Test Details

Quadratic Equations, Arithmetic Progressions and 3 other Topics

Jan 28, 11:10 AM

30 minutes

Jan 28, 11:40 PM

25.0 marks

MCQ

25 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 :
The mentioned equation is in which form? $(y\, -\, 2)\, (y\, +\, 2)\, =\, 0$

Question 2 :
The least integer $'c'$ which makes the roots of the equation $x^2+3x+2c$ imaginary is

Question 3 :
For what values of $k$, the equation $x^{2}+2(k-4)x+2k=0$ has equal roots?

Question 4 :
If, in the expression $x^2 - 3$, x increases or decreases by a positive amount a, the expression changes by an amount

Question 5 :
If roots of $(a - 2b + c)x^2 + (b - 2c +a)x + (c - 2a +b) = 0$ are equal, then :

Question 6 :
Strikers at a plant were ordered to return to work and were told they would be fined Rs. $50$ the first day they failed to do so, Rs. $75$ the second day, Rs. $100$ the third day, and so on. If the strikers stayed out for $6$ days, what was the fine for the sixth day?

Question 7 :
Find the sum of the first $15$ terms of the following sequence having $n$th term as ${ y }_{ n }=9-5n\quad $

Question 9 :
If the sequence $a_{1}, a_{2}, a_{3}, ....$ is in A.P., then the sequence $a_{5}, a_{10}, a_{15}, ....$ is

Question 11 :
Assertion: If length of a tangent from an external point to a circle is 8 cm, then length of the other tangent from the same point is 8 cm. Reason: Length of the tangents drawn from an external point to a circle are equal.

Question 12 :
The tangent to a circle is ..... to the radius through the point of contact.

Question 14 :
A tangent to a circle is a line that intersects the circle in only one point.

Question 15 :
The common point of a tangent to a circle and the circle is called .....

Question 16 :
The total surface area of a frustum of cone is calculated by using the formula _________.

Question 17 :
The slant heightof a frustum of a drum is 12 ft and the perimeters of its circular ends are 10ft and 2 ft. Find the curved surface area of the drum.(Use $\pi$ = 3.14)

Question 18 :
Find the volume of a frustum cone, whose baseand upper area of a circle is 20 and 80 $m^2$. The height of the cone is 45.5 m.

Question 19 :
How many bricks, each measuring $25\ cm\times 11.25\ cm\times 6\ cm$, will be needed to build a wall $8\ m$ long, $6\ m$ high and $22.5\ cm$ thick?

Question 20 :
How many cubes of $10\ cm$ edge can be put in a cubical box of $1\ m$ edge?

Question 21 :
What is the length of the chord of a unit circle which substends an angle $\theta$ at the centre ?

Question 22 :
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 23 :
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 24 :
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 25 :
If the altitude of the sun is $60^{\circ}$, the height of a tower which casts a shadow of length 30 m is :

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