Description : Let P(m,n) be the statement m divides n where the Universe of discourse for both the variables is the set of positive integers. Determine the truth values of the following propositions. (a) ∃m ∀n P(m,n) (b) ∀n P(1,n) ( ... -False (C) (a)-False; (b)-False; (c)-False (D) (a)-True; (b)-True; (c)-True
Last Answer : Answer: A
Description : If `21168=x^(4)xxy^(3)xxz^(2)`, find `(x+y+z)^((y+z)/(x+y))`, where `x, y` and `z` are positive integers.
Last Answer : If `21168=x^(4)xxy^(3)xxz^(2)`, find `(x+y+z)^((y+z)/(x+y))`, where `x, y` and `z` are positive integers.
Description : Let ABCD be a parallellogram. Let m and n be positive integers such that n < m < 2n. Let AC = 2 mn -Maths 9th
Last Answer : answer:
Description : Which of the following is not the same set of numbers A) counting numbers (B) positive integers (C) whole numbers (D) natural numbers?
Last Answer : C. whole numbers can be negative and don't match the other sets
Description : The relation "divides" on a set of positive integers is .................. (A) Symmetric and transitive (B) Anti symmetric and transitive (C) Symmetric only (D) Transitive only
Last Answer : (B) Anti symmetric and transitive Explanation: The ‘divide’ operation is antisymmetric because if a divides b does not necessarily implies that b divides a. If a divides b and b divides c then a divides c. So, it is transitive as well.
Description : If n and r are non-negative integers and n≥r, then p(n + 1, r) equals to (A) P(n,r)(n+1) / (n+1-r) (B) P(n,r)(n+1) / (n-1+r) (C) p(n,r)(n-1) / (n+1-r) (D) p(n,r)(n+1) / (n+1+r)
Last Answer : (A) P(n,r)(n+1) / (n+1-r) Explanation: p(n, r) = n!/(n-r)! p( n+1, r) = (n+1)!/(n+1-r)! = (n+1) n! /(n+1-r) (n-r)! = P(n, r)(n+1)/(n+1-r)
Description : Let R be a relation on the set of integers given by a = 2^k .b for some integer k. Then R is -Maths 9th
Last Answer : (c) equivalence relationGiven, a R b = a = 2k .b for some integer. Reflexive: a R a ⇒ a = 20.a for k = 0 (an integer). True Symmetric: a R b ⇒ a = 2k b ⇒ b = 2-k . a ⇒ b R a as k, -k are both ... = 2k1 + k2 c, k1 + k2 is an integer. ∴ a R b, b R c ⇒ a R c True ∴ R is an equivalence relation.
Description : If there are n integers to sort, each integer has d digits and each digit is in the set {1,2, ..., k}, radix sort can sort the numbers in: (A) O(d n k) (B) O(d nk) (C) O((d+n)k) (D) O(d(n+k))
Last Answer : (D) O(d(n+k))
Description : Consider the following statements : 1. a^n + b^n is divisible by a + b if n = 2k + 1, where k is a positive integer. -Maths 9th
Last Answer : Statement (1) is correct as for k = 1, n = 2 × 1 + 1 = 3. ∴ a3 + b3 = (a + b) (a2 + b2 – ab) which is divisible by (a + b), statement (2) is also correct as for k = 1, n = 2, ∴ a2 – b2 = (a – b) (a + b) which is divisible by (a – b).
Description : Which of the following statement(s) is/are FALSE in the context of Relational DBMS ? I. Views in a database system are important because they help with access control by allowing users to see only a particular subset of the data ... (B) III and IV only (C) I, II and III only (D) II, III and IV only
Last Answer : (D) II, III and IV only
Description : Neutrinos are a subset of which of the following categories? w) photons x) leptons y) mesons z) baryons
Last Answer : ANSWER: X -- LEPTONS
Description : acode is simply a subset of the vertices ofthe a. n bit b. ncube c. n single d. n double
Last Answer : b. ncube
Description : Independent auditing can best be described as a a. Subset or branch of accounting. b. Professional activity that measures and communicates financial accounting data. c. A discipline or ... of financial statements. d. Regulatory activity that prevents the issuance of improper financial information
Last Answer : A discipline or professional activity that attests to the fair presentation of financial statements.
Description : Read the following statements: I) Information and Communication Technology (ICT) is considered as a subset of Information Technology (IT) II) The 'right to use' a piece of software is termed as copyrights
Last Answer : II) The 'right to use' a piece of software is termed as copyrights
Description : Reflexivity property says that X Y is true if Y is …………………. A) Subset of X B) Null set of X C) Super set of Y D) Subset of Y
Last Answer : A) Subset of X
Description : An integer is chosen at random from the first two hundred positive integers. What is the probability that the integer chosen is divisible by 6 or 8 ? -Maths 9th
Last Answer : As there are 200 integers, total number of exhaustive, mutually exclusive and equally likely cases, i.e, n(S) = 200 Let A : Event of integer chosen from 1 to 200 being divisible by 6⇒ n(A) = 33 \(\bigg(rac{200}{6}=33rac{1}{3}\ ... (rac{25}{200}\) - \(rac{8}{200}\) = \(rac{50}{200}\) = \(rac{1}{4}\).
Description : If a, b, c are distinct positive integers, then ax^(b–c) + bx^(c–a) + cx^(a–b) is -Maths 9th
Description : Which number is a counterexample for the following conjectureConjecture: All integers are either positive or negative.?
Last Answer : A+0
Description : If the equation x2 minus ax plus 2b equals 0 has prime roots where a and b are positive integers then a minus b is equal to?
Last Answer : I think you mean the roots are prime numbers.Let the two roots be primes p and qThen the equation factorises to (x - p)(x - q) = 0 which can beexpanded to give:x² - (p + q)x + pq = 0Which comparing ... = 2(It doesn't matter if the other prime is even (2) or not as itcancels out from a - b.)
Description : Think of 5 positive integers that have a mode of 4 and 6, a median of 6 and a mean of 7.?
Last Answer : Think of 5 positive integers that have a mode of 4 and 6, a median of 6 and a mean of 7.
Description : For any two positive integers a and b, HCF (a, b) × LCM (a, b) = (a) 1 (b) (a × b)/2 (c) a/b (d) a × b
Last Answer : (d) a × b
Description : Consider the following statements regarding the formation of P-N junctions: 1. Holes diffuse across the junction from P-side to N-side 2. The depletion layer is wiped out. 3. There is continuous flow of current across the junction 4 ... correct? (a) 1 and 3 (b) 2 and 3 (c) 1 and 4 (d) 2 and 4
Last Answer : Ans: (c) When a pn-junction is formed, there will be diffusion of carries across the junctions followed by recombination, and the creation of a depletion layer across which a ... potential is established, which will prevent further diffusion of carries across the junction, leading to equilibrium
Description : Compute the value of adding the following two fuzzy integers: A = {(0.3,1), (0.6,2), (1,3), (0.7,4), (0.2,5)} B = {(0.5,11), (1,12), (0.5,13)} Where fuzzy addition is defined as μA+B(z) = maxx+y=z (min(μA(x), μB( ... ,18)} (D) {(0.3,12), (0.5,13), (0.6,14), (1,15), (0.7,16), (0.5,17), (0.2,18)}
Last Answer : (D) {(0.3,12), (0.5,13), (0.6,14), (1,15), (0.7,16), (0.5,17), (0.2,18)}
Description : If n integers taken at random are multiplied together, then the probability that the last digit of the product is 1, 3, 7 or 9 is -Maths 9th
Last Answer : (d) 226 × 52C26 | 104C26Since there are 52 distinct cards in a deck and each distinct card is 2 in number.∴2 decks will also contain only 52 distinct cards, two each.∴ Probability that the player gets all distinct cards = \(rac{^{52}C_{26} imes2^{26}}{^{104}C_{26}}\).
Description : Which of the following algorithms sort n integers, having the range 0 to (n2 -1), in ascending order in O(n) time ? (A) Selection sort (B) Bubble sort (C) Radix sort (D) Insertion sort
Last Answer : (C) Radix sort
Description : A tree with n vertices is called graceful, if its vertices can be labelled with integers 1, 2, ...,n such that the absolute value of the difference of the labels of adjacent vertices are all different. Which of the following trees are ... (B) (b) and (c) (C) (a) and (c) (D) (a), (b) and (c)
Last Answer : Answer: D
Description : What are the properties of the power set of the set of all integers?
Last Answer : answer:Do you know what a power set is? If not, see the definition. Basically, you are dealing with sets instead of numbers. Each element of the domain and codomain is either a set of integers or ... or not explained enough in this answer. If you need me to elaborate on anything here, let me know.
Description : I is the set of integers. Describe the following relations in words, giving its domain and range. -Maths 9th
Last Answer : R = {(0, 0), (1, – 1), (2, – 2), (3, – 3) ...} = {(x, y) : y = – x, x ∈ W} Domain = {0, 1, 2, 3, ....} = W, Range = {...,– 3, – 2, – 1, 0}
Description : Let f and g be the functions from the set of integers to the set integers defined by f(x) = 2x + 3 and g(x) = 3x + 2 Then the composition of f and g and g and f is given as (A) 6x + 7, 6x + 11 (B) 6x + 11, 6x + 7 (C) 5x + 5, 5x + 5 (D) None of the above
Last Answer : (A) 6x + 7, 6x + 11 Explanation: fog(x)=f(g(x))=f(3x+2)=2(3x+2)+3=6x+7 gof(x)=g(f(x))=g(2x+3)=3(2x+3)+2=6x+11
Description : Which of the following is/are not true? (a) The set of negative integers is countable. (b) The set of integers that are multiples of 7 is countable. (c) The set of even integers is countable. (d) The set of real numbers between 0 ... . (A) (a) and (c) (B) (b) and (d) (C) (b) only (D) (d) only
Last Answer : (D) (d) only
Description : Consider the following conditions : (a) The solution must be feasible, i.e. it must satisfy all the supply and demand constraints. (b) The number of positive allocations must be equal to m+n-1, where m is the number of rows and n is ... B) (a) and (c) only (C) (b) and (c) only (D) (a), (b) and (c)
Last Answer : (D) (a), (b) and (c)
Description : Consider the following statements: 1. When a nerve fibre is stimulated, a profound change is produced in the electrical properties of surface membrane and in steady potential. 2. Upon excitation, the resting potentialis suddenly changed. 3. It is due ... 1, 2, 3 (b) 2, 3 (c) 1, 2, 3, 4 (d) 1, 2, 4
Last Answer : Ans:(d)
Description : Consider the following statements: 1. Even when a nerve cell is not conducting an impulse, it is actively transporting K+ and Na+ ions in and out respectively against their concentration gradients at the expense of energy 2. As a ... is/are untrue? (a) 1 only (b) 1, 2, 4 (c) 2, 4 (d) 4 only
Description : Consider the following statements: Sinking of an intermediate support of a continuous beam 1. Reduces the negative moment at support. 2. Increases the negative moment at support. 3. Reduces the positive moment at ... 1 and 3 are correct (C) 2 and 3 are correct (D) 2 and 4 are correct
Last Answer : (A) 1 and 4 are correct
Description : If f:X->Y is continuous and x is a limit point of subset A of X, is f(x) a limit point of f(A)?
Last Answer : And here’s me, thinking i was the only one who heard that rumour…
Description : How do you calculate change in concentration of a specific subset of a population?
Last Answer : Statistics can be a bear, right? Whenever you're doing percentage work, make sure you keep asking yourself what the percentage is OF-that is, this figure represents X% of what? Here you need to ... the percentage doesn't have any relation to the larger population. Not really what you're looking for.
Description : HTML is a subset of ……… . -Technology
Last Answer : HTML is a subset of SGML.
Description : XML is subset of ……….. . -Technology
Last Answer : XML is subset of SGML.
Description : How to select a subset of a Python dictionary -Web-Development
Description : What is a mass subset ?
Last Answer : subset species of the genus.
Description : What is a class subset ?
Last Answer : class subset class.
Description : What is an actual subset ?
Last Answer : Proper Subset : Proper Subset : The subsets of a set that have less number of elements than the number of elements in the given set are called actual subsets. Such as A = {3,4,5,6 and B = {3,5} two sets. Here all the elements of B exist in A set.
Description : What is Subset ?
Last Answer : Subset means subset.
Description : What is a subset ?
Last Answer : If every element of A set is a component of B , in contrast B is a member of set A, then A is called a subset of B.
Description : What is a subset of 1 4 7 10 13 16 19 22?
Last Answer : {4} is one example, {4, 13, 4, 16, 4} is another.
Description : What is the subset of 3?
Last Answer : Feel Free to Answer
Description : Can one export a subset of a table? (for DBA
Last Answer : From Oracle8i one can use the QUERY= export parameter to selectively unload a subset of the data from a table. Look at this example: exp scott/tiger tables=emp query=\"where deptno=10\"
Description : The standard ASCII A. is version II of ASC B. is used only in US and Canada C. has 132 characters including 32 control characters D. is subset of 8-bit EBCDIC code
Last Answer : C. has 132 characters including 32 control characters
Description : ________is the subset of e-commerce focused on transaction. a) E-business b) E-marketing c) Digital technology d) Environment, strategy, performance(ESP)
Last Answer : d) Environment, strategy, performance(ESP)
Description : Which statement is true regarding the user exec and privileged exec mode? A. They both require the enable password B. User exec is a subset of the privileged exec C. The '?' only works in Privileged exec D. They are identica
Last Answer : User exec is a subset of the privileged exec