Mathematics (Mixed)
Description: This test covers various sectional and subject wise questions of CBSE, ICSE class XI & Class XII. Practice questions of mathematics to prepare for board exams | |
Number of Questions: 15 | |
Created by: Shaka Gupte | |
Tags: Mathematics exam preparation Math practice test Math questions board exam preparation mixed tests for class XI and XII Trigonometric Ratios and Identities Trigonometric Functions Discriminant and Roots Complex Numbers and Quadratic Equations Permutation and Combination Permutations and Combinations 2-D Geometry Straight Lines Cube Roots/Nth Roots of Unity Probability |
The number 2006 is made up of exactly two zeros and two other digits whose sum is 8. What is the number of 4 digit numbers with these properties (including 2006)?
There are 6 pockets in the coat of a person. In how many ways can he put 4 pens in these pockets?
5 Indian and 5 American couples meet at a party and shake hands. If no wife shakes hands with her own husband and no Indian wife shakes hands with a male, then find the number of hand shakes that took place in the party.
On a graph paper, an insect moves from origin O and covers a distance of 4√3 in the direction of 60° east of north and reaches point A. Then, it turns and moves due south and reaches point B on x-axis and again it turns and reaches to the origin. What is the equation of line OB?
Let p and q be the real roots of the equation x2 - 4x + A = 0 and let r and s be the real roots of the equation x2 - 12x + B = 0, where A and B are positive integers. If p, q, r, s are in arithmetic progression and p < q < r < s, then find the value of A*B.
What is the area enclosed by line 2|x| + 3|y| < = 6?
What is the area of the circle in which a chord of length 2a makes an angle θ at its centre?
On a graph paper, an insect moves from origin O and covers a distance of 4√3 in the direction of 60° east of north and reaches point A. Then, it turns and moves due south and reaches point B on x-axis and again it turns and reaches to the origin. What is the equation of line AB?
If the extremities of hypotenuse of a right-angled triangle are (2, 0) and (0, 2), then what is the locus of its third vertex?
On a graph paper, an insect moves from origin O and covers a distance of 4√3 in the direction of 60° east of north and reaches point A. Then, it turns and moves due south and reaches point B on x-axis and again it turns and reaches to the origin. What is the equation of line OA?
In a family, grandfather has 3 sons and 24 grandsons. First son has x children and second son has x + 1 children. If children of different parents shake hands with each other, (i.e. no children of the same parents shake hands among themselves), find the maximum possible number of hand shakes that can take place.
Which of the following represents the real part of ee^iθ?
On a graph paper, an insect moves from origin O and covers a distance of 4√3 in the direction of 60° east of north and reaches point A. Then, it turns and moves due south and reach point B on x-axis and again it turns and reaches to origin. What is the equation of median through A?
If α, β, γ are roots of the equation x3 - 3x2 + 3x + 7 = 0 (and ω is imaginary cube root of unity), then find the value of (α - 1)/(β - 1) + (β - 1)/(γ - 1) + (γ - 1)/(α - 1).
Two distinct numbers a and b are chosen randomly from the set {2, 22, 23, 24, ------ 225} (25 numbers are there). Find the probability that logab (log b to the base a) is an integer.