General Instructions:
(i) This question paper comprises four sections – A, B, C and D. This question paper carries 40 questions. All questions are compulsory.
(ii) Section A: Q. No.1 to 20 comprises of 20 questions of one mark each.
(iii) Section B: Q. No. 21 to 26 comprises of 6 questions of two mark each.
(iv) Section C: Q. No. 27 to 34 comprises of 8 questions of three mark each.
(v) Section D: Q. No. 35 to 40 comprises of 6 questions of four mark each.
(vi) Use of Calculators are not permitted.
0 of 40 Questions completed
Questions:
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading…
You must sign in or sign up to start the quiz.
You must first complete the following:
0 of 40 Questions answered correctly
Your time:
Time has elapsed
You have reached 0 of 0 point(s), (0)
Earned Point(s): 0 of 0, (0)
0 Essay(s) Pending (Possible Point(s): 0)
Average score 

Your score 

If one of the zeroes of the polynomial \(x^2+3x+k \) is \( 2\), the value of \(k \) is
The total number of factors of a prime number is
one and the number itself
The quadratic polynomial, the sum of whose zeroes is 5 and their product is 6 is
The value of k for which the system of equation \(x+y4=0 \) and \(2x+ky=3 \) has no solution is
The HCF and LCM of 12, 21, 15 are
HCF of 12, 21 and 15 = 3
LCM
The value of \(x \) for which \(2x,x+10 \) and \(3x+2 \) are \(3 \) consecutive terms of an AP is
The first term of an AP is p and common difference is q then its \(10^{\text{th}} \) term is
The distance between the points \((a\cos\theta+b\sin\theta,0) \) and \(0,a\sin\thetab\cos\theta \) is
If the point \(p(k,0) \) divides the line segment joining the point \(A(22) \) and \(B(7,4) \) in the ratio \(1:2 \) the value of \(k \) is
The value of P for which the points \(A(3,1),B(5,P) \) and \(C(7,5) \) are collinear is
In figure, \(\triangle \)ABC is circumscribing a circle the length of BC is
Given \(\triangle ABC\sim\triangle PQR \), is \(\dfrac{AB}{PQ}=\dfrac{1}{3} \) then \(\dfrac{ar(\triangle ABC)}{ar(\triangle PQR)}= \)
ABC is an equilateral \(\triangle \) of side \(2a \) the length of one of its altitude is
\(\dfrac{\cos80^o}{\sin10^o}+\cos5a^o\ \text{cosec}\ 31^o= \)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
The value of \(\sin^2\theta+\dfrac{1}{1+\tan^2\theta}= \)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
The ratio of the length of a vertical rod and the length of its shadow is \(1:\sqrt3 \). Find the angle of elevation of the sun at that moment
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Two cones have their heights in the ratio \(1:3 \) and radii in the ratio \(3:1 \). What is the ratio of their volumes?
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Ratio
A letter of English alphabet is chosen at random. What is the probability that the chosen letter is a consonant?
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
P(consonant)
A die is thrown once. What is the probability of getting a number less than 3?
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
P(number less than 3)
If the mean of first n natural numbers is 15. Find n
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Show that \((ab)^2,(a^2+b^2) \) and \((a+b)^2 \) are in AP
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
As the common difference is same, so they are in AP
If \(DEAC \) and \(DCAP \), prove that \(\dfrac{BE}{EC}=\dfrac{BC}{CP} \)
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
In
So, (Basic proportionality theorem)…(1)
In
So, ….(2)
From equation (1) and (2) we get
(Proved)
The rod AC of a TV disc antenna is fixed at right angle to the wall AB and a rod CD is supporting the disc. If AC = 1.5 m long and CD = 3 m
Find (i) \(\tan\theta \)
(ii) \(\sec\theta+\text{cosec}\theta \)
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
(i)
(ii)
A piece of wire 22 cm long is but into the form of an arc of circle subtending an angle of \(60^o \) at its centre. Find the radius of the circle. \(\left(\text{use}\ \pi=\dfrac{22}{7}\right) \))
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
If a number X is chosen at random from the numbers 3, 2, 1, 0, 1, 2, 3. What is the probability that \(x^2\leqslant4 \)?
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Total number of outcomes
Favourable outcomes
Find the mean of the following distribution
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Find the quadratic polynomial whose zeroes are reciprocal of the zeroes of the polynomial \(f(x)=ax^2+bx+c\ a\ne0,c\ne0 \)
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Required quadratic polynomial
If 4 is the zero of the cubic polynomial \(x^33x^210x+24 \), find its other two zeroes
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
other two zeroes are 3 and 2
In a fight of 600 km, an aircraft was slowed due to bad weather. Its average speed for the trip was reduced to 200 km/hr and time of flight increased by 30 minutes. Find the original duration of flight
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let the speed of aircraft be km/hr
Speed of aircraft km/hr
Duration of flight hour
Find the area of triangle \(PQR \) formed by the points \(P(5,7),Q(4,5) \) and \(R(4,5) \)
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
In the figure \(\angle D=\angle E \) and \(\dfrac{AD}{DB}=\dfrac{AE}{EC} \), prove that \(BAC \) is an isosceles triangle
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
So, is an isosceles triangle
If the point \(C(1, 2) \) divides internally the line segment joining \(A(2,5) \) and \(B(x,y) \) in the ratio \(3:4 \). Find the coordinates of \(B \)
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
The coordinates of are
If \(\sin\theta+\cos\theta=\sqrt3 \) then prove that \(\tan\theta+\cot\theta=1 \)
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
A cone of base radius 4 cm is divided into 2 parts by drawing a plane through the midpoint of its height and parallel to its base compare the volume of two parts
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Ratio of volume
Show that the square of any positive integer cannot be of form \((5q+2) \) or \((5q+3) \) for any integer \( q\)
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let be any positive integer
Case 1
Case 2
Case – 3
Case – 4
Case – 5
So, square of any positive integer cannot be of the form or for any integer
The sum of four consecutive numbers in AP is 32 and ratio of the product of first and last terms to the product of two middle terms is \(7:15 \). Find the numbers
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let four consecutive numbers be
Four numbers are
Solve \(1+4+7+10+….+x=287 \)
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
A vertical tower stands on a horizontal plane and is surmounted by a vertical flagstaff of height 6m. At a point on the plane, the angle of elevation of the bottom and top of the flagstaff are \(30^o \) and \(45^o \) respectively. Find the height of the tower. \((\sqrt3=1.73) \)
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
A bucket in the form of a frustum of a cone of height 30 cm with radii of its lower end and upper ends are 10 cm and 20 cm respectively. Find the capacity of the bucket
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Capacity
The following table gives production yield per hectare (in quintals) of wheat of 100 farms of a village change the distribution to ‘more than’ type distribution and draw its ogive
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.