Sample questions for Mathematics [CMP501] Chapter 1: What is the role of Mathematics in Computer Science? Chapter 2: Which of the following represents the set A = {1,4,9,16,25} A={x:x is a square of natural number and less than 30} A={x:x is an odd natural number less than 30} If B= {a,b,c}. Write the Power Set of B Write the properties of Set Operations. If A= {1,2} and B={a,b,c} Write the Cartesian product. If A= {1,2,3,7} and B={1,2,4,5} then find A B Chapter 3: Prove that: sum of the first odd numbers is equal to the nth square. “The ‘n’ Prove that 1+4+9+……+n2=n(n+1)(2n+1)/6 for all positive integers n Chapter 4: Write in brief the laws of Exponents. Simplify : (37x 3-2x30)/34 What is the simplest form of the surd Simplify 38+32-52 Write the Laws of Logarithms. Calculate (45.4)2/((3.2)2x(5.6)3) What is the value of log26 if log106 = 0.7782 and log102 = 0.3010 Chapter 5: Convert (30)10 to decimal. Convert (10001110)2 to decimal. Add +(10011)2 Find (1001)2-(110)2 Convert (157)8 to decimal Convert (25)10 to Octal Convert (19)16 to decimal Convert (10895)10 to Hexadecimal Chapter 6 Explain Rule of Addition and Rule of Multiplication. How many two symbol labels can be formed if the first symbol can be any capital letter from English alphabet and the second can be any digit? From 7 mangoes, 6 apples and 8 oranges, only one fruit is to be taken. In how many ways this can be done. Find 8! Write the formula of Permutation and Combination. A debating team consists of 4 boys and 3 Find the number of ways they can sit in a row.
Sample questions for Mathematics [CMP501] Chapter 1: What is the role of Mathematics in Computer Science? Chapter 2: Which of the following represents the set A = {1,4,9,16,25} A={x:x is a square of natural number and less than 30} A={x:x is an odd natural number less than 30} If B= {a,b,c}. Write the Power Set of B Write the properties of Set Operations. If A= {1,2} and B={a,b,c} Write the Cartesian product. If A= {1,2,3,7} and B={1,2,4,5} then find A B Chapter 3: Prove that: “The sum of the first ‘n’ odd numbers is equal to the nth square. Prove that 1+4+9+……+n2=n(n+1)(2n+1)/6 for all positive integers n Chapter 4: Write in brief the laws of Exponents. Simplify : (37x 3-2x30)/34 What is the simplest form of the surd Simplify 38+32-52 Write the Laws of Logarithms. Calculate (45.4)2/((3.2)2x(5.6)3) What is the value of log26 if log106 = 0.7782 and log102 = 0.3010 Chapter 5: Convert (30)10 to decimal. Convert (10001110)2 to decimal. Add +(10011)2 Find (1001)2-(110)2 Convert (157)8 to decimal Convert (25)10 to Octal Convert (19)16 to decimal Convert (10895)10 to Hexadecimal Chapter 6 Explain Rule of Addition and Rule of Multiplication. How many two symbol labels can be formed if the first symbol can be any capital letter from English alphabet and the second can be any digit? From 7 mangoes, 6 apples and 8 oranges, only one fruit is to be taken. In how many ways this can be done. Find 8! Write the formula of Permutation and Combination. A debating team consists of 4 boys and 3 Find the number of ways they can sit in a row.
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