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Logic: deduction and induction, Analogy, Numerical relations and reasoning

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline \textbf{Year}&\textbf{2021-1}&\textbf{2021-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum} \\\hline\textbf{1 Mark Count}&0&0&0&0&0 \\\hline\textbf{2 Marks Count}&1&1&1&1&1 \\\hline\textbf{Total Marks}&2&2&\bf{2}&\bf{2}&\bf{2}\\\hline \end{array}}}$$

# Recent questions in Analytical Aptitude

1
Six students $\text{P, Q, R, S, T and U}$, with distinct heights, compare their heights and make the following observations. $\text{Observation I}$: $\text{S}$ is taller than $\text{R}$. $\text{Observation II}$: $\text{Q}$ is the shortest of all. $\text{Observation III}$: ... $\text{R}$ is the same as the number of students shorter than ____________. $\text{T}$ $\text{R}$ $\text{S}$ $\text{P}$
2
Given below are two statements $1$ and $2$, and two conclusions $\text{I}$ and $\text{II}$ $\text{Statement 1:}$ All bacteria are microorganisms. $\text{Statement 2:}$ All pathogens are microorganisms. $\text{Conclusion I:}$ ... is correct Either conclusion $\text{I}$ or $\text{II}$ is correct Neither conclusion $\text{I}$ nor $\text{II}$ is correct
3
If $P = 3$, $R = 27$, $T = 243$, then $Q + S =$ ________ $40$ $80$ $90$ $110$
4
Fill in the missing value
5
Some students were not involved in the strike. If the above statement is true, which of the following conclusions is/are logically necessary? Some who were involved in the strike were students. No student was involved in the strike. At least one student was involved in the strike. Some who were not involved in the strike were students. $1$ and $2$ $3$ $4$ $2$ and $3$
6
Consider the following sentences: All benches are beds. No bed is bulb. Some bulbs are lamps. Which of the following can be inferred? Some beds are lamps. Some lamps are beds. Only i Only ii Both i and ii Neither i nor ii
7
In a certain code, $AMCF$ is written as $EQGJ$ and $NKUF$ is written as $ROYJ$. How will $DHLP$ be written in that code? $RSTN$ $TLPH$ $HLPT$ $XSVR$
8
Find the missing group of letters in the following series: $BC, FCH, LMNO,$ ______ $UVWXY$ $TUVWX$ $STUVW$ $RSTUV$
9
Consider the following three statements: Some roses are red. All red flowers fade quickly. Some roses fade quickly. Which of the following statements can be logically inferred from the above statements? If (i) is true and (ii) is false, then (iii) is false. If (i) is true and (ii) is false, ... is true. If (i) and (ii) are true, then (iii) is true. If (i) and (ii) are false, then (iii) is false.
10
Some tables are shelves. Some shelves are chairs. All chairs are benches. Which of the following conclusion can be deduced from the preceding sentences? At least one bench is a table At least one shelf is a bench At least one chair is a table All benches are chairs Only i Only ii Only ii and iii Only iv
1 vote
11
All people in a certain island are either 'Knights' or 'Knaves' and each person knows every other person's identity. Knights never lie, and Knaves ALWAYS lie. $P$ says "Both of us are Knights". $Q$ says "None of us are Knaves". Which one of the following can be logically inferred ... . $P$ is a knight; Q is a Knave. Both $P$ and $Q$ are Knaves. The identities of $P, Q$ cannot be determined.
12
Fact: If it rains, then the field is wet. Read the following statements: It rains The field is not wet The field is wet It did not rain Which one of the options given below is NOT logically possible, based on the given fact? If (iii), then (iv). If (i), then (iii). If (i), then (ii). If (ii), then (iv).
13
Read the statements: All women are entrepreneurs. Some women are doctors. Which of the following conclusions can be logically inferred from the above statements? All women are doctors All doctors are entrepreneurs All entrepreneurs are women Some entrepreneurs are doctors
14
If $'KCLFTSB$' stands for ‘best of luck’ and '$SHSWDG$' stands for 'good wishes', which of the following indicates 'ace the exam'? $MCHTX$ $MXHTC$ $XMHCT$ $XMHTC$
15
All professors are researchers Some scientists are professors Which of the given conclusions is logically valid and is inferred from the above arguments? All scientists are researchers All professors are scientists Some researchers are scientists No conclusion follows
16
Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows. Statements: No manager is a leader. All leaders are executives. Conclusions: No manager is an executive. No executive is a manager. Only conclusion I follows. Only conclusion II follows. Neither conclusion I nor II follows. Both conclusions I and II follow.
17
Tanya is older than Eric. Cliff is older than Tanya. Eric is older than Cliff. If the first two statements are true, then the third statement is: True False Uncertain Data insufficient
Consider the following statements relating to the level of poker play of four players $P,Q,R \ and \ S$. $P$ always beats $Q$ $R$ always beats $S$ $S$ loses to $P$ only sometimes. $R$ always loses to $Q$ Which of the following can be logically inferred from the above statements ... other players $S$ is the absolute worst player in the set (i). only (ii) only (i) and (ii) only' neither (i) nor (ii)