SSLC (English Medium) Class 10 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

Let A = {1, 2, 3, 7} and B = {3, 0, –1, 7}, the following is relation from A to B?

R₄ = {(7, –1), (0, 3), (3, 3), (0, 7)}

Let A = {1, 2, 3, 4, …, 45} and R be the relation defined as “is square of ” on A. Write R as a subset of A × A. Also, find the domain and range of R

A Relation R is given by the set `{(x, y)/y = x + 3, x ∈ {0, 1, 2, 3, 4, 5}}`. Determine its domain and range

Represent the given relation by
(a) an arrow diagram
(b) a graph and
(c) a set in roster form, wherever possible

{(x, y) | x = 2y, x ∈ {2, 3, 4, 5}, y ∈ {1, 2, 3, 4}

Represent the given relation by
(a) an arrow diagram
(b) a graph and
(c) a set in roster form, wherever possible

{(x, y) | y = x + 3, x, y are natural numbers < 10}

A company has four categories of employees given by Assistants (A), Clerks (C), Managers (M), and an Executive Officer (E). The company provides ₹ 10,000, ₹ 25,000, ₹ 50,000, and ₹ 1,00,000 as salaries to the people who work in the categories A, C, M, and E respectively. If A₁, A₂, A₃, A_4, and A₅ were Assistants; C₁, C₂, C₃, C₄ were Clerks; M₁, M₂, M₃ were managers and E₁, E₂ was Executive officers and if the relation R is defined by xRy, where x is the salary given to person y, express the relation R through an ordered pair and an arrow diagram

Multiple Choice Question :

If there are 1024 relation from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is

Multiple Choice Question :

The range of the relation R = {(x, x²) | x is a prime number less than 13} is ________

Multiple Choice Question :

Let n(A) = m and n(B) = n then the total number of non-empty relation that can be defined from A to B is ________.

Let A = {9, 10, 11, 12, 13, 14, 15, 16, 17} and let f : A → N be defined by f(n) = the highest prime factor of n ∈ A. Write f as a set of ordered pairs and find the range of f

Find the domain of the function f(x) = `sqrt(1 + sqrt(1 - sqrt(1 - x^2)`

A man has 532 flower pots. He wants to arrange them in rows such that each row contains 21 flower pots. Find the number of completed rows and how many flower pots are left over

Use Euclid’s Division Algorithm to find the Highest Common Factor (H.C.F) of 340 and 412

Use Euclid’s Division Algorithm to find the Highest Common Factor (H.C.F) of 867 and 255

Use Euclid’s Division Algorithm to find the Highest Common Factor (H.C.F) of 10224 and 9648

Use Euclid’s Division Algorithm to find the Highest Common Factor (H.C.F) of 84, 90 and 120

Find the largest number which divides 1230 and 1926 leaving remainder 12 in each case

If the H.C.F of 65 and 117 is expressible in the form of 65m – 117, then the value of m is

The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

A milk man has 175 litres of cow’s milk and 105 litres of buffalow’s milk. He wishes to sell the milk by filling the two types of milk in cans of equal capacity. Calculate the following :

Capacity of a can