List of practice Questions

If H.C.F. of two numbers is 25 and L.C.M is 50, then the product of numbers will be:
If in the division algorithm \( a = bq + r \), given \( b = 61 \), \( q = 27 \), and \( r = 32 \), then the value of \( a \) is:
Which of the following is an arithmetic progression (A.P.)?
For what value of \( p \), do the terms \( (2p + 1), 13, (5p - 3) \) form an A.P.?
If \( a_n \) is the \( n \)th term of A.P. \( 3, 8, 13, 18, \dots \), then what is the value of \( a_{25} - a_{10} \)?
The second term of an A.P. is 13 and its fifth term is 25. The common difference of the A.P. is:
If the sum of the first \( n \) terms of an arithmetic sequence is given by \( S_n = 5n - n^2 \), then the common difference of the sequence is:
\( \sqrt{\frac{64}{81}} + \sqrt{\frac{16}{9}} \) 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: