CUET (UG) entrance exam Question Bank Solutions for Mathematics

A number consists of two digits and the digit in the ten's place exceeds that in the unit's place by 5. If 5 times the sum of the digits be subtracted from the number, the digits of the number are reversed. Then the sum of digits of the number is:

General solution of tan 5θ = cot 2θ is

Solution of the equation 3 tan(θ – 15) = tan(θ + 15) is

A matrix is said to be a column matrix if it has

A matrix is said to be a row matrix, if it has

A square matrix B = [b_ÿ] m × m is said to be a diagonal matrix if all diagonal elements are

A diagonal matrix is said to be a scalar matrix if its diagonal elements are

A square matrix in which elements in the diagonal are all 1 and rest are all zero is called an

If all the elements are zero, then matrix is said to be

A = `[a_(ij)]_(m xx n)` is a square matrix, if

The number of all possible matrices of order 3/3, with each entry 0 or 1 is

If A, B are Symmetric matrices of same order, then AB – BA is a

If 'A' is square matrix, such that A² = A, then (7 + A)³ = 7A is equal to

Find X, If `[X - 5 - 1] [(1, 0, 2),(0, 2, 1),(2, 0, 3)][(x),(4),(1)] ` = 0

Let 'A' be a square matrix of order 3 × 3, then |KA| is equal to:

Which of the following is correct?

If the radius of a sphere is measured as 9 m with an error of 0.03 m. the find the approximate error in calculating its surface area

If `(x) = 3x^2 + 15x + 5`, then the approximate value of `f(3.02)` is

The approximate change in volume of a cube of side `x` meters coverd by increasing the side by 3% is

The number of arbitrary constant in the general solution of a differential equation of fourth order are