Test Details

Home Work Batch 11:30

Feb 08, 2:30 PM

70 minutes

Feb 09, 11:00 AM

100.0 marks

MCQ

50 questions

Mr. Vishal Gupta

EX - RIMC TEACHER, Teach Mathematics for Competitive Exams. Running an Academy for Defence Aspirants by the VISHAL ACADEMY. OUR TEAM IS THE EX - RIMC TEACHERS TEAM PREPARING STUDENTS FOR COMPETITIVE EXAMS.

Class Details

Maths

Entrance Exam

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Pure Arithmetic, Algebra and 2 other Topics

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Number Systems, Quadrilaterals and 6 other Topics

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Factorisation

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Quadrilaterals - NCERT, Surface Areas and Volumes - NCERT and 2 other Topics

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Mensuration - NCERT

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Factorisation

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Exponents and Powers,Factorisation

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Data Handling, Comparing Quantities and 2 other Topics

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Rational Numbers, Linear Equations in One Variable and 7 other Topics

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Question Text

Question 1 :
If two triangles are on same ____ and are between same parallel lines they have equal area.

Question 7 :
The value of $(-3)^0 - (-3)^3 - (-3)^{-1} + (-3)^4 - (-3)^{-2}$ is

Question 9 :
If  $\left (\dfrac {a}{b}\right )^{x-1}=\left (\dfrac {a}{b}\right )^{x-3}$ then the value of $x$ is

Question 12 :
Angles of a quadrilateral are in the ratio $3 : 6 : 8 : 13$. The largest angle is :<br/>

Question 13 :
Complete the following statement .<div>Number of measurements required to construct a rectangle are_______.</div>

Question 14 :
In a quadrilateral $ABCD$, the angles $\angle A, \angle B, \angle C$ and $\angle D$ are in the ratio $2 : 3 : 4 : 6$. Find the measure of each angle of the quadrilateral.

Question 15 :
In a quadrilateral $ABCD,\angle A = 2x - {35^ \circ },\angle B = 3x - {5^ \circ },\angle C = x + {10^ \circ },\angle D = 4x + {20^ \circ },$ find the value of $x$,

Question 16 :
Three angles of a quadrilateral are $60^{\circ}, 110^{\circ}$ and $86^{\circ}$, the fourth angle of the quadrilateral is :<br/>

Question 20 :
In a cyclic quadrilateral $ABCD$, $\angle A=5x, \angle C=4x$, the value of $x$ is:

Question 22 :
$ABCD$ is a cyclic quadrilateral. If $\angle  A-\angle C=30^{\circ}$, then $ \angle  C =$?

Question 23 :
The perpendicular drawn from centre to the chord divides the chord in a ratio of _____

Question 24 :
$BD$ is a chord parallel to the diameter $AC$ of a circle. A point $B$ is on the perimeter of the circle such that angle $CBE={ 63 }^{ o }$. The angle $DCE$ is equal to:

Question 25 :
Four alternative answers for the following question is given. Choose the correct alternative.<br/>In a cyclic quadrilateral $ \,ABCD$, twice the measure of $\angle A$ is thrice the measure of $\angle C$. Find the measure of $\angle C$?

Question 26 :
$ ABCD$ is a cyclic quadrilateral, then the angles of the quadrilateral in the same order are:

Question 27 :
If the perimeter and the area of a circle are numerically equal, then the radius of the circle is

Question 28 :
Quadilateral ABCD is cyclic. If $ \angle B = 60^o$, then $\angle D = $____.

Question 29 :
Consider a circle with center O and radius = 24cm. AB = 20cm and CD = 14cm are two chords of the circle. Which chord is farther away from the centre?

Question 30 :
Find the area of equilateral triangle (in ${cm^2}$)each of whose sides measure 18 cm.

Question 31 :
For a quadrilateral, with the $4$ sides given and with none of the angles $90^o,$ <br/>

Question 32 :
The sides of a triangle measures $13\,cm , 14\,cm$ and $15\,cm.$ Its area is

Question 33 :
Three sides of a triangular field are 20m, 21m, and 29m long, respectively. The area of the field is :

Question 36 :
If $x + 2$ is a factor of $x^{2} + mx + 14$, then $m =$

Question 37 :
The value of ${ \left( 1.02 \right)  }^{ 2 }+{ \left( 0.98 \right)  }^{ 2 }$, corrected to three decimal places is:

Question 40 :
<span>Find the value of $k$, if $x-1$ is a factor of $p(x)$ in each of the following cases:</span><div>$p(x)=2x^2+kx+\sqrt 2$<br/></div>

Question 42 :
The value of $k$ for which $x-1$ is a factor of the polynomial $4x^3+3x^2-4x+k$ is<br/>

Question 44 :
Mark the triplet that can be the lengths of the sides of a triangle.

Question 45 :
In triangle $ ABC$, $\angle B=30^{o}$ and $\angle$ C$=70^{o}$. The greatest side of the triangle is<br/>

Question 46 :
If a $\triangle PQR$ is constructed taking $QR = 5\text{ cm},$ $PQ = 3\text{ cm},$ and $PR = 4\text{ cm}$ then the correct order of the angles of the triangle is:

Question 47 :
The length of two sides of a triangle is $7 \,cm$ and $9 \,cm$. the length of the third side may lie between

Question 48 :
Two sides of a triangle have lengths $7$ and $9$. Which of the following could not be the length of the third side?

Question 50 :
Which of the following sets of measurements can be used to construct a triangle?

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