List of practice Questions

If \( f(x) = x^4 - 2x^3 - x + 2 \) is divided by \( g(x) = x^2 - 3x + 2 \), then the degree of the quotient is:
If \( \alpha \) and \( \beta \) are the zeroes of the polynomial \( x^2 - 3(x+1) - 5 \), then the value of \( (\alpha +1)(\beta +1) \) is:
The mean of the first ten consecutive odd numbers is:
The median of 15, 6, 16, 8, 22, 21, 9, 18, 25 is:
PQRS is a rectangle whose vertices are \( P(0,0) \), \( Q(6,0) \), \( R(6,2) \) and \( S(0,2) \). The area of the rectangle is:
If \( A(a,0) \), \( B(0,0) \), and \( C(0,b) \) are the vertices of \( \triangle ABC \), then the area of \( \triangle ABC \) is:
Which of the following is not a polynomial?
The degree of the polynomial \( (x^5 + x^2 + 3x)(x^6 + x^5 + x^2 + 1) \) is:
The zeroes of the polynomial \( x^2 - 11 \) are:
If -2 and -3 are the zeroes of the quadratic polynomial \( x^2 + (a+1)x + b \), then:
If the product of the zeroes of the polynomial \( x^2 - 9x + a \) is 8, then the value of \( a \) is:
The point \( (2\sqrt{7}, -3) \) lies in which quadrant?
The distance between the points \( (2\cos \theta, 0) \) and \( (0, 2\sin \theta) \) is:
The intersecting point of straight lines \( x = -2 \) and \( y = 3 \) is:
The distance between the points \( (7, -4) \) and \( (-5,1) \) is:
The point on \( y \)-axis which is equidistant from the points \( (5, -2) \) and \( (-3,2) \) is:
The total surface area of a hemisphere of diameter \( 14 \) cm is:
The volume of a cone is \( 1570 \) cm\(^3\). If the area of its base is \( 314 \) cm\(^2\), then its height is:
If \( 2r \) is the radius of a sphere, then its volume is:
What is the 11th term of the A.P. \( -3, -\frac{1}{2}, 2, \dots \) ?
The number of terms in A.P. \( 41, 38, 35, \dots, 8 \) is:
The sum of first 50 terms of the A.P. \( 2, 4, 6, 8, \dots \) is:
How many cubes of side 4 cm can be formed from a cube of side 8 cm?
Three cubes of metal with edges 3 cm, 4 cm, and 5 cm respectively are melted to form a single cube. What is the lateral surface area of the new formed cube?
The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. The ratio of their volumes is: