List of practice Questions

\( \sqrt{\frac{64}{81}} + \sqrt{\frac{16}{9}} \) is:
The product of two irrational numbers \( 3 + \sqrt{6} \) and \( 3 - \sqrt{5} \) will be a:
Which of the following numbers cannot be the probability of an event?
What is the probability of not getting an odd number in a throw of a die once?
If \( 2a + 3b = 8 \) and \( 3a - 4b = -5 \), then the values of \( a \) and \( b \) are:
The pair of linear equations \( 2x - 3y = 8 \) and \( 4x - 6y = 9 \) are:
The graphs of the equations \( 2x + 3y = 4 \) and \( 4x + 6y = 12 \) are which type of straight lines?
How many solutions does the system of linear equations \( 2x - 3y + 1 = 0 \) and \( 3x + y + 2 = 0 \) have?
For what value of \( k \), does the system of equations \( x + 2y = 3 \) and \( 5x + ky = 15 \) have infinite solutions?
The mode of 0, 6, 5, 1, 6, 4, 3, 0, 2, 6, 5, 6 is:
If a class interval has a median class of 48-64 and mode class of 46-52, then its mean is:
If the mean of five observations \( x, x+2, x+4, x+6, x+8 \) is 11, then the value of \( x \) is:
What is the probability of an impossible event?
If \( P(E) = 0.4 \), then the value of \( P(E') \) is:
In the throw of two dice, the number of possible outcomes is:
Which of the following polynomial has roots 4 and -2?
If \( \alpha \) and \( \beta \) are the zeroes of the polynomial \( p(x) = x^2 + 3x - 4 \), then the value of \( \frac{\alpha \beta}{4} \) is:
If one zero of the polynomial \( q(x) \) is -3, then one factor of \( q(x) \) is:
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?