Rational Solver - Recent questions and answers https://rationalsolver.com/qa Powered by Question2Answer Answered: Q15. Find number of bijection from N to N such that https://rationalsolver.com/16604/q15-find-number-of-bijection-from-n-to-n-such-that?show=16605#a16605 MA2021 https://rationalsolver.com/16604/q15-find-number-of-bijection-from-n-to-n-such-that?show=16605#a16605 Sun, 16 Jul 2023 17:59:14 +0000 Answered: Q14. The group (Q, +) has no proper subgroup of finite index. https://rationalsolver.com/16602/q14-the-group-q-has-no-proper-subgroup-of-finite-index?show=16603#a16603 MA2021 https://rationalsolver.com/16602/q14-the-group-q-has-no-proper-subgroup-of-finite-index?show=16603#a16603 Sun, 16 Jul 2023 17:37:01 +0000 Answered: Q11. Then the dimension of W over R is necessarily? https://rationalsolver.com/16600/q11-then-the-dimension-of-w-over-r-is-necessarily?show=16601#a16601 MA2021 https://rationalsolver.com/16600/q11-then-the-dimension-of-w-over-r-is-necessarily?show=16601#a16601 Sun, 16 Jul 2023 17:26:38 +0000 Answered: How many elements of the group Z50 have order 10? https://rationalsolver.com/16597/how-many-elements-of-the-group-z50-have-order-10?show=16599#a16599 MA2021 https://rationalsolver.com/16597/how-many-elements-of-the-group-z50-have-order-10?show=16599#a16599 Sun, 16 Jul 2023 17:16:09 +0000 Answered: Q5: When $\lim_{t \to \infty} I(p, t)$ is finite https://rationalsolver.com/16595/q5-when-lim-t-to-infty-i-p-t-is-finite?show=16596#a16596 MA2021 https://rationalsolver.com/16595/q5-when-lim-t-to-infty-i-p-t-is-finite?show=16596#a16596 Sun, 16 Jul 2023 17:04:38 +0000 Answered: Q4: Let f : R → R be a continuous function such that for all x ∈ R https://rationalsolver.com/16593/q4-let-f-r-r-be-a-continuous-function-such-that-for-all-x-r?show=16594#a16594 MA2021 https://rationalsolver.com/16593/q4-let-f-r-r-be-a-continuous-function-such-that-for-all-x-r?show=16594#a16594 Sun, 16 Jul 2023 17:00:51 +0000 Answered: The number of differentiable functions y : [0, 1] → [0, ∞), having continuous derivative on [0, 1] and satisfying https://rationalsolver.com/16591/differentiable-functions-continuous-derivative-satisfying?show=16592#a16592 MA2021 https://rationalsolver.com/16591/differentiable-functions-continuous-derivative-satisfying?show=16592#a16592 Sun, 16 Jul 2023 16:33:06 +0000 Answered: Q2. Let P : R → R be a continuous function such that P(x) > 0 for all x ∈ R. https://rationalsolver.com/16589/q2-let-p-r-r-be-a-continuous-function-such-that-p-x-0-for-all-x-r?show=16590#a16590 MA2021 https://rationalsolver.com/16589/q2-let-p-r-r-be-a-continuous-function-such-that-p-x-0-for-all-x-r?show=16590#a16590 Sun, 16 Jul 2023 16:29:00 +0000 Answered: Q3. Let f : R → R be a continuous function satisfying f(x) = f(x + 1) for all x ∈ R. https://rationalsolver.com/16587/q3-let-r-r-be-a-continuous-function-satisfying-f-x-f-x-1-for-all?show=16588#a16588 MA2021 https://rationalsolver.com/16587/q3-let-r-r-be-a-continuous-function-satisfying-f-x-f-x-1-for-all?show=16588#a16588 Sun, 16 Jul 2023 16:25:26 +0000 Answered: Q4. Which one of the following subsets of $\mathbb{R}$ has a non-empty interior? https://rationalsolver.com/16585/which-one-the-following-subsets-mathbb-has-non-empty-interior?show=16586#a16586 MA2021 https://rationalsolver.com/16585/which-one-the-following-subsets-mathbb-has-non-empty-interior?show=16586#a16586 Sun, 16 Jul 2023 16:20:49 +0000 Let $\tau_1, \tau_2,....,\tau_a$ be transpositions https://rationalsolver.com/16583/let-tau1-tau2-taua-be-transpositions https://rationalsolver.com/16583/let-tau1-tau2-taua-be-transpositions Fri, 13 Jan 2023 16:13:30 +0000 Answered: If M is a n x n matrix with rank n - 1, then M can be made non-singular by changing one element. https://rationalsolver.com/16580/matrix-with-rank-then-can-made-singular-changing-one-element?show=16581#a16581 WBJEE2022 https://rationalsolver.com/16580/matrix-with-rank-then-can-made-singular-changing-one-element?show=16581#a16581 Thu, 21 Jul 2022 16:51:27 +0000 Answered: WBJEE 2022 - Question 3 - Find the value of a+d. https://rationalsolver.com/16578/wbjee-2022-question-3-find-the-value-of-a-d?show=16579#a16579 WBJEE2022 https://rationalsolver.com/16578/wbjee-2022-question-3-find-the-value-of-a-d?show=16579#a16579 Tue, 07 Jun 2022 17:42:26 +0000 Answered: WBJEE 2022 - Question 1 - Under which of the following condition(s) does(do) the system of equations https://rationalsolver.com/16576/question-under-which-following-condition-system-equations?show=16577#a16577 WBJEE2022 https://rationalsolver.com/16576/question-under-which-following-condition-system-equations?show=16577#a16577 Tue, 07 Jun 2022 17:30:03 +0000 Answered: If for each m > 1, the subsequence $(x_{mn})$ of $(x_n)$ is convergent, then can we conclude $(x_n)$ is convergent? https://rationalsolver.com/16574/for-each-subsequence-convergent-then-conclude-convergent?show=16575#a16575 Real Analysis https://rationalsolver.com/16574/for-each-subsequence-convergent-then-conclude-convergent?show=16575#a16575 Tue, 24 May 2022 18:59:05 +0000 Answered: Prove that in a tree with maximum degree , there are at least leaves https://rationalsolver.com/16572/prove-that-in-tree-with-maximum-degree-there-are-least-leaves?show=16573#a16573 Discrete Mathematics https://rationalsolver.com/16572/prove-that-in-tree-with-maximum-degree-there-are-least-leaves?show=16573#a16573 Tue, 24 May 2022 18:25:32 +0000 Answered: 20 persons are sitting around a table. How many ways can we choose 3 persons, no two of whom are neighbours? https://rationalsolver.com/16570/persons-sitting-around-table-choose-persons-whom-neighbours?show=16571#a16571 Discrete Mathematics https://rationalsolver.com/16570/persons-sitting-around-table-choose-persons-whom-neighbours?show=16571#a16571 Mon, 23 May 2022 18:36:07 +0000 Answered: Find the number of all 20-digit integers in which no two consecutive digits are the same. https://rationalsolver.com/16568/find-the-number-digit-integers-which-consecutive-digits-same?show=16569#a16569 Discrete Mathematics https://rationalsolver.com/16568/find-the-number-digit-integers-which-consecutive-digits-same?show=16569#a16569 Mon, 23 May 2022 17:59:01 +0000 Answered: WBJEE 2022 Code B Question 2: Find locus. https://rationalsolver.com/16565/wbjee-2022-code-b-question-2-find-locus?show=16566#a16566 WBJEE2022 https://rationalsolver.com/16565/wbjee-2022-code-b-question-2-find-locus?show=16566#a16566 Mon, 23 May 2022 05:24:38 +0000 Find the equation of the circle passing through the vertices of the triangle . https://rationalsolver.com/16564/find-the-equation-circle-passing-through-vertices-triangle https://rationalsolver.com/16564/find-the-equation-circle-passing-through-vertices-triangle Mon, 23 May 2022 04:27:59 +0000 Answered: Describe all solutions of Ax=0 in parametric vector form, where A is row equivalent to the given matrix. https://rationalsolver.com/16562/describe-solutions-parametric-vector-where-equivalent-matrix?show=16563#a16563 Linear Algebra https://rationalsolver.com/16562/describe-solutions-parametric-vector-where-equivalent-matrix?show=16563#a16563 Sun, 22 May 2022 18:15:09 +0000 Answered: Suppose the maximum degree of a tree T is 4. If n1(T) = 20, n2(T) = n3(T) = n4(T), find the number of vertices of T. https://rationalsolver.com/16560/suppose-the-maximum-degree-tree-find-the-number-vertices-of?show=16561#a16561 Discrete Mathematics https://rationalsolver.com/16560/suppose-the-maximum-degree-tree-find-the-number-vertices-of?show=16561#a16561 Sun, 22 May 2022 17:47:49 +0000 Answered: Give an example of a connected planar graph with $v$ vertices, $e$ edges and $k$ components such $e=3v-6k$. https://rationalsolver.com/16558/example-connected-planar-graph-vertices-edges-components?show=16559#a16559 Discrete Mathematics https://rationalsolver.com/16558/example-connected-planar-graph-vertices-edges-components?show=16559#a16559 Sun, 22 May 2022 16:06:59 +0000 Answered: $x^2/x=6$ সমীকরণটির বীজ/বিজদয় হবে https://rationalsolver.com/16556/x-2-x-6?show=16557#a16557 Calculus https://rationalsolver.com/16556/x-2-x-6?show=16557#a16557 Sun, 16 Jan 2022 16:08:12 +0000 Answered: $ax^2+bx+c=0$ $(a\neq c)$ সমীকরণের বিজদয় সমান হলে https://rationalsolver.com/16554/ax-2-bx-c-0-a-neq-c?show=16555#a16555 Calculus https://rationalsolver.com/16554/ax-2-bx-c-0-a-neq-c?show=16555#a16555 Sun, 16 Jan 2022 15:52:41 +0000 Answered: WBJEE 2021 - Set A - Question 3: Find the value of $\alpha$. https://rationalsolver.com/16551/wbjee-2021-set-a-question-3-find-the-value-of-alpha?show=16552#a16552 WBJEE 2021 https://rationalsolver.com/16551/wbjee-2021-set-a-question-3-find-the-value-of-alpha?show=16552#a16552 Sun, 26 Sep 2021 04:11:55 +0000 Answered: WBJEE 2021 - Set A - Question 2: Find the value of $f(1)$. https://rationalsolver.com/16549/wbjee-2021-set-a-question-2-find-the-value-of-f-1?show=16550#a16550 WBJEE 2021 https://rationalsolver.com/16549/wbjee-2021-set-a-question-2-find-the-value-of-f-1?show=16550#a16550 Sun, 26 Sep 2021 03:51:57 +0000 Answered: WBJEE 2021 - Question 1 - Find the limit of I. https://rationalsolver.com/16510/wbjee-2021-question-1-find-the-limit-of-i?show=16511#a16511 WBJEE 2021 https://rationalsolver.com/16510/wbjee-2021-question-1-find-the-limit-of-i?show=16511#a16511 Sun, 18 Jul 2021 06:08:50 +0000 CSIR UGC NET June 2019 Part B Question 53 https://rationalsolver.com/16493/csir-ugc-net-june-2019-part-b-question-53 Probability https://rationalsolver.com/16493/csir-ugc-net-june-2019-part-b-question-53 Sat, 12 Jun 2021 20:43:49 +0000 CSIR UGC NET June 2019 Part B Question 52 https://rationalsolver.com/16492/csir-ugc-net-june-2019-part-b-question-52 Probability https://rationalsolver.com/16492/csir-ugc-net-june-2019-part-b-question-52 Sat, 12 Jun 2021 20:43:22 +0000 CSIR UGC NET June 2019 Part B Question 51 https://rationalsolver.com/16491/csir-ugc-net-june-2019-part-b-question-51 Probability https://rationalsolver.com/16491/csir-ugc-net-june-2019-part-b-question-51 Sat, 12 Jun 2021 20:43:01 +0000 CSIR UGC NET June 2019 Part B Question 50 https://rationalsolver.com/16490/csir-ugc-net-june-2019-part-b-question-50 Probability https://rationalsolver.com/16490/csir-ugc-net-june-2019-part-b-question-50 Sat, 12 Jun 2021 20:36:22 +0000 CSIR UGC NET June 2019 Part B Question 49 https://rationalsolver.com/16489/csir-ugc-net-june-2019-part-b-question-49 Probability https://rationalsolver.com/16489/csir-ugc-net-june-2019-part-b-question-49 Sat, 12 Jun 2021 20:35:06 +0000 CSIR UGC NET June 2019 Unit III Question 48 https://rationalsolver.com/16488/csir-ugc-net-june-2019-unit-iii-question-48 Differential Equation https://rationalsolver.com/16488/csir-ugc-net-june-2019-unit-iii-question-48 Sat, 12 Jun 2021 20:31:01 +0000 CSIR UGC NET June 2019 Unit III Question 47 https://rationalsolver.com/16487/csir-ugc-net-june-2019-unit-iii-question-47 Differential Equation https://rationalsolver.com/16487/csir-ugc-net-june-2019-unit-iii-question-47 Sat, 12 Jun 2021 20:29:45 +0000 CSIR UGC NET June 2019 Unit III Question 46 https://rationalsolver.com/16486/csir-ugc-net-june-2019-unit-iii-question-46 Differential Equation https://rationalsolver.com/16486/csir-ugc-net-june-2019-unit-iii-question-46 Sat, 12 Jun 2021 20:29:16 +0000 CSIR UGC NET June 2019 Unit III Question 45 https://rationalsolver.com/16485/csir-ugc-net-june-2019-unit-iii-question-45 Differential Equation https://rationalsolver.com/16485/csir-ugc-net-june-2019-unit-iii-question-45 Sat, 12 Jun 2021 20:28:06 +0000 CSIR UGC NET June 2019 Unit III Question 44 https://rationalsolver.com/16484/csir-ugc-net-june-2019-unit-iii-question-44 Differential Equation https://rationalsolver.com/16484/csir-ugc-net-june-2019-unit-iii-question-44 Sat, 12 Jun 2021 20:26:35 +0000 CSIR UGC NET June 2019 Unit III Question 43 https://rationalsolver.com/16483/csir-ugc-net-june-2019-unit-iii-question-43 Differential Equation https://rationalsolver.com/16483/csir-ugc-net-june-2019-unit-iii-question-43 Sat, 12 Jun 2021 20:25:38 +0000 CSIR UGC NET June 2019 Unit III Question 42 https://rationalsolver.com/16482/csir-ugc-net-june-2019-unit-iii-question-42 Differential Equation https://rationalsolver.com/16482/csir-ugc-net-june-2019-unit-iii-question-42 Sat, 12 Jun 2021 20:24:04 +0000 CSIR UGC NET June 2019 Unit III Question 41 https://rationalsolver.com/16481/csir-ugc-net-june-2019-unit-iii-question-41 Differential Equation https://rationalsolver.com/16481/csir-ugc-net-june-2019-unit-iii-question-41 Sat, 12 Jun 2021 20:23:13 +0000 CSIR UGC NET June 2019 Part B Question 40 https://rationalsolver.com/16480/csir-ugc-net-june-2019-part-b-question-40 Topology https://rationalsolver.com/16480/csir-ugc-net-june-2019-part-b-question-40 Sat, 12 Jun 2021 20:21:27 +0000 CSIR UGC NET June 2019 Part B Question 39 https://rationalsolver.com/16479/csir-ugc-net-june-2019-part-b-question-39 Abstract Algebra https://rationalsolver.com/16479/csir-ugc-net-june-2019-part-b-question-39 Sat, 12 Jun 2021 20:20:29 +0000 CSIR UGC NET June 2019 Part B Question 38 https://rationalsolver.com/16478/csir-ugc-net-june-2019-part-b-question-38 Abstract Algebra https://rationalsolver.com/16478/csir-ugc-net-june-2019-part-b-question-38 Sat, 12 Jun 2021 20:17:39 +0000 CSIR UGC NET June 2019 Part B Question 37 https://rationalsolver.com/16477/csir-ugc-net-june-2019-part-b-question-37 Abstract Algebra https://rationalsolver.com/16477/csir-ugc-net-june-2019-part-b-question-37 Sat, 12 Jun 2021 20:16:40 +0000 CSIR UGC NET June 2019 Part B Question 36 https://rationalsolver.com/16476/csir-ugc-net-june-2019-part-b-question-36 Complex Analysis https://rationalsolver.com/16476/csir-ugc-net-june-2019-part-b-question-36 Sat, 12 Jun 2021 20:15:00 +0000 CSIR UGC NET June 2019 Part B Question 35 https://rationalsolver.com/16475/csir-ugc-net-june-2019-part-b-question-35 Complex Analysis https://rationalsolver.com/16475/csir-ugc-net-june-2019-part-b-question-35 Sat, 12 Jun 2021 20:14:31 +0000 CSIR UGC NET June 2019 Part B Question 34 https://rationalsolver.com/16474/csir-ugc-net-june-2019-part-b-question-34 Complex Analysis https://rationalsolver.com/16474/csir-ugc-net-june-2019-part-b-question-34 Sat, 12 Jun 2021 20:13:53 +0000 CSIR UGC NET June 2019 Part B Question 33 https://rationalsolver.com/16473/csir-ugc-net-june-2019-part-b-question-33 Complex Analysis https://rationalsolver.com/16473/csir-ugc-net-june-2019-part-b-question-33 Sat, 12 Jun 2021 20:13:09 +0000 CSIR UGC NET June 2019 Part B Question 32 https://rationalsolver.com/16472/csir-ugc-net-june-2019-part-b-question-32 Functional Analysis https://rationalsolver.com/16472/csir-ugc-net-june-2019-part-b-question-32 Sat, 12 Jun 2021 20:12:29 +0000