Code With Abhinav

  Numbers In Decimal number system, there are ten symbols namely 0,1,2,3,4,5,6,7,8 and 9 called digits. A number is denoted by group of these digits called as numerals. Face Value Face value of a digit in a numeral is value of the digit itself. For example in 321, face value of 1 is 1, face value of 2 is 2 and face value of 3 is 3. Place Value Place value of a digit in a numeral is value of the digit multiplied by 10 n  where n starts from 0. For example in 321: Place value of 1 = 1 x 10 0  = 1 x 1 = 1 Place value of 2 = 2 x 10 1  = 2 x 10 = 20 Place value of 3 = 3 x 10 2  = 3 x 100 = 300 0 th  position digit is called unit digit and is the most commonly used topic in aptitude tests. Types of Numbers Natural Numbers  - n > 0 where n is counting number; [1,2,3...] Whole Numbers  - n ≥ 0 where n is counting number; [0,1,2,3...]. 0 is the only whole number which is not a natural number. Every natural number is a whole number. Integers  - n ≥ 0 or n ≤ 0 where n is counting number;...,-3

  1. Find the number of factors of 120. (a) 16      (b) 12     (c) 8        (d) 10 2. Find the unit digit of 2354 1048 (a) 4 (b) 6 (c) 8 (d) none of these 3. When a two digit number is reversed it gets decreased by 72, what is the number?                                   (a) 81 (b) 72 (c) 91 (d) 64 4. Find the number of zeroes in 154! (a) 35 (b) 31 (c) 34 (d) 37 5. Find the first non zero digit in 100! (a) 6 (b) 8 (c) 4 (d) 3 6. Find the unit digit of 248 1587 . (a) 2 (b) 4 (c) 8 (d) 6 7. Rahul scored 78, 56 and 89 marks in Science, Social and Mathematics. Later it was found that his marks were reversed and entered. How much marks should be added to get correct total?                         (a) 18 (b) 24 (c) 27 (d) 15 8. If all the 3 are replaced by 6, then the algebraic sum of all the numbers from 1 to 100 (both inclusive) varies by ____. (a) 500 (b) 360 (c) 450 (d) 330 9. Find the sum of the factors of 1000 (a) 2340                (b) 1560        

  Finite Automata and Regular Expressions-1 1. Number of states of FSM required to simulate behaviour of a computer with a memory capable of storing “m” words, each of length ‘n’ a) m x 2^n b) 2^mn c) 2^(m+n) d) All of the mentioned View Answer Answer: b Explanation: For every Data here length is n and memory’s state is defined in terms of power of 2, Here the total memory capability for all the words = mn Hence the number of states is2^mn. 2. An FSM with a) M can be transformed to Numeral relabeling its states b) M can be transformed to N, merely relabeling its edges c) Both of the mentioned d) None of the mentioned View Answer Answer: c Explanation: The Definition of FSM states that M can be transformed to N by relabeling its states or its edges. 3. Which of the following is right? a) A Context free language can be accepted by a deterministic PDA b) union of 2 CFLs is context free c) The intersection of two CFLs is context free d) The complement of CFLs is context free View Answer An