quant, Verbal & Decision Making for UPSC Exam | Download free PDF with solutions
Test: Quadrilaterals- 1 - Question 1
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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:

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

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Test: Quadrilaterals- 1 - Question 3
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ABCD is a Parallelogram in which AB = 9.5cm and its perimeter is 30cm. Find the length of each side of the Parallelogram?

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
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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
Detailed Solution for Test: Quadrilaterals- 1 - Question 4

Test: Quadrilaterals- 1 - Question 5
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If an angle of a parallelogram is two-third of its adjacent angle, then find the smallest angle of the parallelogram.
Detailed Solution for Test: Quadrilaterals- 1 - Question 5


Test: Quadrilaterals- 1 - Question 6
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If ABCD is a Parallelogram with 2 Adjacent angles ∠A =∠B, then the parallelogram is a
Test: Quadrilaterals- 1 - Question 7
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Given a triangular prism, then what can we conclude about the lateral faces?
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
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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 
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
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ABCD is a Trapezium in which AB∥DC and ∠A = ∠B = 45∘. Find angles C and D of the Trapezium
Test: Quadrilaterals- 1 - Question 10
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Angles of a quadrilateral are in the ratio 3 : 6 : 8: 13. The largest angle is :
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
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If an angle of a parallelogram is two-third of its adjacent angle, the smallest angle of the parallelogram is:
Test: Quadrilaterals- 1 - Question 12
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Consecutive angles of a Parallelogram are
Test: Quadrilaterals- 1 - Question 13
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The angles of a quadrilateral are in the ratio 4: 5: 10: 11. The angles are
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
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One Angle of a quadrilateral is of 108∘ and the remaining three angles are equal. Find each of the three equal angles.
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Test: Quadrilaterals- 1 - Question 15
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ABCD is a Rectangle. Find the values of x and y?

AB =30 DA= 14 DC= x+y CB=x-y
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
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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
Test: Quadrilaterals- 1 - Question 17
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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 :
Test: Quadrilaterals- 1 - Question 18
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Diagonals of a Parallelogram ABCD intersect at O. If ∠BOC = 90∘, ∠BDC = 50∘ then ∠OAB is
Test: Quadrilaterals- 1 - Question 19
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Angles of a quadrilateral are in the ratio 3 : 4 : 4 : 7. Find all the angles of the quadrilateral.
Test: Quadrilaterals- 1 - Question 20
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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?
Test: Quadrilaterals- 1 - Question 21
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The Parallel sides of a trapezium are ‘a’ and ‘b’ res. The line joining the mid-points of its non-parallel sides will be
Test: Quadrilaterals- 1 - Question 22
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If a diagonal AC and BD of a quadrilateral ABCD bisect each other, then ABCD is a
Test: Quadrilaterals- 1 - Question 23
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Which of the following is not true for the Parallelogram?
Test: Quadrilaterals- 1 - Question 24
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The angles of the quadrilateral are in the ratios 3 : 5 : 9 : 13. Find all the angles of the Quadrilateral
Test: Quadrilaterals- 1 - Question 25
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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:
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

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