Amrita Entrance Examination - Engineering
Question : Directions: Two statements are given, followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All plums are pomegranates. Some plums are lemons. Conclusions: I. Some pomegranates are lemons. II. No lemon is a pomegranate. III. Some pomegranates are plums.
Option 1: Only conclusion III follows
Option 2: Only conclusion I follows
Option 3: Only conclusions I and III follow
Option 4: Only conclusions I and II follow
Correct Answer: Only conclusions I and III follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyze the conclusions – Conclusion (I): Some pomegranates are lemons – From the Venn diagram, it is evident that the circles representing pomegranates and lemons overlap
Question : Divide 50 into two parts so that the sum of their reciprocal is $\frac{1}{12}$.
Option 1: 35 and 15
Option 2: 20 and 30
Option 3: 24 and 36
Option 4: 28 and 22
Correct Answer: 20 and 30
Solution : Given: The number is 50. Let the first part of 50 be $\text{x}$. The second part will be $50 - \text{x}$. The sum of their reciprocal is $\frac{1}{12}$ $\Rightarrow \frac 1 {\text {x} }+ \frac 1 {\text {50-x} }=\frac 1 {\text {12} }$
Question : Directions: Five professors A, B, C, D, and E are sitting in a row facing the North (not necessarily in the same order). A is second to the left of D. Only two professors are sitting between C and E. No professor is sitting to the right of E. How many professors are sitting to the left of D?
Option 1: 3
Option 2: 0
Option 3: 2
Option 4: 1
Correct Answer: 2
Solution : 1. No professor is sitting to the right of E. Only two professors are sitting between C and E.
2. A is second to the left of D.
So, the final arrangement will be as follows –
Thus, two persons are left of D. Hence,
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Candidates who have appeared in Phase I of the AEEE 2024 examination can also appear for Phase II examination by paying an additional fee of INR 600. This is an opportunity given to the candidates to improve their scores and also it is not compulsory to apply again as
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