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TIFR CSE 2014 | Part A | Question: 7
Consider a sequence of non-negative numbers ${x_{n} : n = 1, 2, . . .}$. Which of the following statements cannot be true? $\sum ^{\infty }_{n=1} x_{n}= \infty $ and $\sum ^{\infty }_{n=1} x_{n}^{2}= \infty$. $\sum ^{\infty }_{n=1} x_{n}= \infty $ ... $\sum ^{\infty }_{n=1} x_{n} < \infty $ and $\sum ^{\infty }_{n=1} x_{n}^{2}= \infty$.
Consider a sequence of non-negative numbers ${x_{n} : n = 1, 2, . . .}$. Which of the following statements cannot be true?$\sum ^{\infty }_{n=1} x_{n}= \infty $ and $\sum...
973
views
commented
Aug 19, 2020
Quantitative Aptitude
tifr2014
quantitative-aptitude
number-series
+
–
1
answer
2
GATE CSE 1992 | Question: 15.a
Use Modus ponens $(A, A → B |= B)$ or resolution to show that the following set is inconsistent: $Q(x) \rightarrow P (x) \vee \sim R (a)$ $R (a) \vee \sim Q(a)$ $Q(a)$ $\sim P (y)$ where $x$ and $y$ are universally quantified variables, $a$ is a constant and $P, Q, R$ are monadic predicates.
Use Modus ponens $(A, A → B |= B)$ or resolution to show that the following set is inconsistent:$Q(x) \rightarrow P (x) \vee \sim R (a)$$R (a) \vee \sim Q(a)$$Q(a)$$\si...
3.4k
views
commented
Aug 17, 2020
Mathematical Logic
gate1992
normal
mathematical-logic
propositional-logic
descriptive
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–
1
answer
3
GATE2017 EC-2: GA-7
Each of $P, Q, R, S, W, X, Y$and $Z$ has been married at most once. $X$ and $Y$ are married and have two children $P$ and $Q. Z$ is the grandfather of the daughter $S$ of $P$. Further, $Z$ and $W$ are married and are parents of $R$. Which one of the following ... -in-law of $R$ $P$ and $R$ are not married to each other $P$ is a son of $X$ and $Y$ $Q$ cannot be married to $R$
Each of $P, Q, R, S, W, X, Y$and $Z$ has been married at most once. $X$ and $Y$ are married and have two children $P$ and $Q. Z$ is the grandfather of the daughter $S$ of...
1.7k
views
commented
Jul 29, 2020
Analytical Aptitude
gate2017-ec-2
general-aptitude
logical-reasoning
family-relationship
+
–
2
answers
4
GATE2017 CE-1: GA-7
Students applying for hostel rooms are allotted rooms in order of seniority. Students already staying in a room will move if they get a room in their preferred list. Preferences of lower ranked applicants are ignored during allocation. Given the data below, which room will Ajit stay in ? ... $P$ $Q$ $R$ $S$
Students applying for hostel rooms are allotted rooms in order of seniority. Students already staying in a room will move if they get a room in their preferred list. Pref...
1.8k
views
commented
Jul 28, 2020
Analytical Aptitude
gate2017-ce-1
logical-reasoning
normal
+
–
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