Test Details

Full paper Test-1 (Mathematics )

Syllabus: All syllabus for term -1

Oct 24, 8:00 AM

100 minutes

Oct 24, 11:59 PM

50.0 marks

MCQ

35 questions

Shiv Narayan Kumar

Three years of excellent teaching and mentoring experience. Aimed to provide the most effective teaching methodology to assure quality and indepth education of Science. SHIV NARAYAN SIR (Faculty of Physics )

Class Details

PCM

Class 10

PCM

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Question Text

Question 3 :
H.C.F. of $$x^3 -1$$ and $$x^4 + x^2 + 1$$ is

Question 6 :
Five tables and eight chairs cost Rs. $$7350$$; three tables and five chairs cost Rs. $$4475$$. The price of a table is

Question 7 :
If the equations $$4x + 7y = 10 $$ and $$10x + ky = 25$$ represent coincident lines, then the value of $$k$$ is

Question 8 :
If x and y are positive with $$x-y=2$$ and $$xy=24$$ , then $$ \displaystyle \frac{1}{x}+\frac{1}{y}$$   is equal to

Question 10 :
Is the following situation possible? If so, determine their present ages. The sum of the ages of two friends is $$20$$ years.Four years ago, the product of their ages in years was $$48$$.

Question 11 :
The common quantity that must be added to each term of $$a^{2}:b^{2}$$ to make itequal to $$a:b$$ is:

Question 12 :
The degree of the remainder is always less than the degree of the divisor.

Question 14 :
Divide:$$\left ( 15y^{4}- 16y^{3} + 9y^{2} - \cfrac{1}{3}y - \cfrac{50}{9} \right )$$ by $$(3y-2)$$Answer: $$5y^{3} + 2y^{2} - \cfrac{13}{3}y + \cfrac{25}{9}$$

Question 15 :
A die is thrown .The probability that the number comes up even is ______ .

Question 16 :
The probability of an event $$A$$ lies between $$0$$ and $$1$$, both inclusive. Which mathematical expression best describes this statement?

Question 17 :
A woman has 10 keys out of which only one opens a lock She tries the keys one after the another(keeping aside the failed ones) till she suceeds in opening the lock. What is the chance that it is the seventh key that works?

Question 18 :
If $$sec\theta -tan\theta =\dfrac{a}{b},$$ then the value of $$tan\theta $$ is

Question 22 :
IF A+B+C=$$ \displaystyle 180^{\circ}  $$ ,then $$  tan A+tanB+tanC $$ is equal to

Question 23 :
If the quadratic equation $$ax^2+bx+c=0$$ ($$a > 0$$) has $$\sec^2\theta$$ and $$\text{cosec}^2\theta$$ as its roots, then which of the following must hold good?

Question 24 :
If $$a=\cos\alpha \cos\beta+\sin \alpha \sin\beta \cos\gamma$$ $$b=\cos\alpha \sin \beta-\sin\alpha \cos\beta \cos\gamma$$ and $$c=\sin \alpha \sin\gamma$$, then $$a^2+b^2+c^2$$ is equal to

Question 25 :
If $$\displaystyle \left ( \sec \theta +\tan \theta  \right )\left ( \sec \phi +\tan \phi  \right )\left ( \sec \psi  +\tan \psi  \right )=\tan \theta \tan \phi \tan \psi $$ ,then $$\displaystyle \left ( \sec \theta -\tan \theta  \right )\left ( \sec \phi -\tan \phi  \right )\left ( \sec \psi  -\tan \psi  \right )$$ is equal to

Question 26 :
A pair of numerical coordinates is required to specify each point in a ......... plane.

Question 27 :
$$P$$ is the point $$(-5,3)$$ and $$Q$$ is the point $$(-5,m)$$. If the length of the straight line $$PQ$$ is $$8$$ units, then the possible value of $$m$$ is:

Question 28 :
An isosceles triangle has vertices at (4,0), (-4,0), and (0,8) The length of the equal sides is

Question 29 :
Find the ratio in which the line segment joining the points $$(3,5)$$ and $$(-4,2)$$ is divided by y-axis.

Question 30 :
The ratio by which the line $$2x + 5y - 7 = 0$$ divides the straight line joining the points $$(-4, 7) $$ and $$(6, -5)$$ is

Question 31 :
In $$\triangle ABC$$, $$\angle C={90}^{o}$$. If $$BC=a, AC=b$$ and $$AB=c$$, find $$b$$ when $$c=13 \ cm$$ and $$a=5 \ cm$$.

Question 32 :
In $$\triangle ABC$$, $$\angle C={90}^{o}$$. If $$BC=a, AC=b$$ and $$AB=c$$, find $$a$$ when $$c=25 \ cm$$ and $$b=7 \ cm$$.

Question 33 :
The sides of a triangle are given below. Check whether or not the sides form a right angled triangle.$$50cm, 80cm, 100cm$$

Question 34 :
$$4\, RN^{2}\, =\, PQ^{2}\, +\, 4\, PR^{2}$$ State whether the above statement is true or false.

Question 35 :
In $$\Delta ABC$$, DE is || to BC, meeting AB and AC at D and E. If AD = 3 cm, DB = 2 cm and AE = 2.7 cm, then AC is equal to:

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