Telangana Board Class 10 Mathematics — Flashcards for Quick Revision

A: Step 1: The number must be a multiple of 5, so test 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. Step 2: It must leave remainder 3 when divided by 4, so check 5, 15, 25, 35, 45. Step 3: It must leave remain

A: For division by 2: 35 = 2 × 17 + 1 For division by 3: 35 = 3 × 11 + 2 For division by 4: 35 = 4 × 8 + 3 For division by 5: 35 = 5 × 7 + 0 Check: In each case, the remainder is less than the divisor.

A: Step 1: Divide 13 by 3. Step 2: 3 × 4 = 12, and 13 - 12 = 1. Step 3: So q = 4 and r = 1. Check: 13 = 3 × 4 + 1, and 0 ≤ 1 < 3.

A: Step 1: List the multiples of 3 less than 20. Step 2: They are 3, 6, 9, 12, 15, 18. Step 3: Write them in braces. Answer: A = {3, 6, 9, 12, 15, 18}.

A: Formula: Q = {x : x = (p)/(q), p, q are integers and q != 0}. Meaning: Every rational number can be written as a fraction of two integers, with non-zero denominator. Quick example: (5)/(6) and (-3)/(4

A: Step 1: A set does not repeat elements. Step 2: The letters in SCHOOL are s, c, h, o, o, l. Step 3: The repeated letter o is written only once. Answer: {s, c, h, o, l}.

A: Step 1: The highest power of x is 1. Step 2: So the degree is 1. Step 3: A degree-1 polynomial is a linear polynomial. Answer: 3x + 5 is a linear polynomial of degree 1.

A: Step 1: Look at the highest power of x. Step 2: The highest power is 2. Step 3: So the degree is 2. Answer: The polynomial is quadratic and its degree is 2.

A: Step 1: The highest power of x is 3. Step 2: So the degree is 3. Step 3: A degree-3 polynomial is cubic. Answer: 5x^3 - 4x^2 + x - 1 is a cubic polynomial of degree 3.