Test Details

Quadratic Equations, Arithmetic Progressions and 2 other Topics

Jan 27, 11:00 AM

90 minutes

Jan 27, 12:30 PM

20.0 marks

MCQ

20 questions

Mahla Sir

I have completed B.Tech from AIT Pune

Class Details

Mathematics

10th Class

Mathematics

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Question Text

Question 1 :
Is the following equation a quadratic equation?$(x + 2)^3 = x^3 - 4$

Question 2 :
Applying zero product rule for the equation $x^{2}- ax - 30 = 0$ is $x = 10$, then $a =$ _____.<br/>

Question 4 :
For what values of $k$, the equation $x^{2}+2(k-4)x+2k=0$ has equal roots?

Question 5 :
If $ax^2 + bx + c =0$ has equal roots, then c is equal to ______.

Question 6 :
If the sum of $7$ consecutive numbers is $0$, what is the greatest of these numbers?

Question 8 :
What is the number of terms in the series $117, 120, 123, 126,.., 333$ ?

Question 10 :
If the common difference of an A.P. is $3$, then $a_{20}-a_{15}$ is<br/>

Question 11 :
A metallic sphere of radius $10.5 cm$ is meltedand then recast into small cones each of radius$3.5 cm$and height$3 cm$. The number of suchcones is

Question 12 :
The curved surface area of frustum cone is 612 $mm^2$. The diameter of a top cone is 10 and the radius of the bottom cone is 4mm. Find the slant height. (Use $\pi$ = 3).

Question 13 :
If$ \displaystyle S_{1} $ and $\displaystyle S_{2} $ be the whole surface of a sphere and the curved surface of the circumscribed cylinder then$ \displaystyle S_{1} $ is equal to

Question 14 :
A cone whose height is 15 cm and radius of base is 6 cm, is trimmed sufficiently to reduce it to a pyramid whose base is an equilateral triangle. The volume of the portion of removed is <br>

Question 15 :
A friction clutch is in the form of a frustum of  cone. The radius of the ends bring $16$ cm and $10$ cm. Find its curved surface area. The slant height of the friction clutch is $12$ cm.

Question 16 :
If the altitude of the sun is $60^{\circ}$, the height of a tower which casts a shadow of length 30 m is :<br/>

Question 17 :
Upper part of a vertical tree which is broken over by the winds just touches the ground and makes an angle of$ \displaystyle 30^{\circ} $ with the ground. If the length of the broken part is 20 meters , then the remaining part of the tree is of length

Question 18 :
The angles of elevation of the top of $12$m high tower from two points in opposite directions with it are complementary. If distance of one point from its base is $16$m, then distance of second point from tower's base is?

Question 19 :
A kite is flying with the string inclined at$\displaystyle 45^{\circ}$ to the horizontal If the string is straight and 50 m long the height at which the kite is flying is

Question 20 :
What is the length of the chord of a unit circle which substends an angle $\theta$ at the centre ?

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