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This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Herethestatementis"Ifp,thenq"\\ i.e.p\to q\\ Contrapositiveofthestatementp\to qis\left(\sim q\right)\to \left(\sim p\right)\\ i.e.If\sim q,then\sim p.\\ Hence,thecorrectoptionis\left(c\right).\end{array}$

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Letp:Sunisnotshining.\\ q:Skyisfilledwithclouds.\\ So,theconverseofthestatementp\to qisq\to p.\\ i.e.,IfSkyisfilledwithclouds,thentheSunisnotshining.\\ Hence,thecorrectoptionis\left(a\right).\end{array}$

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Letp:x>y\\ andq:x+a>y+a\\ p\to q\\ Converseoftheabovestatementisq\to p.\\ Therefore,ifx+a>y+athenx>y.\\ Hence,thecorrectoptionis\left(b\right).\end{array}$

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Letp:7isgreaterthan5.\\ q:8isgreaterthan6.\\ \therefore p\to qi.e.,\sim p:7isnotgreaterthan5.\\ and\sim q:8isnotgreaterthan6.\\ So,\sim p\to \sim q:If8isnotgreaterthan6,then7isnotgreaterthan5.\\ Hence,thecorrectoptionis\left(c\right).\end{array}$

Yes, pursuing an MBA from Singapore is totally worth it. Infact it is a great choice for Indian students. It offers top-ranked universities, ample job opportunites and high salaries. Singapore offers excellent ROI, immigrant-friendly visa policies and global exposure in English-speaking environment.

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Letp:101isnotamultipleof3.\\ \sim p:101isamultipleof3.\\ Hence,thecorrectoptionis\left(a\right).\end{array}$

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Letp:RajeshandRajnilivesinBangalore.\\ q:RajeshlivedinBangalore.\\ andr:RajnilivedinBangalore.\\ \therefore \sim q:RajeshdidnotliveinBangalore.\\ \sim r:RajnididnotliveinBangalore.\\ So,\sim \left(q\vee r\right)=\left(\sim q\wedge \sim r\right):RajeshdidnotliveinBangaloreandRajnididnot\\ liveinBangalore.\\ Hence,thecorrectoptionis\left(c\right).\end{array}$

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Letp:PlantstakeinC{O}_{2}andgiveout{O}_2.\\ q:PlantstakeinC{O}_2.\\ andr:Plantsgiveout{O}_2.\\ \therefore \sim q:PlantsdonottakeinC{O}_2.\\ \sim r:Plantsdonotgiveout{O}_2.\\ So,\sim \left(q\wedge r\right)=\left(\sim q\vee \sim r\right):PlantsdonottakeinC{O}_{2}ordonotgiveout{O}_2.\\ Hence,thecorrectoptionis\left(b\right).\end{array}$

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Letp:72isdivisibleby2and3.\\ andq:72isdivisibleby2.\\ r:72isdivisibleby3.\\ \therefore \sim q:72isnotdivisibleby2.\\ \sim r:72isnotdivisibleby3.\\ So,\sim \left(q\wedge r\right):\sim q\vee \sim r\\ \Rightarrow 72isnotdivisibleby2or72isnotdivisibleby3.\\ Hence,thecorrectoptionis\left(b\right).\end{array}$

No. GMAT is not mandatory. Most top business schools in Singapore such as NUS, NTU, and INSEAD accept GMAT or GRE score as part of their admissions criteria. Also, some institutions like Singapore Management University (SMU) conducts in home entrance test such as the SMU Admissions Test for eligible candidates.

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Letp:7isgreaterthan8.\\ \sim p:7isnotgreaterthan8.\\ Hence,thecorrectoptionis\left(b\right).\end{array}$

According to the Wright State University enrollment data for 2024-2025, the international applications received by the university were 8,894, out of which 8,463 students were rolled out an offer letter, resulting in an acceptance rate of 95% which is almost consistent over the years. 

It can be concluded that it is extremely easy to be a part of Wright State University admissions as this acceptance rate remains almost the same. Students can keep this university as a backup and a safe option. 

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Letp:Acircleisanellipse.\\ \sim p:Acircleisnotanellipse.\\ Hence,thecorrectoptionis\left(c\right).\end{array}$

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Connectivewordis"and".\\ Hence,thecorrectoptionis\left(d\right).\end{array}$

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l}In\text{'}2+7>9or2+7<9\text{'}theconnectiveis\text{'}or\text{'}.\\ Hence,thecorrectoptionis\left(b\right).\end{array}$

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Togiveordercannotbeastatement.\\ So,\text{'}Comehere\text{'}isnotastatement.\\ Hence,thecorrectoptionis\left(d\right).\end{array}$

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l}\text{Since\hspace{0.17em}}statementisasentencewhichiseithertrueorfalse.\\ So,6isanaturalnumberwhichistrue.\\ Hence,thecorrectoptionis\left(c\right).\end{array}$

This is a short answer type question as classified in NCERT Exemplar

$\begin{array}{l}Letp:n^{2}isaneve\mathrm{ninteger}.\\ q:nisalsoaneven\text{\hspace{0.17em}integer}.\\ Alsolet\sim qistruei.e.,nisnotaneven\text{\hspace{0.17em}integer}.\\ \Rightarrow n^{2}isnotaneven\text{\hspace{0.17em}integer}.\\ \Rightarrow \sim pistrue.\left[?Squareofanodd\text{\hspace{0.17em}integer}isodd\right]\\ Hence,\sim qistrue\Rightarrow \sim pistrue.\end{array}$