List of practice Questions

If the points \( (1, 2) \), \( (0, 0) \), and \( (a, b) \) are collinear, then:
Two vertices of a triangle ABC are A(2, 3) and B(1, -3), and the centroid is at C(3, 0), then the coordinates of the third vertex C are:
The given number \( 2:1311311311113 \dots \) is:
The product of a rational number and an irrational number is:
The simplest form of \( 0.57 \) is:
If \( 140 = 2^x \times 5^y \times 7^z \), then the value of \( x + y - z \) is:
The value of \( (6 + \sqrt{125}) - (3 + \sqrt{5}) + (1 - 4\sqrt{5}) \) is:
In the form \( \frac{p}{q} \) of 0.375, the form of \( q \) is:
If the product of the roots of the quadratic equation \( x^2 - 5x + p = 10 \) is -4, then the value of \( p \) is:
If \( (x - 2) \) is a factor of \( px^2 - x - 6 \), then the value of \( p \) is:
What is the nature of the roots of the quadratic equation \( \frac{4}{3}x^2 - 2x + \frac{3}{4} = 0 \)?
If one root of the quadratic equation \( y^2 + 3y - 18 = 0 \) is -6, then its other root is:
The roots of the quadratic equation \( ax^2 - bx - c = 0 \) are:
If \( x = 2 \) is a common root of the equations \( 2x^2 + 2x + p = 0 \) and \( qx + qx + 18 = 0 \), then the value of \( (q - p) \) is:
If \( A, B, C \) are angles of a triangle \( ABC \), then the value of \( \csc \left(\frac{A+B}{2}\right) \) is:
If the radius of a circle becomes \( k \) times, then the ratio of the areas of previous and new circles is:
What is the total perimeter of a semicircle whose radius is \( k \)?
The distance covered by a wheel of diameter 42 cm in 2 revolutions is:
A, B, C and D are four points on the circumference of a circle of radius 8 cm such that ABCD is a square. Then the area of square ABCD is:
Which of the following is a quadratic equation?
If the 7th term of an A.P. is 4 and its common difference is -4, then what is its first term?
If the sum of first \( n \) terms of an A.P. is \( 4n^2 + 2n \), then the common difference of A.P. is:
What is the reciprocal of \( \sin \theta \times \cot \theta \)?
\( \cot 12^\circ \times \cot 38^\circ \times \cot 52^\circ \times \cot 60^\circ \times \cot 78^\circ = \)?
Evaluate \( \csc(90^\circ - \theta) \cdot \cos(90^\circ - \theta) \):