If b = 3, then any integer can be expressed as a =

The product of three consecutive positive integers is divisible by

There are 312, 260 and 156 students in class X, XI and XII respectively. Buses are to be hired to take these students to a picnic. Find the maximum number of students who can sit in a bus if each bus takes equal number of students

m² – 1 is divisible by 8, if m is

If the HCF of 408 and 1032 is expressible in the form 1032 x 2 + 408 × p, then the value of p is

The graph of the polynomial ax² + bx + c is a downward parabola if

If α, β are the zeroes of the polynomial x² – 16, then αβ(α + β) is

If the zeroes of the polynomial x³ – 3x² + x – 1 are s/t , s and st then value of s is

If a polynomial of degree 4 is divided by quadratic polynomial, the degree of the remainder is

What should be subtracted from x³ – 2x² + 4x + 1 to get 1?

The zeroes of x2–2x –8 are:

The degree of the polynomial, x4 – x2 +2 is

Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial is:

Zeroes of p(x) = x²-27 are:

If p(x) is a polynomial of degree one and p(a) = 0, then a is said to be:

If one of the zeroes of cubic polynomial is x3+ax2+bx+c is -1, then product of other two zeroes is:

Equation of (x+1)²-x²=0 has number of real roots equal to:

The roots of 100x² – 20x + 1 = 0 is

The sum of two numbers is 27 and product is 182. The numbers are:

If ½ is a root of the quadratic equation x²-mx-5/4=0, then value of m is:

If one root of equation 4x2-2x+k-4=0 is reciprocal of other. The value of k is:

The equation (x – 2)² + 1 = 2x – 3 is a

The equation 2x² + kx + 3 = 0 has two equal roots, then the value of k is

If the roots of ax² + bx + c = 0 are in the ratio m : n, then

a and p are the roots of 4x² + 3x + 7 = 0, then the value of 1/α + 1/β

is

The equation 12x² + 4kx + 3 = 0 has real and equal roots, if

The roots of the equation (b – c) x² + (c – a) x + (a – b) = 0 are equal, then

One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son’s age. Their present ages are

In ABC, DE || AB. If CD = 3 cm, EC = 4 cm, BE = 6 cm, then DA is equal to

In a square of side 10 cm, its diagonal =

D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE || BC. Then, length of DE (in cm) is

Corresponding sides of two similar triangles are in the ratio of 2:3. If the area of small triangle is 48 sq.cm, then the area of large triangle is:

If triangles ABC and DEF are similar and AB=4cm, DE=6cm, EF=9cm and FD=12cm, the perimeter of triangle is:

The height of an equilateral triangle of side 5cm is:

Sides of two similar triangles are in the ratio 4: 9. Areas of these triangles are in the ratio

In a rectangle Length = 8 cm, Breadth = 6 cm. Then its diagonal =

If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to

If sin θ + sin² θ = 1, then cos² θ + cos4 θ = ..

What is the minimum value of sin A, 0 ≤ A ≤ 90°

(Sin 30°+cos 60°)-(sin 60° + cos 30°) is equal to:

1-cos²A is equal to: