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

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Let A = {1, 2, 3} and B = {x | x is a prime number less than 10}. Find A × B and B × A

[0.01] Relations and Functions
Chapter: [0.01] Relations and Functions
Concept: Ordered Pair

If B × A = {(-2, 3), (-2, 4), (0, 3), (0, 4), (3, 3), (3, 4)} find A and B

[0.01] Relations and Functions
Chapter: [0.01] Relations and Functions
Concept: Ordered Pair

Multiple Choice Question :

If the ordered pairs (a + 2, 4) and (5, 2a + b) are equal then (a, b) is

[0.01] Relations and Functions
Chapter: [0.01] Relations and Functions
Concept: Ordered Pair

If the ordered pairs (x2 – 3x, y2 + 4y) and (– 2, 5) are equal, then find x and y

[0.01] Relations and Functions
Chapter: [0.01] Relations and Functions
Concept: Ordered Pair

Find all positive integers, when divided by 3 leaves remainder 2

[0.02] Numbers and Sequences
Chapter: [0.02] Numbers and Sequences
Concept: Euclid’s Division Lemma

Prove that the product of two consecutive positive integers is divisible by 2

[0.02] Numbers and Sequences
Chapter: [0.02] Numbers and Sequences
Concept: Euclid’s Division Lemma

When the positive integers a, b and c are divided by 13, the respective remainders are 9, 7 and 10. Show that a + b + c is divisible by 13

[0.02] Numbers and Sequences
Chapter: [0.02] Numbers and Sequences
Concept: Euclid’s Division Lemma

Prove that square of any integer leaves the remainder either 0 or 1 when divided by 4

[0.02] Numbers and Sequences
Chapter: [0.02] Numbers and Sequences
Concept: Euclid’s Division Lemma

If d is the Highest Common Factor of 32 and 60, find x and y satisfying d = 32x + 60y

[0.02] Numbers and Sequences
Chapter: [0.02] Numbers and Sequences
Concept: Euclid’s Division Lemma

A positive integer, when divided by 88, gives the remainder 61. What will be the remainder when the same number is divided by 11?

[0.02] Numbers and Sequences
Chapter: [0.02] Numbers and Sequences
Concept: Euclid’s Division Lemma

Prove that two consecutive positive integers are always co-prime

[0.02] Numbers and Sequences
Chapter: [0.02] Numbers and Sequences
Concept: Euclid’s Division Lemma

Euclid’s division lemma states that for positive integers a and b, there exist unique integers q and r such that a = bq + r, where r must satisfy

[0.02] Numbers and Sequences
Chapter: [0.02] Numbers and Sequences
Concept: Euclid’s Division Lemma

Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are

[0.02] Numbers and Sequences
Chapter: [0.02] Numbers and Sequences
Concept: Euclid’s Division Lemma

Prove that n2 – n divisible by 2 for every positive integer n

[0.02] Numbers and Sequences
Chapter: [0.02] Numbers and Sequences
Concept: Euclid’s Division Lemma

When the positive integers a, b and c are divided by 13 the respective remainders is 9, 7 and 10. Find the remainder when a b + + 2 3c is divided by 13

[0.02] Numbers and Sequences
Chapter: [0.02] Numbers and Sequences
Concept: Euclid’s Division Lemma

Show that 107 is of the form  4q +3 for any integer q

[0.02] Numbers and Sequences
Chapter: [0.02] Numbers and Sequences
Concept: Euclid’s Division Lemma

Solve the following system of linear equations in three variables

x + y + z = 5; 2x – y + z = 9; x – 2y + 3z = 16

[0.03] Algebra
Chapter: [0.03] Algebra
Concept: Simultaneous Linear Equations in Three Variables

Solve the following system of linear equations in three variables

`1/x - 2/y + 4 = 0; 1/y - 1/z + 1 = 0; 2/z + 3/x = 14`

[0.03] Algebra
Chapter: [0.03] Algebra
Concept: Simultaneous Linear Equations in Three Variables

Solve the following system of linear equations in three variables

x + 20 = `(3y)/2 + 10` = 2z + 5 = 110 – (y + z)

[0.03] Algebra
Chapter: [0.03] Algebra
Concept: Simultaneous Linear Equations in Three Variables

Discuss the nature of solutions of the following system of equations

x + 2y – z = 6; – 3x – 2y + 5z = – 12; x – 2z = 3

[0.03] Algebra
Chapter: [0.03] Algebra
Concept: Simultaneous Linear Equations in Three Variables
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Question Bank Solutions for SSLC (English Medium) Class 10th Tamil Nadu Board of Secondary Education Mathematics. You can further filter Question Bank Solutions by subjects and topics. Solutions for most of the questions for Tamil Nadu Board of Secondary Education can be found here on Shaalaa.com. You can use these solutions to prepare for your studies and ace in exams. Solving questions is a great way to practice and with Shaalaa.com, you can answer a question and then also check your answer with the solutions provided.
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